[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(1(-1(-5x - 3) + 2)^2 + 1(-1(-5x - 3) + 2) + 1) + 1 and g(x) = 1((-3(-3x^2 + 1x - 4))/(1(-3x^2 + 1x - 4) + 1)) between the vertical lines x = -1.2 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) = (2((-2(-1(-1sin(1πx + 2) + 2) - 4) + 2)/(-1(-1(-1sin(1πx + 2) + 2) - 4) - 3)) + 3)/(3((-2(-1(-1sin(1πx + 2) + 2) - 4) + 2)/(-1(-1(-1sin(1πx + 2) + 2) - 4) - 3)) - 1), g(x) = 1(1|(1e^(-1x) - 1) - 3| + 3)^2 - 5(1|(1e^(-1x) - 1) - 3| + 3) - 5, x = -1.9, and x = -0.0. 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(-2sin(3π(-4((2x - 2)/(1x + 1)) + 4) + 2) + 1) + 5 and g(x) = 3cos(1π(3|(1|x - 1| + 1) + 2| + 1) + 1) + 1 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]
Calculate the area enclosed between the functions f(x) = (1(2(-3cos(3π((2x - 2)/(-3x - 2)) + 3) + 3) - 1) - 2)/(-3(2(-3cos(3π((2x - 2)/(-3x - 2)) + 3) + 3) - 1) - 2) and g(x) = -1(-3(5x + 1))^2 + 2(-3(5x + 1)) + 1 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) = 2cos(2π((2((-3(-1x + 1) + 2)/(1(-1x + 1) + 1)) - 1)/(1((-3(-1x + 1) + 2)/(1(-1x + 1) + 1)) + 2))) + 2, g(x) = (-2(-4(3x - 3)^2 + 3(3x - 3) + 2) + 1)/(1(-4(3x - 3)^2 + 3(3x - 3) + 2) + 2), x = 0.9, 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(-1(-4(-2|x + 2| - 1) - 3) + 5) + 5 and g(x) = 3cos(2π(4((1x + 3)/(-1x + 2))^2 + 2((1x + 3)/(-1x + 2)) + 1) - 1) between the vertical lines x = -2.6 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) = -1|((3(-2cos(1π(3|x + 2| + 1))) + 2)/(2(-2cos(1π(3|x + 2| + 1))) - 1)) - 3| - 3 and g(x) = -3(-4(-2e^(2x))^2 - 4(-2e^(2x)) + 3)^2 - 5(-4(-2e^(2x))^2 - 4(-2e^(2x)) + 3) - 5 between the vertical lines x = -3.5 and x = -3.4. 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|(-2|(4(2sin(3πx + 2) + 1)^2 + 3(2sin(3πx + 2) + 1) - 1) + 3| - 3) + 2|, g(x) = -3|(-3(-5x) - 1) + 3| - 1, x = 3.2, and x = 3.4. 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(-3(-2sin(2π(2|x| - 3) + 2) - 1)^2 - 2(-2sin(2π(2|x| - 3) + 2) - 1) + 2) - 2 and g(x) = 3(2sin(2π(-1|x + 3| - 1) - 3) + 3) + 4 from x = 2.5 to x = 2.9. 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(3((1(3cos(3πx - 1) + 2) - 3)/(2(3cos(3πx - 1) + 2) + 3)) + 1)^2 + 5(3((1(3cos(3πx - 1) + 2) - 3)/(2(3cos(3πx - 1) + 2) + 3)) + 1) - 1, g(x) = -2|(-3((1x + 2)/(-2x + 3)) - 5) - 2| + 1, x = 2.4, and x = 2.5. 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) = 3((-1(-2|(-3|x - 2| + 2)| - 1) + 2)/(3(-2|(-3|x - 2| + 2)| - 1))) and g(x) = -3(-2(1x)^2 - 5(1x) + 4) - 1 from x = -3.1 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) = 1sin(1π(-2|((-1((-2x - 2)/(-1x)) - 3)/(-1((-2x - 2)/(-1x)) - 3)) + 2|) + 2) + 3, g(x) = 5(3|(4x - 1) + 1| - 1)^2 + 5(3|(4x - 1) + 1| - 1) + 2, x = -0.1, 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((3(-2|(4x^2 + 2x + 4) - 2| + 3) + 3)/(3(-2|(4x^2 + 2x + 4) - 2| + 3) + 2)) + 3)/(3((3(-2|(4x^2 + 2x + 4) - 2| + 3) + 3)/(3(-2|(4x^2 + 2x + 4) - 2| + 3) + 2)) + 1) and g(x) = 1|(2sin(3π(2|x + 2| + 1) + 1) - 2) - 2| + 3 between the vertical lines x = -0.5 and 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(-1|(-4(3x^2 + 1x + 3) + 1) + 2| + 2) - 1) - 3 and g(x) = -2|(-2(2x^2 + 3x + 2)^2 + 5(2x^2 + 3x + 2)) + 3| + 1 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) = 1|((2(-2cos(2π(-5x^2 - 2x - 2) + 1) + 2) - 2)/(1(-2cos(2π(-5x^2 - 2x - 2) + 1) + 2) - 3)) - 1| - 1 and g(x) = (1(-2(3e^(1x) - 3) - 3) - 1)/(-3(-2(3e^(1x) - 3) - 3)) from x = -3.2 to x = -3.1. 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|(5(4(1x + 5)^2 - 3(1x + 5) - 1)^2 - 5) + 3| + 3 and g(x) = 4((2((-1x + 1)/(3x)) - 2)/(-1((-1x + 1)/(3x)) + 2)) + 2 from x = -4.3 to x = -3.8. 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) = 4(-3cos(2π((1(3|x + 1| + 1))/(-3(3|x + 1| + 1) + 2))) + 2)^2 + 4(-3cos(2π((1(3|x + 1| + 1))/(-3(3|x + 1| + 1) + 2))) + 2) + 5, g(x) = 1((-2(-3x - 3) + 2)/(1(-3x - 3) + 3))^2 + 5((-2(-3x - 3) + 2)/(1(-3x - 3) + 3)) - 4, x = -0.3, 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) = 3sin(3π(2((3(-5x^2 - 3x + 2) - 1)/(2(-5x^2 - 3x + 2) - 3)) + 1)) + 3 and g(x) = -1|(-4(3x^2 - 5x) - 1) + 2| + 3 between the vertical lines x = 0.0 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(5(4((1x + 3)/(3x + 1)))^2 - 4(4((1x + 3)/(3x + 1))) + 2) - 2)/(-3(5(4((1x + 3)/(3x + 1)))^2 - 4(4((1x + 3)/(3x + 1))) + 2) - 2) and g(x) = -1(1(1cos(1πx) - 3) + 4)^2 - 5(1(1cos(1πx) - 3) + 4) + 1 from x = -1.2 to 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) = (-3(-1(3e^(1(4x^2 - 2x + 3)) - 1) + 2) + 1)/(3(-1(3e^(1(4x^2 - 2x + 3)) - 1) + 2) - 2) and g(x) = 2|((1((2x - 1)/(-1x + 2)) + 1)/(-2((2x - 1)/(-1x + 2)) - 1)) + 2| - 2 between the vertical lines x = 0.2 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) = (3(-3cos(1π(3|(-1x^2 + 5x + 1) + 3| - 1) - 2) + 3) + 2)/(3(-3cos(1π(3|(-1x^2 + 5x + 1) + 3| - 1) - 2) + 3) + 2) and g(x) = 3cos(2π(1(1|x - 3|) - 5) - 3) - 1 between the vertical lines x = -4.6 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) = -4(-1|((2(3x^2 + 5x - 5) + 1)/(2(3x^2 + 5x - 5) + 3)) - 1| + 2)^2 - 1(-1|((2(3x^2 + 5x - 5) + 1)/(2(3x^2 + 5x - 5) + 3)) - 1| + 2) + 3, g(x) = -1|(-2cos(3π(-1|x + 1|) + 2) + 1) + 1| - 3, x = -2.0, 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) = -1cos(2π(-5((-1((2x - 1)/(-1x - 2)) - 3)/(-3((2x - 1)/(-1x - 2)) + 1)) + 4) - 1) - 1, g(x) = -1(1e^(1((-1x - 3)/(-1x - 2))) - 2)^2 + 3(1e^(1((-1x - 3)/(-1x - 2))) - 2) - 1, x = -0.5, 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) = 5(-4(-1((2x - 1)/(-1x - 3))^2 + 4((2x - 1)/(-1x - 3)))^2 - 1(-1((2x - 1)/(-1x - 3))^2 + 4((2x - 1)/(-1x - 3))) + 4) and g(x) = (-3(1(3x^2 + 2x - 2) + 3) + 3)/(-1(1(3x^2 + 2x - 2) + 3) + 2) from x = 0.1 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) = -1e^(-1((-1(-4(-2|x - 1| + 1)^2 + 1(-2|x - 1| + 1) + 3) + 1)/(-2(-4(-2|x - 1| + 1)^2 + 1(-2|x - 1| + 1) + 3) + 3))) + 2 and g(x) = -2|(1e^(1((-2x + 3)/(-1x + 2))) - 3) + 3| + 2 from x = 0.2 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) = -2|(-5(-2|(-3x + 5) + 1| + 1)^2 - 1(-2|(-3x + 5) + 1| + 1) + 2) + 1| - 2, g(x) = (-3((-1(1x + 5) - 1)/(1(1x + 5) - 2)) + 3)/(3((-1(1x + 5) - 1)/(1(1x + 5) - 2)) + 3), x = 1.9, and x = 2.0. 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) = -2(2(1cos(2π(-3x - 2) - 2) - 1)^2 + 4(1cos(2π(-3x - 2) - 2) - 1) + 4) + 3 and g(x) = (1(-1|(-1x - 3) + 3| + 2) + 3)/(1(-1|(-1x - 3) + 3| + 2) - 2) from x = 2.5 to 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) = -1|(2|(3(1x^2 - 4x - 3) + 3) - 1| + 2)| - 2 and g(x) = -4(-4(1cos(2πx - 3) - 2) - 5) - 3 between the vertical lines x = -0.7 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) = 2|(4((-2((-1x - 2)/(-2x - 2)) - 2)/(1((-1x - 2)/(-2x - 2)) + 3))^2 + 4((-2((-1x - 2)/(-2x - 2)) - 2)/(1((-1x - 2)/(-2x - 2)) + 3)) + 1) - 1| and g(x) = -5(-3((-2x - 3)/(-3x)) - 4) + 5 from x = -1.0 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) = 1(-4(3cos(2π((3x + 1)/(1x + 2)) + 2) - 2)^2 - 5(3cos(2π((3x + 1)/(1x + 2)) + 2) - 2))^2 + 2(-4(3cos(2π((3x + 1)/(1x + 2)) + 2) - 2)^2 - 5(3cos(2π((3x + 1)/(1x + 2)) + 2) - 2)) - 4 and g(x) = 3(1sin(3π(2|x - 3| - 2)) - 3)^2 + 5(1sin(3π(2|x - 3| - 2)) - 3) + 3 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]
Determine the area of the region enclosed by the graphs of f(x) = 4(1(-2(1x^2 + 5x + 1) - 4)^2 - 2(-2(1x^2 + 5x + 1) - 4) - 5)^2 + 4(1(-2(1x^2 + 5x + 1) - 4)^2 - 2(-2(1x^2 + 5x + 1) - 4) - 5) - 5 and g(x) = (3(-2|(2e^(2x) - 3) + 3| - 1))/(2(-2|(2e^(2x) - 3) + 3| - 1) - 1) between the vertical lines x = -4.4 and x = -3.8. 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|(3(2(4x^2 + 1x)^2 + 2(4x^2 + 1x)) - 2) + 2| - 1 and g(x) = -1(-5(-3sin(3πx) - 1) + 1)^2 - 4(-5(-3sin(3πx) - 1) + 1) - 3 between the vertical lines x = -0.3 and x = -0.19999999999999998. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2(1cos(1π(1|(-1|x + 1|) + 2| - 3) - 3)) - 3 and g(x) = -1(4(-2x^2 + 5x - 1) - 4)^2 - 4(4(-2x^2 + 5x - 1) - 4) - 5 from x = 2.1 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) = (-1(2|(-5(-4x^2 - 1x - 4) + 4) + 3| + 2) + 1)/(-2(2|(-5(-4x^2 - 1x - 4) + 4) + 3| + 2) + 1) and g(x) = (-3((3(-2sin(3πx + 1) - 1) - 3)/(-2(-2sin(3πx + 1) - 1) - 2)) + 3)/(2((3(-2sin(3πx + 1) - 1) - 3)/(-2(-2sin(3πx + 1) - 1) - 2)) + 3) from x = -2.3 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) = (-2(5(-2(-3|x + 2|) - 5) - 3) + 3)/(1(5(-2(-3|x + 2|) - 5) - 3) + 2), g(x) = -2|(4(-4x^2 + 5x - 3) + 5) + 3|, x = 0.2, and x = 0.3. 