[User]
Find the area of the region bounded by the curves f(x) = -3cos(1π((2x)/(2x + 1)) - 2) + 2, g(x) = (-1x + 1)/(-1x - 1), x = -1.6, and x = 0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(-3cos(2πx - 1) + 1)^2 + 2(-3cos(2πx - 1) + 1) + 5 and g(x) = 2|x + 1| - 1 from x = 0.0 to x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1cos(1π(2|x| + 1) + 2) - 1, g(x) = (-2x - 2)/(3x), x = 2.4, and x = 3.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-1|x - 3| + 3) - 3)/(-2(-1|x - 3| + 3) - 3) and g(x) = -3x^2 + 3 from x = -0.7 to x = 0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(3e^(-1x) - 1) - 3)/(-3(3e^(-1x) - 1) - 3), g(x) = -5x^2 + 5x + 4, x = -0.4, and x = 1.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3cos(2π(3x^2 - 2x + 1) + 2) - 3, g(x) = (-3x - 2)/(2x - 3), x = -4.0, and x = -3.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-1sin(2πx + 1) + 1)^2 - 5(-1sin(2πx + 1) + 1) - 3 and g(x) = -3|x + 2| + 1 between the vertical lines x = -3.8 and x = -3.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(-2|x - 2| + 3) + 1|, g(x) = 4x^2 + 4x - 1, x = -2.1, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-3cos(1πx) - 2) - 1)/(1(-3cos(1πx) - 2)) and g(x) = (1x - 3)/(-1x - 3) between the vertical lines x = 3.0 and x = 4.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2sin(1π(1x - 2) - 2) + 2, g(x) = 3x^2 - 5x - 5, x = -0.7, and x = 2.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 4(-3sin(2πx - 1) + 2) + 1, g(x) = -3x^2 - 3x + 4, x = -0.4, and x = 0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(1x - 2) - 1 and g(x) = (2x - 3)/(-1x + 2) between the vertical lines x = 1.6 and x = 2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(1|x + 1| - 3) + 2)/(2(1|x + 1| - 3) - 1) and g(x) = -2|x| - 2 between the vertical lines x = -4.5 and x = 2.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (3(-2|x + 2| + 2) + 2)/(-1(-2|x + 2| + 2)) and g(x) = -3x^2 - 2x from x = -0.7 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(-4x - 3) - 2| + 1, g(x) = 2|x + 1| + 3, x = -2.5, and x = -0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3cos(1π(2x - 4) + 1) + 2, g(x) = -2x + 3, x = 1.0, and x = 1.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2sin(3π(-1x) - 1) + 1 and g(x) = 5x + 2 from x = -0.6 to x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(3|x + 1| - 1)^2 - 4(3|x + 1| - 1) - 1 and g(x) = (-2x)/(3x - 2) from x = -2.7 to x = -1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-2x + 4)^2 - 2 and g(x) = -2|x| + 2 from x = 1.5 to x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(2x^2 - 5x - 2) + 3)/(1(2x^2 - 5x - 2) - 3) and g(x) = 2x^2 - 1x - 5 from x = -1.2 to x = 1.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-3cos(1πx + 1))^2 + 2(-3cos(1πx + 1)) and g(x) = (2x)/(-2x + 1) from x = -4.7 to x = -4.6000000000000005. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(1π(2x + 3) - 3) - 1 and g(x) = (-1x + 1)/(-3x + 4) between the vertical lines x = -0.4 and x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-5x^2 - 4x + 4) - 1| + 2 and g(x) = -2x + 3 between the vertical lines x = -1.5 and x = -1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-3|x + 3| - 1) + 2 and g(x) = -2x^2 + 3x - 1 between the vertical lines x = -0.9 and x = 3.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(-1cos(2πx + 2) - 3)| - 1 and g(x) = 1x + 1 from x = 0.1 to x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3sin(1π((2x - 3)/(2x - 1)) + 3) + 3, g(x) = -4x^2 - 3x + 1, x = -0.0, and x = 0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(-2|x - 2| - 2)^2 + 3(-2|x - 2| - 2) - 2, g(x) = 1|x + 3| + 2, x = 0.7, and x = 3.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(1π(1x^2 + 4x + 3) - 1) - 2 and g(x) = -2x^2 - 2x + 4 between the vertical lines x = 1.4 and x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(-3sin(1πx) - 2) + 1)/(1(-3sin(1πx) - 2)) and g(x) = -2|x - 3| - 1 from x = -0.8 to x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((-2x)/(-3x + 4)) - 1| + 2 and g(x) = -1x^2 + 1x + 4 between the vertical lines x = -0.7 and x = 0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2sin(3π((1x + 1)/(3x)) + 2) - 3 and g(x) = -3|x| + 3 between the vertical lines x = -2.4 and x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -4(1cos(1πx - 3)) + 4, g(x) = -1x^2 + 1, x = 0.8, and x = 1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3(3|x - 2| - 2) - 1, g(x) = 3x + 3, x = 0.7, and x = 4.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2((2x + 1)/(1x - 3)) - 2)/(3((2x + 1)/(1x - 3)) + 1), g(x) = -1|x - 2| + 1, x = -0.7, and x = 0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|((-3x - 2)/(2x)) - 3| and g(x) = -5x + 2 from x = -1.0 to x = -0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(-1x - 4) - 1)/(3(-1x - 4) + 1) and g(x) = 2x^2 - 5x + 1 from x = 0.5 to x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-5x^2 + 4) - 3| + 2 and g(x) = 3|x + 3| + 1 between the vertical lines x = -0.9 and x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3|(1x^2 + 4x + 4) - 1| - 1, g(x) = 2|x - 2| - 2, x = -4.2, and x = -0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (1(-3|x + 2| + 3) - 1)/(-1(-3|x + 2| + 3) + 2) and g(x) = -5x + 4 from x = -1.6 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4((3x + 2)/(3x + 3))^2 - 5((3x + 2)/(3x + 3)) - 4 and g(x) = 4x + 5 from x = -1.5 to x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(-3cos(2πx - 3)) - 1)/(-1(-3cos(2πx - 3))) and g(x) = (1x - 3)/(-1x + 2) from x = 3.2 to x = 3.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1cos(2π(-1|x - 3| + 3) + 3) and g(x) = -2x^2 + 5x - 3 between the vertical lines x = 0.5 and x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π(5x - 5) + 1) + 3 and g(x) = 4x^2 - 5 between the vertical lines x = 1.4 and x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3|(-1sin(1πx + 2) + 3) - 3| - 1, g(x) = 4x^2 - 2x, x = -0.4, and x = 0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(1|x + 3| - 2)^2 + 4 and g(x) = 5x^2 + 1x - 4 from x = -1.4 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3sin(3π(1x^2 - 2x + 1) - 3) + 2, g(x) = 1x^2 + 5x - 4, x = 0.6, and x = 0.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1|(-3sin(1πx - 3)) - 3| + 1 and g(x) = (2x - 3)/(-2x + 3) from x = -3.9 to x = -3.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3e^(2(-4x^2 - 3x + 3)) and g(x) = -1x^2 + 1x + 3 between the vertical lines x = 0.6 and x = 2.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(3sin(1πx - 1) - 2) + 1)/(2(3sin(1πx - 1) - 2) + 1) and g(x) = 3|x| - 1 between the vertical lines x = -3.5 and x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2e^(1(3x^2 - 2x - 5)) + 1 and g(x) = -3x - 5 between the vertical lines x = -1.0 and x = 1.