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) = 5(-3e^(1((1(-2x^2 - 3x - 2) - 3)/(-2(-2x^2 - 3x - 2)))) + 2)^2 - 1(-3e^(1((1(-2x^2 - 3x - 2) - 3)/(-2(-2x^2 - 3x - 2)))) + 2) - 4 and g(x) = -1(1(-2sin(1πx) + 3) - 4)^2 + 3 between the vertical lines x = -0.2 and 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) = (2(-1(-4(1x + 3)^2 - 4(1x + 3) + 1) - 1))/(1(-1(-4(1x + 3)^2 - 4(1x + 3) + 1) - 1) + 3) and g(x) = -4(1|(-3x + 5) + 3| + 3) - 5 between the vertical lines x = -3.6 and x = -3.4. 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(-5(-1cos(3π(-4x + 3) - 3) - 3) - 4)^2 + 1(-5(-1cos(3π(-4x + 3) - 3) - 3) - 4) - 5, g(x) = 3((1(-2sin(2πx + 2) + 3))/(1(-2sin(2πx + 2) + 3) - 2)) + 4, x = -4.9, 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) = 2|((-1(-2(3|x + 2| + 2)) + 3)/(-3(-2(3|x + 2| + 2))))| - 3 and g(x) = 2cos(3π(-2|(3x + 4)| + 1) + 1) - 1 between the vertical lines x = 1.7 and 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) = (-1(-5(-1(-2|x - 3| - 1) - 1)^2) + 3)/(-1(-5(-1(-2|x - 3| - 1) - 1)^2)) and g(x) = 5(1(-2x + 4) - 2)^2 + 1(1(-2x + 4) - 2) - 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]
Calculate the area enclosed between the functions f(x) = -1|((2(-1|(-4x^2 - 1x - 5)| - 1) - 3)/(-2(-1|(-4x^2 - 1x - 5)| - 1) + 3))| + 1 and g(x) = 5(4(4x)^2 - 5(4x) - 3) + 2 from x = -0.1 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(-3(-1((2x + 2)/(1x + 2)) + 5)^2 + 1(-1((2x + 2)/(1x + 2)) + 5) + 4) - 1)/(3(-3(-1((2x + 2)/(1x + 2)) + 5)^2 + 1(-1((2x + 2)/(1x + 2)) + 5) + 4) - 1) and g(x) = (-1(2|((2x + 2)/(-1x - 3)) + 2| - 1) + 3)/(-2(2|((2x + 2)/(-1x - 3)) + 2| - 1) + 3) from x = -2.5 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) = 3cos(3π(-1|(-1|(1x - 5)| - 2) + 1| + 3) - 3) + 1, g(x) = 1|(-2|(3|x + 3| - 3) - 1| - 3) + 2| + 1, x = -4.0, 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) = (-2(-3(1(-3x - 2) + 5)^2 + 2(1(-3x - 2) + 5) - 2) - 3)/(1(-3(1(-3x - 2) + 5)^2 + 2(1(-3x - 2) + 5) - 2) + 2) and g(x) = -2(5(3sin(2πx - 1))^2 + 3(3sin(2πx - 1)) - 1)^2 - 3(5(3sin(2πx - 1))^2 + 3(3sin(2πx - 1)) - 1) - 4 between the vertical lines x = 0.7 and x = 0.7999999999999999. 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((-2((-3(4x^2 + 4x) - 3)/(3(4x^2 + 4x) - 2)) + 2)/(3((-3(4x^2 + 4x) - 3)/(3(4x^2 + 4x) - 2)) - 1)) - 1)/(2((-2((-3(4x^2 + 4x) - 3)/(3(4x^2 + 4x) - 2)) + 2)/(3((-3(4x^2 + 4x) - 3)/(3(4x^2 + 4x) - 2)) - 1)) - 1), g(x) = 4(-1sin(2π(-2|x - 1| - 3) + 3) + 3)^2, x = -0.9, 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) = (-1(-3|(3cos(2π(-1|x| + 3) + 2) - 2) + 1| + 2))/(-1(-3|(3cos(2π(-1|x| + 3) + 2) - 2) + 1| + 2)) and g(x) = 3sin(3π((-1(-4x + 2) + 1)/(1(-4x + 2) - 2)) - 2) + 1 from x = -0.6 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) = 2(-1(-4(-2|x + 1| + 2) - 1) + 3) + 5, g(x) = 2|((3(2x + 1) - 2)/(1(2x + 1))) - 2| - 3, x = -2.8, 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) = -1(2e^(-1(2|(2|x + 3| + 3)| + 2)) - 3)^2 + 5(2e^(-1(2|(2|x + 3| + 3)| + 2)) - 3), g(x) = -2(-3(1x - 3)^2 - 4(1x - 3) + 1)^2 - 1(-3(1x - 3)^2 - 4(1x - 3) + 1) + 1, x = 0.9, and x = 3.8. 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((-2(-5(-4x + 2)^2 + 4) + 1)/(2(-5(-4x + 2)^2 + 4) - 3)) + 3)/(2((-2(-5(-4x + 2)^2 + 4) + 1)/(2(-5(-4x + 2)^2 + 4) - 3)) - 1) and g(x) = -1(-1(-3x + 1)^2 - 4(-3x + 1) - 3) + 1 from x = 0.3 to x = 0.7. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5(-1(2|(3sin(2πx - 1))| - 2) + 5)^2 - 2(-1(2|(3sin(2πx - 1))| - 2) + 5) - 3 and g(x) = 5(-3sin(3π((-2x - 2)/(2x + 2)) + 3) + 3) - 2 from x = 1.5 to 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(1((-2((1x - 1)/(2x - 1)) + 1)/(3((1x - 1)/(2x - 1))))) - 3 and g(x) = 1((2(2x - 5) - 2)/(-1(2x - 5) - 1)) + 4 from x = 1.1 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) = (-3(-3(5(-4x^2 - 3x + 3) - 1) + 5) + 1)/(-2(-3(5(-4x^2 - 3x + 3) - 1) + 5)), g(x) = 5(4((2x + 1)/(3x - 2))^2 + 3((2x + 1)/(3x - 2)) - 4) - 4, x = -1.2, 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) = 1((-1(-1(-1|x - 3| + 3)^2 - 1(-1|x - 3| + 3)) + 2)/(3(-1(-1|x - 3| + 3)^2 - 1(-1|x - 3| + 3)))) - 4 and g(x) = -2sin(1π(3((3x + 3)/(2x)) + 2) + 2) - 3 from x = -0.6 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) = -3(-2sin(1π(-3((-3x - 3)/(1x + 3)) - 3) - 1) - 2)^2 - 3(-2sin(1π(-3((-3x - 3)/(1x + 3)) - 3) - 1) - 2) - 5 and g(x) = -1|(3(-2e^(2x) + 1) - 5)| from x = -0.2 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) = 3sin(1π(1|(2((3x + 1)/(-2x - 1))^2 + 4) - 2| - 3)) - 2 and g(x) = 3(3(-3cos(3πx) + 1) + 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]
Find the area of the region bounded by the curves f(x) = -1e^(2((2(3(-1x^2 - 2x + 2)^2 - 1(-1x^2 - 2x + 2) + 2) - 3)/(-3(3(-1x^2 - 2x + 2)^2 - 1(-1x^2 - 2x + 2) + 2) + 4))) + 3, g(x) = -2sin(2π(5((-1x + 3)/(2x + 2))^2 + 3((-1x + 3)/(2x + 2)) - 2)) + 3, x = -0.3, 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(1|(-4(-3sin(1πx - 1) - 1)^2 + 2(-3sin(1πx - 1) - 1) + 2)| + 1)^2 + 1(1|(-4(-3sin(1πx - 1) - 1)^2 + 2(-3sin(1πx - 1) - 1) + 2)| + 1) - 4 and g(x) = (-1(-3e^(-2((-3x - 3)/(-1x + 2))) + 1) + 2)/(2(-3e^(-2((-3x - 3)/(-1x + 2))) + 1) - 1) between the vertical lines x = 3.5 and 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) = (3(-3|(3|(1x + 1) - 3| - 3) - 3| + 2) + 1)/(-2(-3|(3|(1x + 1) - 3| - 3) - 3| + 2) + 1) and g(x) = (3(-1sin(1π(1|x - 1|) - 1) + 1) - 2)/(-3(-1sin(1π(1|x - 1|) - 1) + 1) + 1) from x = 0.0 to 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) = -4(-2sin(3π(3(-1x^2 + 4x - 3)^2 + 5(-1x^2 + 4x - 3) + 4) + 2)) + 5 and g(x) = -1(-1(1|x| - 2)^2 + 5) + 4 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) = 3sin(2π(-3|(-2((-1x + 3)/(-1x + 2)) - 5) + 2| + 3) + 1) - 3 and g(x) = (-3(-1(5x - 2)^2 - 1(5x - 2) + 4) + 2)/(3(-1(5x - 2)^2 - 1(5x - 2) + 4) + 3) between the vertical lines x = -0.0 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(-1sin(3π(5(3|x - 3| + 2)^2 - 3(3|x - 3| + 2) - 4) + 1) - 3)^2 - 5(-1sin(3π(5(3|x - 3| + 2)^2 - 3(3|x - 3| + 2) - 4) + 1) - 3) - 4 and g(x) = 3e^(-2(5(-4x)^2 + 5(-4x) + 3)) + 1 from x = -3.1 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) = -1(1|(1((-2x + 2)/(2x - 1)) - 4) - 2| + 2)^2 + 1(1|(1((-2x + 2)/(2x - 1)) - 4) - 2| + 2) + 3 and g(x) = -1|(-1cos(3π(-2x + 1) + 3))| - 3 from x = 0.6 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) = (-1(5((2(3cos(2πx + 2) - 3) + 3)/(1(3cos(2πx + 2) - 3) + 3))^2 + 1((2(3cos(2πx + 2) - 3) + 3)/(1(3cos(2πx + 2) - 3) + 3)) + 1))/(3(5((2(3cos(2πx + 2) - 3) + 3)/(1(3cos(2πx + 2) - 3) + 3))^2 + 1((2(3cos(2πx + 2) - 3) + 3)/(1(3cos(2πx + 2) - 3) + 3)) + 1) - 1) and g(x) = 1(1|(2x^2 + 5x)|)^2 + 2(1|(2x^2 + 5x)|) - 2 between the vertical lines x = -0.1 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|(2(2sin(3π((2x + 3)/(-1x - 2)) - 2) + 3)^2 - 2(2sin(3π((2x + 3)/(-1x - 2)) - 2) + 3) - 2) + 2| - 1 and g(x) = 1(2|(2|x - 2| - 2) - 1| + 1)^2 + 2 from x = -0.1 to 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((-2(2(-3e^(-1x) - 3) - 2) - 3)/(-2(2(-3e^(-1x) - 3) - 2) - 2)) + 5 and g(x) = 3(-3(2|x - 1| + 1) + 5)^2 + 3(-3(2|x - 1| + 1) + 5) - 5 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) = -1|(2|((-1((-2x + 3)/(2x - 3)) - 1)/(-3((-2x + 3)/(2x - 3)))) + 1| - 3)| + 3 and g(x) = 3|(-3(-1|x + 3| + 3) - 2) + 2| - 1 between the vertical lines x = -0.3 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) = (2((-1(-1cos(1π(-1|x - 2|) + 2) - 2) - 2)/(1(-1cos(1π(-1|x - 2|) + 2) - 2))) - 1)/(1((-1(-1cos(1π(-1|x - 2|) + 2) - 2) - 2)/(1(-1cos(1π(-1|x - 2|) + 2) - 2)))), g(x) = -3(-2(2x^2 - 1x - 1))^2 + 5, x = -1.1, 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) = 3(-2e^(-1(-5(-5x + 4)^2 + 5(-5x + 4) - 1)) + 3)^2 - 1(-2e^(-1(-5(-5x + 4)^2 + 5(-5x + 4) - 1)) + 3) - 5 and g(x) = (-1(5(1|x - 2| - 1) + 1) - 3)/(3(5(1|x - 2| - 1) + 1) - 2) from x = 0.6 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) = -1sin(2π(3|(3|(-3x + 1) - 3| - 1) + 2| + 1) + 2) - 3 and g(x) = -2e^(-1(-3|(-1x + 4)| + 3)) + 1 between the vertical lines x = 2.8 and x = 2.9. 