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5(5x^2 + 4x - 2) and g(x) = 3x + 5 from x = -1.2 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2(2cos(3πx - 1) + 1)^2 - 1(2cos(3πx - 1) + 1) - 4 and g(x) = -4x^2 - 1x + 1 from x = 0.6 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3((1x)/(2x - 1)) - 1)/(-1((1x)/(2x - 1)) + 2) and g(x) = 1x^2 - 5x + 3 from x = 1.6 to x = 3.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3e^(1((2x - 3)/(3x))) + 3 and g(x) = (2x - 3)/(1x - 2) between the vertical lines x = 0.9 and x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3(3sin(3πx - 2) - 1), g(x) = 1x^2 - 2x + 3, x = 0.2, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2sin(1π(1|x| + 3) - 1) - 1 and g(x) = -2x^2 + 5x - 2 from x = -0.1 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(2x - 2)^2 - 1(2x - 2) + 5 and g(x) = 1|x| - 3 from x = 0.2 to x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2sin(2π((-2x + 3)/(-1x - 3)) + 1) + 3, g(x) = 3x + 4, x = -0.8, and x = -0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1|x| + 2) - 3)/(-2(-1|x| + 2)), g(x) = -5x - 3, x = -1.6, and x = -1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2cos(3π(-3|x|) + 3) + 1 and g(x) = -2|x - 2| + 3 from x = 2.9 to x = 3.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(3π(1x^2 - 1x + 5) - 1) + 1, g(x) = 4x + 5, x = -1.1, and x = -1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1sin(1π(3x + 2) - 3) + 1 and g(x) = 1|x + 2| - 3 between the vertical lines x = 1.7 and x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1cos(2π(-2x - 1) + 1) + 2 and g(x) = 1x^2 - 1x + 3 between the vertical lines x = 0.8 and x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2sin(2π(-4x^2 - 2x - 1) + 1) - 3 and g(x) = (3x + 1)/(1x + 2) from x = -1.1 to x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(3sin(1πx - 1) - 3) - 2)/(1(3sin(1πx - 1) - 3) + 3), g(x) = (2x - 1)/(-1x + 2), x = 0.6, and x = 1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(-2cos(3πx - 3) - 2) - 1| - 2 and g(x) = 4x^2 - 1x from x = -0.5 to x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -5(4x - 1)^2 + 5(4x - 1) - 1 and g(x) = -2|x - 2| + 2 from x = 0.2 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1e^(1(3|x - 2|)), g(x) = 2x^2 + 5x + 3, x = 1.2, and x = 3.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3(1|x - 2| - 2) - 3 and g(x) = 1x - 4 from x = -0.5 to x = 3.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(3π((3x + 1)/(-1x + 3)) + 1) + 2 and g(x) = (-1x + 3)/(2x + 3) between the vertical lines x = 1.9 and x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2((1x - 1)/(-3x - 1)) + 4, g(x) = 4x^2 + 2x - 4, x = -1.6, and x = -0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2e^(-2(-3x^2 + 4)) + 3 and g(x) = -5x^2 - 2x + 5 from x = -0.9 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(2π(2x + 4) + 1), g(x) = -1x^2 + 5x, x = -0.1, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(1x^2 + 5x - 4) - 1)/(-1(1x^2 + 5x - 4) - 2) and g(x) = 3x - 3 from x = 0.5 to x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2(1x + 2) - 1, g(x) = (1x - 1)/(2x - 1), x = -2.8, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(3cos(2πx + 1)) - 5 and g(x) = 3x^2 - 3x - 1 between the vertical lines x = 0.6 and x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2cos(2π((2x + 2)/(-2x)) + 3) and g(x) = 3|x + 3| from x = -3.2 to x = -2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-1cos(3πx + 2) + 3) - 1| - 3 and g(x) = 2x + 5 between the vertical lines x = -1.3 and x = -1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-5x^2 + 2x + 5) + 1 and g(x) = -5x^2 - 1x + 1 between the vertical lines x = -0.9 and x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(-1cos(1πx + 1) + 2) + 1, g(x) = 5x^2 - 1x - 5, x = -1.2, and x = 1.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2sin(1π(3x^2 - 4x - 3) + 2) and g(x) = -1|x + 1| between the vertical lines x = -2.2 and x = -2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2((-3x - 1)/(-1x - 3)) + 1)/(2((-3x - 1)/(-1x - 3)) + 2) and g(x) = -2|x + 1| + 2 from x = -0.6 to x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1e^(-1((-1x + 1)/(-1x + 3))) - 1 and g(x) = 4x + 1 between the vertical lines x = -0.3 and x = 2.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(-2sin(1πx - 3) + 1)^2 - 3(-2sin(1πx - 3) + 1) - 3, g(x) = 3x + 1, x = -3.1, and x = -2.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -4((-1x + 3)/(-1x + 2))^2 + 5((-1x + 3)/(-1x + 2)) + 5, g(x) = 3x^2 + 3x + 3, x = -1.4, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(5x - 3) - 3)/(2(5x - 3)) and g(x) = -2x + 5 between the vertical lines x = 0.5 and x = 2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(2π(1|x - 1| + 2) + 1) - 2 and g(x) = (1x + 2)/(-2x - 1) between the vertical lines x = -4.7 and x = -4.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2(-3x^2 + 2x) - 3, g(x) = -2x^2 - 3, x = 0.0, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1sin(3πx + 1)) - 3 and g(x) = 3x + 5 between the vertical lines x = -3.0 and x = -2.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(2cos(3πx - 3) + 2) - 1| + 2 and g(x) = 2x + 2 from x = 0.1 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(2|x + 2| - 1) + 2| - 2 and g(x) = (-2x - 1)/(-3x - 1) from x = -2.8 to x = -1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(3x - 1) - 1) + 1 and g(x) = -1x - 1 between the vertical lines x = -2.9 and x = -2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3(2x^2 + 5x - 1) - 3 and g(x) = 1|x + 1| + 3 from x = -2.2 to x = -0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(-3|x - 1| + 3) - 1)/(3(-3|x - 1| + 3) + 2), g(x) = -2|x| - 3, x = -0.3, and x = 2.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5(2cos(3πx + 1) - 1) + 2 and g(x) = -3x + 2 from x = -1.5 to x = -1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1sin(3π(-2x - 2) - 1) - 1, g(x) = -4x^2 + 5x - 1, x = 1.1, and x = 1.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3cos(1π(-2|x - 3|) + 3) - 2, g(x) = (-1x + 1)/(2x + 3), x = -0.4, and x = 0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2((3x + 3)/(-1x - 1)) - 1)/(-1((3x + 3)/(-1x - 1)) + 2) and g(x) = 1x^2 - 1x + 1 from x = 0.0 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(1π(1x)) + 3, g(x) = -3|x - 3| + 2, x = 2.8, and x = 3.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-4x^2 - 4x - 2) - 1)/(2(-4x^2 - 4x - 2)) and g(x) = -3|x - 3| + 2 between the vertical lines x = 2.0 and x = 4.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2sin(1π(1x + 2) - 2) - 1 and g(x) = -2x + 2 from x = 1.7 to x = 2.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(5x^2 - 4x - 4) - 4 and g(x) = 1|x + 2| + 3 between the vertical lines x = -0.8 and x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(-4x^2 + 5x + 1) + 2, g(x) = 2|x + 2| + 2, x = -0.5, and x = 2.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(-3x - 1) + 2| + 1 and g(x) = 1|x| + 2 between the vertical lines x = 0.2 and x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2(-3sin(2πx + 3) - 1)^2 + 5(-3sin(2πx + 3) - 1) - 2, g(x) = -1x^2 - 3x + 1, x = 1.1, and x = 1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3cos(2π(-3x + 2) - 3) and g(x) = 1x^2 - 5x + 2 from x = 4.6 to x = 4.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|(2cos(2πx) - 2) + 3| + 3, g(x) = 1|x - 1| - 3, x = 0.1, and x = 1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -4(-2cos(2πx - 1) - 1) + 1 and g(x) = (-2x + 2)/(-3x + 2) from x = 1.8 to x = 2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|(-3cos(1πx + 3) - 2) - 1| - 3, g(x) = 3x^2 - 3x - 3, x = 0.0, and x = 0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(-2sin(1πx) - 3)^2 + 2(-2sin(1πx) - 3) + 2 and g(x) = 3x + 2 between the vertical lines x = -4.8 and x = -4.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(1cos(1πx - 1) + 2) + 1| + 1, g(x) = 2|x - 2| + 3, x = 1.7, and x = 2.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1sin(2π(-1x^2 - 3x + 5) + 2) and g(x) = 3|x + 2| - 1 from x = -2.2 to x = -2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3e^(-2(-4x^2 - 2x + 2)) - 3 and g(x) = -3x^2 - 1 from x = -0.8 to x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2e^(-1(1x + 3)) + 3 and g(x) = (3x - 3)/(-2x + 3) between the vertical lines x = -3.8 and x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(1x^2 + 3x + 1)^2 + 2(1x^2 + 3x + 1) and g(x) = -1x^2 - 5x - 4 between the vertical lines x = -2.9 and x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(2|x - 1| + 1) - 3)/(3(2|x - 1| + 1)), g(x) = -2|x| + 3, x = -2.1, and x = 2.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (1(2|x|) - 2)/(-2(2|x|) + 3) and g(x) = -3|x + 2| - 1 from x = -0.7 to x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1((-2x + 2)/(-3x + 4))^2 - 1((-2x + 2)/(-3x + 4)) - 1, g(x) = 1x^2 + 5x - 1, x = -4.8, and x = -0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((1x + 1)/(3x + 2))^2 - 5((1x + 1)/(3x + 2)) + 4 and g(x) = 1|x - 3| + 3 between the vertical lines x = -0.8 and x = -0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1sin(2π((-1x + 1)/(2x + 2)) + 3) and g(x) = (-1x + 2)/(3x) from x = -1.1 to x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(2cos(1πx - 2) + 1) - 3)/(2(2cos(1πx - 2) + 1) - 1) and g(x) = -1|x| + 3 between the vertical lines x = -2.5 and x = -2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(1x) - 1)/(-2(1x) - 1) and g(x) = 5x^2 - 1x - 3 between the vertical lines x = -0.8 and x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-3cos(3πx - 3) + 2) and g(x) = 5x^2 - 3x + 1 from x = -0.2 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(1x + 4) - 3)/(-2(1x + 4) - 3), g(x) = (2x + 1)/(2x), x = -3.9, and x = -0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(2π(-2x^2 + 3x - 3) - 3), g(x) = 3|x - 2| - 2, x = 2.2, and x = 2.3000000000000003. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(1sin(2πx - 3) + 3) - 1| - 2 and g(x) = 5x^2 + 3x - 2 from x = -1.5 to x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(2cos(1πx - 2) - 3)| + 1, g(x) = -1|x| + 3, x = 0.4, and x = 0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(3|x - 1| + 2) - 1)/(3(3|x - 1| + 2) - 2), g(x) = 2|x - 3| - 1, x = 2.3, and x = 3.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(-2x^2 - 2x) - 2| - 3, g(x) = 2x^2 - 4x + 3, x = -4.2, and x = 0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-2|x + 2| + 2))/(-2(-2|x + 2| + 2) + 1) and g(x) = -1|x + 3| + 3 between the vertical lines x = -2.8 and x = -1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (1(-3cos(2πx + 2) - 2) + 1)/(-2(-3cos(2πx + 2) - 2) - 3) and g(x) = -2|x - 1| - 2 from x = 1.0 to x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1((-3x + 2)/(1x - 3)) - 2)/(-1((-3x + 2)/(1x - 3)) - 2), g(x) = 3|x| - 2, x = -1.0, and x = 1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(2x^2 + 5x + 4) - 3| + 1 and g(x) = 5x^2 + 5x between the vertical lines x = -0.4 and x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(-2cos(2πx + 3) - 2)^2 + 5(-2cos(2πx + 3) - 2) + 1 and g(x) = 1x + 1 from x = -4.1 to x = -3.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2sin(3π(-1x + 4) + 1) - 2 and g(x) = (2x - 3)/(1x - 3) from x = 1.8 to x = 2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2sin(2π(2x^2 - 3x - 2) - 3) + 2 and g(x) = 2x - 2 between the vertical lines x = 2.9 and x = 3.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -5(-2sin(3πx - 3) - 1) - 2 and g(x) = -3x^2 + 1x - 2 from x = 0.0 to x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2sin(2π(4x^2 - 2x + 4)) + 2 and g(x) = (-2x + 2)/(2x - 1) between the vertical lines x = 1.0 and x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(2π(-4x - 3) - 3) - 2 and g(x) = -3x - 1 between the vertical lines x = 0.7 and x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2(-2sin(1πx + 1) - 3)^2 + 2(-2sin(1πx + 1) - 3) - 4, g(x) = -2x - 5, x = -1.0, and x = -0.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-3sin(3πx - 3) - 2) + 3)/(-1(-3sin(3πx - 3) - 2) - 2) and g(x) = 2x^2 - 2x + 5 from x = -4.3 to x = -4.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1cos(2π(3|x + 2| + 1) + 1) - 2 and g(x) = 1|x + 1| - 3 between the vertical lines x = -2.6 and x = -2.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(1π(1|x + 3| + 3) + 3) + 2 and g(x) = 1|x - 1| - 3 between the vertical lines x = -4.5 and x = -3.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((-2x - 3)/(2x + 2)) - 3| - 2, g(x) = -3x + 5, x = -0.9, and x = 0.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(2|x - 2|)| - 1, g(x) = 1x^2 - 3x + 3, x = -2.6, and x = 1.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(-2x^2 + 1x - 3) + 1)/(2(-2x^2 + 1x - 3)), g(x) = 4x^2 + 1x - 5, x = -1.1, and x = 0.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3cos(1π((2x)/(1x + 3)) - 2) and g(x) = (-1x + 3)/(2x - 1) from x = -2.8 to x = -2.6999999999999997. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-2x^2 - 3x - 2) + 3)/(-3(-2x^2 - 3x - 2) - 1) and g(x) = 1|x - 3| from x = 2.6 to x = 3.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(-3cos(3πx - 2) - 2))/(-3(-3cos(3πx - 2) - 2) + 1) and g(x) = -2|x - 1| + 1 from x = 2.0 to x = 2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(-1cos(1πx - 1) - 3) - 3 and g(x) = 2|x| - 2 between the vertical lines x = -4.2 and x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(3|x + 3| + 3) + 2) - 3 and g(x) = 4x^2 - 4x - 3 between the vertical lines x = 0.8 and x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1sin(1π(-4x - 5) - 3) + 2 and g(x) = 1x between the vertical lines x = 2.6 and x = 2.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1sin(3π(-2x^2 - 1x - 3) - 2) + 2, g(x) = 2|x - 3| - 3, x = 0.4, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2sin(1π(2x) + 1) + 3, g(x) = -4x + 5, x = 0.3, and x = 0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(2cos(3πx + 1) + 2) + 1)/(-1(2cos(3πx + 1) + 2) + 2) and g(x) = 2x from x = 0.2 to x = 0.30000000000000004. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1((-3x + 3)/(-2x + 3))^2 + 5((-3x + 3)/(-2x + 3)) - 3, g(x) = -1x^2 + 1x + 5, x = -0.6, and x = 1.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2sin(2π(-3|x|) - 1) - 2, g(x) = (2x - 2)/(-1x + 3), x = -2.1, and x = -2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(2cos(1πx) + 2) and g(x) = -3|x + 1| + 2 between the vertical lines x = 0.7 and x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 5(-2x^2 - 3x) + 4, g(x) = 2|x - 1| + 1, x = -1.4, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(-5x) - 3)/(-1(-5x) + 2), g(x) = (-3x + 1)/(2x + 1), x = -0.4, and x = 2.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|(2cos(1πx - 1) - 1) + 2| - 1, g(x) = -5x + 5, x = 2.0, and x = 2.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(-3x + 2)| + 1, g(x) = 4x + 2, x = 0.3, and x = 2.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2cos(1π(-4x - 3) + 1) - 2, g(x) = -4x^2, x = -0.4, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(-2sin(1πx + 3) + 3) - 2, g(x) = -3|x - 2| + 2, x = -0.1, and x = 4.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(3x - 1) + 2)/(2(3x - 1) + 2), g(x) = (1x - 3)/(-3x - 2), x = -1.9, and x = 0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(-3e^(-1x) + 1) + 1 and g(x) = (-2x + 1)/(-3x + 2) from x = 0.8 to x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(-5x + 2) + 2)/(2(-5x + 2) + 1), g(x) = -2x - 3, x = -1.8, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1cos(1πx - 3) - 1) + 5 and g(x) = 1|x + 3| - 1 between the vertical lines x = 3.7 and x = 4.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1cos(1π((-3x - 1)/(-2x - 1)) + 2) + 2 and g(x) = (-1x - 3)/(-3x - 3) from x = -0.5 to x = -0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(-3|x|)^2 + 1(-3|x|) - 3 and g(x) = (1x - 3)/(2x - 3) between the vertical lines x = 0.6 and x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(-1e^(1x) - 1) + 1| - 2 and g(x) = (2x + 1)/(1x) between the vertical lines x = -0.5 and x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(4x))/(2(4x) + 3), g(x) = -2|x - 2| + 2, x = 1.4, and x = 2.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(3x^2 + 5x - 4) - 5 and g(x) = (-3x - 1)/(-3x - 2) between the vertical lines x = -1.8 and x = -0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-2sin(2πx - 1) + 2) - 5 and g(x) = (-1x)/(-1x - 2) from x = -1.2 to x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4(2|x + 1| - 2)^2 + 2(2|x + 1| - 2) - 5 and g(x) = -1x + 3 from x = -0.9 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|(-3e^(-2x) + 2) - 1| + 3 and g(x) = (1x)/(-3x + 1) from x = 0.1 to x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|(-1cos(3πx) - 3) - 1| + 2 and g(x) = 5x + 3 from x = 1.0 to x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|(-1x^2 + 1x + 3)| - 3 and g(x) = -4x^2 - 1x + 5 from x = -1.4 to x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3((-2x - 3)/(-3x - 2)) + 1)/(-2((-2x - 3)/(-3x - 2)) + 3) and g(x) = 2x + 5 between the vertical lines x = -2.5 and x = -0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((-3x + 3)/(2x - 1))| - 3 and g(x) = (-2x - 2)/(-2x - 1) between the vertical lines x = -0.8 and x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3((-1x - 3)/(1x + 3)) - 3)/(1((-1x - 3)/(1x + 3)) + 2), g(x) = 4x^2 + 3x - 5, x = -1.6, and x = 0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(1x^2 - 1x + 2) + 3)/(-1(1x^2 - 1x + 2) - 1) and g(x) = -1x^2 + 2x + 3 from x = -1.5 to x = 3.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(-3cos(3πx) - 1) - 1| + 1 and g(x) = -1x + 5 from x = 1.8 to x = 2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 4(-1x - 1) + 1, g(x) = (3x + 1)/(3x - 2), x = -0.8, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(-2x + 2) + 1)/(-2(-2x + 2) - 3), g(x) = (2x - 2)/(-2x + 1), x = 1.2, and x = 2.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (2(-2x^2 + 1x + 2) - 1)/(1(-2x^2 + 1x + 2)) and g(x) = -3x^2 - 1x + 4 from x = 0.8 to x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|(-3sin(3πx + 1) - 1) - 3| - 3, g(x) = -2x^2 - 5x + 5, x = 1.9, and x = 2.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(1sin(3πx - 1) - 1)^2 - 2(1sin(3πx - 1) - 1) - 2 and g(x) = (1x + 1)/(1x + 3) between the vertical lines x = -1.2 and x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(3x + 4) - 2)/(-3(3x + 4) + 1) and g(x) = (3x)/(-3x - 3) from x = -1.3 to x = -0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2((2x - 3)/(2x + 1)) + 2)/(2((2x - 3)/(2x + 1)) - 3) and g(x) = -5x^2 + 1x + 4 from x = -0.9 to x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1e^(-2(-5x + 1)) + 3 and g(x) = -4x - 3 between the vertical lines x = -1.5 and x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (1(3sin(1πx + 3) - 1) + 3)/(-3(3sin(1πx + 3) - 1) + 1) and g(x) = 1x^2 - 3x - 3 from x = -4.8 to x = -4.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π(-4x + 1) - 1) and g(x) = (2x + 3)/(2x + 1) between the vertical lines x = 3.7 and x = 3.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2((3x - 1)/(1x)) + 1)/(3((3x - 1)/(1x))) and g(x) = (3x - 3)/(-2x - 3) from x = 0.4 to x = 2.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(2e^(1x) - 3) - 2 and g(x) = -2|x| + 3 from x = -4.0 to x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-5x^2 + 2)^2 + 5(-5x^2 + 2) + 1 and g(x) = 4x - 1 between the vertical lines x = -0.8 and x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(-2cos(3πx + 3) + 1)^2 + 3(-2cos(3πx + 3) + 1) - 4 and g(x) = (3x)/(-1x + 2) between the vertical lines x = -0.2 and x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3((-2x - 2)/(-1x))^2 + 1((-2x - 2)/(-1x)) + 3, g(x) = -2x - 5, x = -2.5, and x = -0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(3cos(1πx - 2)) + 2)/(-2(3cos(1πx - 2)) - 3) and g(x) = 3|x + 1| + 1 from x = -0.2 to x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(1sin(2πx + 1) - 1) + 3| + 1, g(x) = 3|x - 3| - 1, x = 0.9, and x = 1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|((-3x - 2)/(-2x + 1)) - 3| - 1, g(x) = (2x + 3)/(-1x), x = 1.0, and x = 3.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3sin(1π(-3|x - 3| + 2) + 1), g(x) = -4x + 5, x = 0.8, and x = 1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3cos(2π(-3|x + 2| - 1) + 2) + 2, g(x) = 2|x - 1| - 3, x = -2.5, and x = -2.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(1cos(3πx - 3) + 3) + 1| - 2 and g(x) = (1x - 2)/(2x + 3) from x = -4.6 to x = -4.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π(-5x^2 + 4x - 4)) - 2 and g(x) = -4x - 1 between the vertical lines x = -0.0 and x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(2|x|) + 2)/(2(2|x|) + 2) and g(x) = -2x^2 + 2x + 5 from x = -1.2 to x = 2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3cos(2π(-1x^2 - 5x - 5)) - 2 and g(x) = (2x + 3)/(2x + 3) from x = 1.1 to x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3|(2cos(2πx + 3) + 1) - 2| - 2 and g(x) = -3x^2 - 1x + 1 from x = -0.7 to x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1sin(2π(1x + 3) + 3) + 2 and g(x) = 2x^2 + 4x + 3 between the vertical lines x = -1.3 and x = -1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-3cos(3πx + 3) + 2)^2 - 1(-3cos(3πx + 3) + 2) + 4 and g(x) = 2x^2 + 4x - 2 between the vertical lines x = 4.1 and x = 4.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3(3|x + 2|), g(x) = (1x + 2)/(-2x - 3), x = -2.0, and x = -1.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(2π(-4x^2 - 5x - 2) - 2) - 3 and g(x) = -1x^2 + 3x + 3 between the vertical lines x = 4.5 and x = 4.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-3cos(2πx + 3))^2 - 4(-3cos(2πx + 3)) + 3 and g(x) = -2x - 3 between the vertical lines x = -3.2 and x = -2.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3|(-1cos(1πx + 3) - 3) + 1| + 2 and g(x) = -1x + 1 from x = 2.0 to x = 2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1|(-4x + 3) + 3|, g(x) = -1x + 1, x = 1.4, and x = 1.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|((-2x + 2)/(-3x + 4)) - 1| + 1 and g(x) = -1x^2 - 4x - 1 from x = -0.3 to x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π(4x - 4) - 1) - 1 and g(x) = 3x + 4 between the vertical lines x = -1.1 and x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(-4x + 1) + 3| - 1 and g(x) = -4x^2 + 5x between the vertical lines x = 0.8 and x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3sin(2π(-3|x - 1| - 3) - 3), g(x) = 1x^2 + 3x - 4, x = -3.7, and x = -3.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-2sin(1πx + 2) + 1) + 3)/(-3(-2sin(1πx + 2) + 1) + 2) and g(x) = 2x^2 - 2x - 3 between the vertical lines x = -2.6 and x = -1.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-2e^(2x) - 1) + 2| and g(x) = 1|x + 1| - 1 between the vertical lines x = -1.2 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-1e^(2x))^2 - 4(-1e^(2x)) + 1 and g(x) = -1x - 3 between the vertical lines x = -4.0 and x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3|(-2cos(1πx + 3) + 3) - 2|, g(x) = -2|x| - 3, x = -0.4, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|(2|x + 2|) - 2| + 3 and g(x) = 2x^2 + 1x - 1 from x = -1.4 to x = 0.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2cos(1π((-3x + 3)/(-2x + 3)) + 1) + 1 and g(x) = -4x^2 - 1x between the vertical lines x = -0.1 and x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -5(1e^(-2x) - 2) and g(x) = 4x from x = -0.4 to x = 2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2sin(2π(-1x^2 + 1x - 1) + 1) - 2, g(x) = 5x + 4, x = -1.2, and x = -1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1(4x^2 - 2x - 2) - 3)/(3(4x^2 - 2x - 2) - 1), g(x) = -1|x - 1| - 1, x = -0.6, and x = 1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|(-4x^2 - 4x + 4) + 2|, g(x) = -2x^2 + 2x + 1, x = -2.4, and x = -1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 5(2sin(2πx + 1) - 2) - 5, g(x) = -2x + 1, x = 4.0, and x = 4.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(3π(-1x + 2)) - 2 and g(x) = -5x^2 - 4x - 2 between the vertical lines x = -0.6 and x = -0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(-2cos(3πx + 3) + 3) + 1| - 1 and g(x) = -5x - 2 from x = -1.2 to x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (3((2x + 1)/(2x + 2)) - 2)/(-3((2x + 1)/(2x + 2)) + 1), g(x) = (1x - 2)/(3x - 2), x = 0.0, and x = 1.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1sin(2π((-1x + 1)/(1x - 3)) - 1) + 1 and g(x) = 3|x + 2| - 3 from x = -3.0 to x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π(5x^2 - 4x + 3)) - 3 and g(x) = 5x + 3 between the vertical lines x = -1.5 and x = -1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(2π(-3|x - 2| - 1) - 1) + 2 and g(x) = -4x between the vertical lines x = -0.4 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(3cos(1πx + 3) + 1)^2 - 5(3cos(1πx + 3) + 1) + 3, g(x) = (2x)/(-3x), x = -1.5, and x = -0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1cos(3π(-3|x - 3|) - 3) + 1 and g(x) = -1x + 5 between the vertical lines x = 3.8 and x = 4.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3(1sin(3πx - 1) + 2)^2 + 3(1sin(3πx - 1) + 2) + 4 and g(x) = 1|x + 2| - 3 from x = -2.6 to x = -2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-1(-2cos(1πx - 1) + 3) - 3)/(-2(-2cos(1πx - 1) + 3) + 3), g(x) = -1x + 5, x = 1.9, and x = 2.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -5((3x - 1)/(3x + 3))^2 - 3((3x - 1)/(3x + 3)) + 1 and g(x) = (2x + 2)/(-1x - 1) from x = -0.4 to x = 1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(-3e^(-1x) + 3)^2 - 2(-3e^(-1x) + 3) - 2, g(x) = -2|x - 3| + 3, x = -0.7, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-4x + 1) + 2| + 3 and g(x) = 3|x + 3| - 3 between the vertical lines x = 0.3 and x = 1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|(3x^2 - 1x - 2)| + 1 and g(x) = -1|x - 3| - 3 from x = -1.3 to x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2sin(1π((-2x + 1)/(1x + 1)) - 2) and g(x) = 1x^2 + 1x - 4 from x = -2.9 to x = -2.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -4(2cos(3πx - 3) + 1) - 4, g(x) = 1x^2 - 5x - 5, x = 1.1, and x = 1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|(-2cos(1πx) - 2)| - 3 and g(x) = (2x - 2)/(-3x - 2) from x = -0.4 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2e^(-2(3x^2 - 1x - 1)) - 3, g(x) = (-1x + 1)/(-3x + 4), x = 0.7, and x = 1.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(5x^2 + 4x - 2) + 1| + 1 and g(x) = -1x - 5 between the vertical lines x = -1.3 and x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(1π(-4x - 3) - 1) + 3 and g(x) = 3|x| between the vertical lines x = 0.2 and x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2cos(2π(3x + 2) + 2) - 3 and g(x) = 1x - 5 from x = 3.4 to x = 3.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4(5x^2 - 4x - 3)^2 + 4(5x^2 - 4x - 3) + 1 and g(x) = -3|x - 1| + 3 from x = 1.1 to x = 1.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π(1|x| + 3) + 3) + 2 and g(x) = (3x - 2)/(3x + 1) between the vertical lines x = -1.7 and x = -1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1((1x + 2)/(-1x - 3)) + 2)/(1((1x + 2)/(-1x - 3)) - 3) and g(x) = -3|x| between the vertical lines x = -2.8 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(3e^(1x) + 2) + 1)/(-2(3e^(1x) + 2) - 1) and g(x) = 3x^2 - 4x + 2 from x = 0.4 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(2π(-4x - 3) + 2) - 2, g(x) = 1x^2 - 4x + 2, x = 2.1, and x = 2.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3|(-2x^2 - 3x + 5) + 3| + 1, g(x) = (-3x)/(-3x - 2), x = 1.4, and x = 1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3((-1x + 1)/(-3x + 2))^2 + 4((-1x + 1)/(-3x + 2)) and g(x) = -2|x - 3| between the vertical lines x = 0.6 and x = 0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(5x^2 + 3x - 3) + 3| - 3 and g(x) = 5x - 4 between the vertical lines x = -1.2 and x = 0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3cos(3π(3x^2 - 2x - 4) - 2) + 1, g(x) = 1x - 5, x = 3.9, and x = 4.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(2sin(3πx - 1) - 3) - 4 and g(x) = -1|x - 2| - 3 between the vertical lines x = -1.0 and x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π(-1|x - 1|) + 1) + 1 and g(x) = -2x^2 + 1x + 4 between the vertical lines x = 1.4 and x = 1.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(5x - 3)^2 + 4(5x - 3) and g(x) = (2x - 3)/(-1x - 1) between the vertical lines x = 0.6 and x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-1|x - 1| + 3) - 2)/(-3(-1|x - 1| + 3) + 1) and g(x) = -1x + 1 between the vertical lines x = -1.5 and x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(1sin(3πx - 2)) + 5 and g(x) = (2x + 1)/(-3x) between the vertical lines x = -0.3 and x = -0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(-5x + 5) - 2)/(-1(-5x + 5) + 2), g(x) = 1x - 1, x = 1.2, and x = 3.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3(2|x - 2| - 1) + 3, g(x) = 2x^2 - 3x, x = 0.8, and x = 2.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1cos(3π((3x + 2)/(-2x - 1)) + 3) + 2 and g(x) = -4x - 2 between the vertical lines x = -1.1 and x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(2π(1|x + 3| - 1) - 3) - 1, g(x) = -2x^2 - 4x - 2, x = -1.0, and x = -0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(1x + 2) - 3| + 1, g(x) = -2x^2 + 1x + 2, x = 0.5, and x = 1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3cos(3π(2|x - 1| + 1) + 1) + 1 and g(x) = 3x^2 - 5x + 4 from x = 0.3 to x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-2cos(1πx + 3) + 1) + 3 and g(x) = 1x^2 - 3x - 3 between the vertical lines x = -1.2 and x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((-3x - 1)/(3x + 3)) - 1|, g(x) = 1|x| - 1, x = -3.3, and x = 2.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5(-2cos(3πx - 2) + 2)^2 + 1(-2cos(3πx - 2) + 2) + 3 and g(x) = 5x - 4 from x = 2.8 to x = 3.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2|(2|x| - 2) + 3| - 2 and g(x) = (3x + 1)/(2x + 2) from x = -1.3 to x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(-4x + 3) + 3)/(3(-4x + 3) - 2), g(x) = -3x - 2, x = -0.5, and x = 0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2((-1x - 2)/(2x + 1))^2 - 5 and g(x) = 3|x| between the vertical lines x = -0.8 and x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2(3|x + 2| - 1) + 2 and g(x) = -1x from x = -2.4 to x = -1.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2e^(1(2|x| - 3)) - 2 and g(x) = -1|x + 2| between the vertical lines x = -1.3 and x = -0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1|(-2sin(1πx - 2) + 1) - 1| - 2 and g(x) = -2|x + 3| + 2 from x = -2.0 to x = -1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(-2e^(2x) + 1) - 2)/(-2(-2e^(2x) + 1) - 1) and g(x) = -2x + 4 from x = -0.2 to x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(-3cos(1πx + 1) - 2) - 2)/(-3(-3cos(1πx + 1) - 2) - 1) and g(x) = 5x^2 + 4x + 2 from x = 2.4 to x = 3.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|(2sin(2πx - 2) + 1) - 1| - 2, g(x) = -3x^2 - 5x + 5, x = -2.4, and x = 0.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2sin(2π(3|x - 2| + 1) + 2) - 3 and g(x) = -1x - 2 from x = 1.4 to x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2sin(1π(-3|x - 1|) + 2) + 1, g(x) = -4x + 4, x = 0.5, and x = 0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 4(-5x - 4)^2 + 5(-5x - 4) - 4, g(x) = -4x^2 + 1x + 1, x = -0.8, and x = -0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1sin(3π(4x - 5) - 1) + 2 and g(x) = -2x - 2 between the vertical lines x = -1.7 and x = -1.5999999999999999. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(1cos(3πx + 3) - 1) + 1, g(x) = -2x - 1, x = -0.9, and x = -0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-2cos(1πx - 3) + 1) - 4 and g(x) = -5x^2 - 2x - 5 between the vertical lines x = -0.6 and x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(1sin(1πx) - 2) + 3 and g(x) = 3x^2 - 5x + 3 between the vertical lines x = 0.3 and x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3|(2x^2 - 1x - 2)| - 2, g(x) = (2x - 2)/(-3x - 3), x = 1.1, and x = 1.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3((2x + 2)/(1x)) - 2)/(-3((2x + 2)/(1x)) + 1) and g(x) = (-1x - 2)/(2x + 3) between the vertical lines x = -1.6 and x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3((-1x - 1)/(2x + 1)) + 3)/(-3((-1x - 1)/(2x + 1)) + 4) and g(x) = -5x + 2 between the vertical lines x = -0.6 and x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(-1x^2 + 5x - 4)^2 - 5(-1x^2 + 5x - 4) - 1 and g(x) = (3x + 1)/(-1x + 2) from x = 2.5 to x = 3.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 4(-1sin(1πx)) - 1 and g(x) = -2x - 3 from x = -1.0 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2|(1sin(3πx - 3) + 1) + 3| + 2, g(x) = -3x^2 + 1x + 5, x = -1.7, and x = 2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(3π(3x + 2) + 3) - 2 and g(x) = (-3x)/(-3x + 4) between the vertical lines x = -3.9 and x = -3.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3(-1cos(2πx + 2) - 3) - 2 and g(x) = 1|x + 3| - 1 from x = 4.0 to x = 4.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1e^(-1(-3x + 3)) + 1 and g(x) = 3x + 3 from x = -0.7 to x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(5x^2 + 5x - 5)^2 - 5(5x^2 + 5x - 5) + 4, g(x) = -2x - 4, x = -0.7, and x = -0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(-1cos(1πx + 3)) + 5 and g(x) = -2|x + 1| + 2 between the vertical lines x = -1.2 and x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1cos(3π(5x^2 + 1x - 1) - 2) - 3 and g(x) = -1x^2 + 3x + 1 between the vertical lines x = 4.1 and x = 4.199999999999999. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(1π(4x^2 - 4x - 4) - 2) + 3, g(x) = 4x^2 - 2x, x = -0.6, and x = 1.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1cos(3π(4x - 4) - 3) + 3 and g(x) = -1x - 1 between the vertical lines x = -4.9 and x = -4.800000000000001. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(1sin(1πx) + 2) - 1 and g(x) = (1x + 2)/(1x + 1) between the vertical lines x = -2.3 and x = 0.3. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 5(4x^2 - 1x) - 5, g(x) = (-3x + 1)/(-2x + 3), x = -0.4, and x = 0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(1x)^2 + 1(1x) + 5 and g(x) = -3|x - 1| + 1 from x = -2.4 to x = 2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(2|x + 3| - 3) + 1)/(2(2|x + 3| - 3) + 2) and g(x) = -3x^2 - 1x + 3 from x = -1.2 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3(2sin(3πx + 3) - 1) + 4, g(x) = 1x + 2, x = -0.3, and x = -0.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1((-1x - 2)/(-3x + 4))^2 + 1 and g(x) = (2x - 1)/(1x - 3) from x = 0.5 to x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3|(1cos(3πx - 1) - 2) + 3| + 2, g(x) = -3x^2 - 3x - 4, x = -0.6, and x = -0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(-2|x + 3| - 3) + 2) - 3 and g(x) = (-1x + 3)/(1x + 3) between the vertical lines x = -4.7 and x = -4.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(-3|x - 3| + 1)^2 - 4(-3|x - 3| + 1) + 2, g(x) = 2|x - 1| - 2, x = 2.3, and x = 2.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1sin(1π(-2x + 3) + 2) + 3 and g(x) = -1x + 1 between the vertical lines x = -2.2 and x = -1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1cos(2π(-5x^2 - 2x + 3) + 2) - 2, g(x) = 1|x - 2| - 3, x = 3.6, and x = 3.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3cos(1π(-1x - 1) + 3) + 3 and g(x) = 3x^2 - 4x + 1 from x = 0.1 to x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(1x^2 - 3) - 1, g(x) = (2x - 1)/(-1x - 1), x = -0.2, and x = 1.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-2x^2 + 3x + 5)^2 + 4(-2x^2 + 3x + 5) + 2 and g(x) = 3x - 2 between the vertical lines x = -1.2 and x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1sin(2π(5x + 5) - 3), g(x) = (1x - 2)/(-2x + 1), x = 3.6, and x = 3.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3sin(1π(-4x - 5) - 3) - 2 and g(x) = (-2x - 3)/(-3x - 3) from x = 4.8 to x = 4.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1cos(1π((-1x)/(3x - 2)) + 2) - 2 and g(x) = -1|x - 2| - 2 between the vertical lines x = 1.1 and x = 2.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3sin(2π(-2|x - 2| + 3) + 3) + 3 and g(x) = (-2x - 3)/(-1x + 3) from x = -3.7 to x = -3.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2|(1|x - 3| + 1) - 1| + 1 and g(x) = -1x^2 + 1x + 1 from x = -3.0 to x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-2cos(2πx + 1))^2 + 3(-2cos(2πx + 1)) - 2 and g(x) = 3x + 3 between the vertical lines x = -2.8 and x = -2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(3cos(3πx - 3) - 1)^2 + 4, g(x) = -3x, x = 3.6, and x = 3.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3cos(1π(-1|x + 3| + 1) + 3) + 1 and g(x) = -2|x + 3| + 3 from x = -3.3 to x = -2.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2(-4x^2 + 2x + 2) - 1 and g(x) = 2|x - 2| - 2 from x = -0.1 to x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (1(-4x - 4) + 2)/(3(-4x - 4) + 3), g(x) = -1x - 4, x = -4.4, and x = -0.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1x^2 - 1) - 3)/(3(-1x^2 - 1) + 1), g(x) = 2|x + 1| - 1, x = -1.3, and x = -0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (3(3x^2 - 3x - 5) + 1)/(-2(3x^2 - 3x - 5) - 2), g(x) = (-2x + 2)/(1x - 3), x = -4.8, and x = -1.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(-2|x - 2| - 1) - 2 and g(x) = -2|x| - 3 between the vertical lines x = 1.5 and x = 3.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(2cos(1πx - 3))^2 + 5(2cos(1πx - 3)) - 4 and g(x) = 3x^2 - 1 between the vertical lines x = -1.0 and x = -0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 5((-2x - 1)/(3x + 1))^2 + 4((-2x - 1)/(3x + 1)) + 1 and g(x) = 2|x + 2| - 3 from x = -3.7 to x = 0.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2(1e^(2x) + 3) and g(x) = 1x^2 + 3x - 5 from x = -2.6 to x = -0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(1x + 2) - 1| + 1 and g(x) = -1x^2 - 1x + 3 between the vertical lines x = -3.0 and x = 2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-2(1x - 3) + 1)/(-2(1x - 3) + 3) and g(x) = 4x - 5 from x = 1.4 to x = 4.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(2sin(3πx - 1) + 2) + 2)/(1(2sin(3πx - 1) + 2) - 3) and g(x) = -4x^2 - 4x - 4 between the vertical lines x = 2.4 and x = 2.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(-4x^2 - 4) - 3 and g(x) = (3x + 2)/(2x + 2) from x = 0.0 to x = 0.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2|(1sin(3πx - 3) - 1) - 2| + 1, g(x) = 5x^2 - 5x - 2, x = -0.8, and x = 1.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1sin(3π(1x^2 - 5x + 3) + 3) - 1 and g(x) = -4x^2 + 3x - 1 between the vertical lines x = 0.4 and x = 0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(1sin(3πx - 2) + 1) - 1)/(3(1sin(3πx - 2) + 1) + 3) and g(x) = 1x^2 - 3x - 5 from x = -1.1 to x = 4.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1sin(3π(1x + 2) - 3) + 2 and g(x) = 1x + 4 between the vertical lines x = -1.6 and x = -1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(2sin(2πx) - 1) + 3)/(2(2sin(2πx) - 1) - 1) and g(x) = 3x^2 - 1x + 5 between the vertical lines x = -2.9 and x = -2.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 5(-2x - 3)^2 - 5, g(x) = -1|x| - 1, x = -1.8, and x = -1.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π((-1x - 1)/(3x - 2)) + 2) + 3 and g(x) = 1|x + 3| + 2 between the vertical lines x = 0.8 and x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -5(-2cos(3πx + 1) - 2) + 2, g(x) = -4x, x = -4.2, and x = -4.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2cos(2π(-5x) + 1) + 3, g(x) = -4x^2 + 3x + 1, x = 0.4, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1(3x^2 - 1x)^2 - 5(3x^2 - 1x) + 5, g(x) = (1x - 2)/(-2x + 3), x = 0.8, and x = 1.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1sin(3π(1|x + 2| + 1) - 2) + 2, g(x) = (-2x + 2)/(-2x - 3), x = -4.2, and x = -3.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(2π((-2x + 3)/(-2x - 2))) - 1, g(x) = (2x - 3)/(-2x - 1), x = -2.1, and x = -2.0. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3sin(2π(-1x^2 - 2x + 3) - 3) + 1, g(x) = (-1x - 2)/(1x - 3), x = -4.2, and x = -4.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((3x + 3)/(3x - 1))^2 + 5((3x + 3)/(3x - 1)) - 5 and g(x) = 1x^2 + 1x - 2 between the vertical lines x = 0.8 and x = 1.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(2π(-2|x + 3| - 1) - 2) + 3 and g(x) = 5x^2 - 3x between the vertical lines x = 0.9 and x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(5x - 3)^2 + 5(5x - 3) + 3 and g(x) = 1|x - 2| between the vertical lines x = 0.6 and x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(3π((-1x - 2)/(3x - 2)) - 2) - 3 and g(x) = 1x^2 + 1x - 5 between the vertical lines x = 0.6 and x = 0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1|((3x)/(3x + 2))| - 1, g(x) = 1|x - 2| + 3, x = -0.8, and x = -0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1((1x + 1)/(1x)) + 4 and g(x) = 3|x + 3| from x = -4.6 to x = -1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2cos(2π(1x + 4) + 3) - 1, g(x) = 1x - 1, x = -0.2, and x = 0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 3sin(3π((1x - 2)/(-2x - 1)) + 1) - 3 and g(x) = -3x + 1 from x = 0.5 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (2(2|x - 3| - 3) - 2)/(2(2|x - 3| - 3) + 3), g(x) = -2x^2 - 4x + 5, x = -2.8, and x = 0.9. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-1(-2cos(1πx - 3) - 3) + 2)/(1(-2cos(1πx - 3) - 3)) and g(x) = (1x - 1)/(-1x - 2) from x = -4.3 to x = -3.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3e^(2(5x + 5)) and g(x) = (2x + 3)/(-2x - 2) from x = -1.5 to x = -0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 1(4x + 1)^2 + 5(4x + 1), g(x) = -2x - 2, x = -1.6, and x = -0.3. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2cos(3π((2x + 3)/(-3x + 4)) - 1) + 3, g(x) = 3|x| + 1, x = 0.3, and x = 0.5. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(5x + 3) + 3| - 3 and g(x) = -3x^2 + 2x + 5 between the vertical lines x = -1.3 and x = -0.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-2sin(2πx) + 2)^2 - 4(-2sin(2πx) + 2) + 1 and g(x) = 1|x + 1| - 2 between the vertical lines x = 0.4 and x = 1.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3(1e^(-1x) - 2)^2 - 3(1e^(-1x) - 2) - 3, g(x) = -2x^2 + 4x - 2, x = -1.1, and x = -0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -2(2x^2 - 2x)^2 - 3(2x^2 - 2x) - 2, g(x) = 1x - 4, x = -0.2, and x = 1.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -3(3|x - 1| + 3) - 2, g(x) = -3|x + 3| - 3, x = 0.7, and x = 1.7. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(3π(-1|x - 2| + 3) - 2) + 1 and g(x) = 2|x + 3| + 3 between the vertical lines x = -3.4 and x = -2.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = (-3(5x^2 + 2x - 2) + 3)/(2(5x^2 + 2x - 2) - 3) and g(x) = (-1x)/(2x + 3) from x = -1.0 to x = 0.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1sin(1π((1x - 2)/(3x + 1)) + 2) + 1 and g(x) = (-2x - 3)/(2x - 3) from x = -0.4 to x = -0.30000000000000004. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 2cos(2π(3x - 1) - 2) + 1 and g(x) = 2|x + 1| from x = -2.0 to x = -1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-3|x - 1| + 3) and g(x) = 1x^2 - 1x - 5 between the vertical lines x = -0.3 and x = 2.2. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π(-3x^2 - 1x - 4) - 2) + 3 and g(x) = 4x^2 + 1x + 2 between the vertical lines x = 0.2 and x = 0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1sin(1π(-4x^2 + 4x - 4) + 3) - 1 and g(x) = (3x)/(-1x - 1) from x = 1.9 to x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1(-3|x| - 2) - 2 and g(x) = -2x - 5 from x = -0.2 to x = 1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(1π((-3x + 2)/(-1x + 2)) - 1) - 1 and g(x) = (-2x + 1)/(-2x) between the vertical lines x = 1.9 and x = 2.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-2cos(1πx + 3) - 1) - 1)/(1(-2cos(1πx + 3) - 1) + 1) and g(x) = (1x)/(-1x - 1) between the vertical lines x = 0.2 and x = 1.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -1(3sin(1πx) - 1)^2 + 3(3sin(1πx) - 1) and g(x) = (-1x + 2)/(2x + 3) from x = 2.9 to x = 4.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(4x^2 - 3x - 3) - 2 and g(x) = -5x - 1 between the vertical lines x = -0.5 and x = 1.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1sin(2π((-2x + 2)/(3x)) + 3) - 1, g(x) = (-2x - 1)/(1x), x = -0.8, and x = -0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3cos(1π(5x^2 - 3x - 5) - 2) - 1, g(x) = -1x^2 - 3x - 1, x = -2.2, and x = -2.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 4(-2sin(3πx) + 2)^2 + 1(-2sin(3πx) + 2) + 3, g(x) = (3x + 3)/(1x + 3), x = -4.6, and x = -4.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2sin(1π((-2x - 2)/(-1x)) + 2) + 2, g(x) = 5x^2 + 1x + 2, x = -0.0, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3|((-2x + 3)/(1x + 3)) + 1| - 2, g(x) = -3x^2 - 1x + 5, x = -0.3, and x = 0.8. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 3sin(2π((-2x + 2)/(1x + 1)) + 3), g(x) = (-2x - 3)/(-2x - 1), x = -1.4, and x = -1.2999999999999998. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3cos(2π(2x + 1) + 2) + 1 and g(x) = (2x + 3)/(-3x + 4) between the vertical lines x = 4.1 and x = 4.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(3|x + 1|) + 4 and g(x) = (-1x - 3)/(1x + 2) between the vertical lines x = -1.8 and x = -1.7. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2(5x - 2)^2 + 4(5x - 2) - 4, g(x) = -4x - 3, x = -0.0, and x = 0.4. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -3cos(3π((3x + 3)/(1x + 2)) - 2) + 1 and g(x) = -1x^2 + 4x + 4 from x = -0.7 to x = -0.4. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(4x^2 - 4) - 4 and g(x) = -2|x + 2| between the vertical lines x = -1.1 and x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2(-2x + 3) - 3, g(x) = (-3x - 1)/(3x - 1), x = 0.1, and x = 1.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = -1cos(3π(1|x - 2| + 3) + 2), g(x) = -2x^2 - 5x + 3, x = -3.0, and x = 0.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 2(-1sin(2πx - 2))^2 + 2(-1sin(2πx - 2)), g(x) = -3x^2 + 4, x = -0.8, and x = 0.1. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(-3sin(1πx - 1) + 3))/(-2(-3sin(1πx - 1) + 3) - 3) and g(x) = (1x - 1)/(-1x + 3) between the vertical lines x = 0.7 and x = 0.9. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(-5x^2 + 1x + 1) and g(x) = 4x + 3 between the vertical lines x = -0.4 and x = 0.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(-2x - 2)^2 - 2(-2x - 2) + 5 and g(x) = -5x^2 - 1x + 4 between the vertical lines x = -1.9 and x = -0.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(-2|x - 3| - 2) + 3) - 3 and g(x) = (2x - 1)/(1x + 2) between the vertical lines x = -1.3 and x = -1.0. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2sin(1π((2x)/(3x - 2)) - 2) - 2 and g(x) = -1|x - 2| - 3 from x = 1.3 to x = 2.5. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = 4(-2cos(2πx + 1) + 1)^2 + 4(-2cos(2πx + 1) + 1) - 1, g(x) = (2x - 2)/(1x + 2), x = -0.3, and x = -0.2. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = -2sin(3π(1x + 1) + 2) + 2 and g(x) = -5x - 5 from x = -1.5 to x = -1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Calculate the area enclosed between the functions f(x) = 1e^(1(1|x + 1| - 2)) - 2 and g(x) = -5x^2 + 5 from x = -1.2 to x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(2sin(1πx + 3))^2 - 2(2sin(1πx + 3)) - 2 and g(x) = 3|x - 1| - 2 between the vertical lines x = 2.2 and x = 2.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3e^(2(-3|x - 2| + 1)) + 2 and g(x) = -1x^2 + 2x + 4 between the vertical lines x = -0.7 and x = 1.6. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the area of the region bounded by the curves f(x) = (-3(3|x - 1| - 2) + 2)/(1(3|x - 1| - 2) + 1), g(x) = 3|x - 2| + 3, x = 0.5, and x = 1.6. Round your answer to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1e^(-2((2x)/(-3x))) - 1 and g(x) = 1|x - 3| + 1 between the vertical lines x = 1.2 and x = 4.8. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(2|x| - 2) + 2)/(-3(2|x| - 2) + 2) and g(x) = 1x + 1 between the vertical lines x = -0.7 and x = 1.1. Round to 1 decimal place.

Present the answer in LaTex format: \boxed{Your answer}