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|((-2(-2e^(-2((-2x + 2)/(-2x - 1))) - 1) - 1)/(-1(-2e^(-2((-2x + 2)/(-2x - 1))) - 1) + 2)) - 1| + 3, g(x) = -1((2(-1x) + 3)/(2(-1x) - 3))^2 - 5((2(-1x) + 3)/(2(-1x) - 3)) + 4, x = -1.0, 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) = 1|((1((1(-4x + 1) - 2)/(1(-4x + 1) + 2)) + 1)/(-2((1(-4x + 1) - 2)/(1(-4x + 1) + 2)) - 3)) - 2| - 2 and g(x) = (-1(-4(3x - 3)^2 + 1(3x - 3) - 2) + 1)/(-2(-4(3x - 3)^2 + 1(3x - 3) - 2) - 2) between the vertical lines x = 0.3 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) = -1|(1((-2(2|x + 2| - 2) - 2)/(-1(2|x + 2| - 2) - 2)) - 2)| + 1 and g(x) = (-1((1(-3sin(2πx - 1) - 2) + 3)/(1(-3sin(2πx - 1) - 2))) + 1)/(-3((1(-3sin(2πx - 1) - 2) + 3)/(1(-3sin(2πx - 1) - 2))) - 1) from x = 0.1 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) = -2(-2cos(1π(-3|(3|x - 2| - 3) - 2|) - 3) - 1)^2 + 5(-2cos(1π(-3|(3|x - 2| - 3) - 2|) - 3) - 1) + 2, g(x) = -1|(1|(1|x - 3| - 1)| - 2) - 1| - 1, x = 3.3, and x = 3.4. 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) = -2sin(3π(4(-5((-1x - 2)/(2x - 3)) + 5)^2 - 1(-5((-1x - 2)/(2x - 3)) + 5) - 3) - 1) + 2 and g(x) = -3(2((-2x - 3)/(2x - 1)) + 4) + 4 between the vertical lines x = 4.8 and x = 4.8999999999999995. 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(3π(-2|(-3|x - 3| + 2) + 2|) + 3) - 2) + 1| + 3, g(x) = -2(5(-1|x - 3| + 1) - 1) - 3, x = 4.6, and x = 4.699999999999999. 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(2|(-1|x - 3| + 1)| - 2) - 3) - 4 and g(x) = -2(-2|(1cos(2πx + 1) + 2) + 1| + 3) - 3 between the vertical lines x = 3.2 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) = -4((-1(3sin(3π(-4x^2 - 4x + 3) + 1) + 3) + 1)/(-1(3sin(3π(-4x^2 - 4x + 3) + 1) + 3) + 2))^2 + 4((-1(3sin(3π(-4x^2 - 4x + 3) + 1) + 3) + 1)/(-1(3sin(3π(-4x^2 - 4x + 3) + 1) + 3) + 2)) - 3, g(x) = -1((-2(-4x + 2) - 2)/(2(-4x + 2)))^2 + 3((-2(-4x + 2) - 2)/(2(-4x + 2))) - 4, x = -1.4, and x = -1.2999999999999998. 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(2π(-2(-2((-2x + 1)/(1x + 2)) - 2)^2 - 4(-2((-2x + 1)/(1x + 2)) - 2) + 1) + 3), g(x) = -1|(-1((2x - 3)/(1x - 3))^2 + 5((2x - 3)/(1x - 3)) + 1) + 3| + 1, x = 1.7, 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) = -3((3(-4((1x - 3)/(2x - 1)) - 5) + 3)/(-1(-4((1x - 3)/(2x - 1)) - 5) + 2)) - 5, g(x) = -1(4(2|x| - 1)^2 - 1(2|x| - 1)) + 4, x = -0.2, 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) = 1|((2(-3|(3cos(3πx + 3) - 3) + 1| + 3) - 2)/(3(-3|(3cos(3πx + 3) - 3) + 1| + 3) - 1))| and g(x) = 1(-1(-3x) - 1) + 2 between the vertical lines x = 3.8 and x = 4.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -5(-4((3(-4x^2 - 1x + 4) + 1)/(-3(-4x^2 - 1x + 4) + 4))^2 + 5((3(-4x^2 - 1x + 4) + 1)/(-3(-4x^2 - 1x + 4) + 4)) - 1)^2 + 4(-4((3(-4x^2 - 1x + 4) + 1)/(-3(-4x^2 - 1x + 4) + 4))^2 + 5((3(-4x^2 - 1x + 4) + 1)/(-3(-4x^2 - 1x + 4) + 4)) - 1) - 5 and g(x) = -1(-3(-1x^2 + 4x + 1) + 5) - 4 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) = 1((2(-4(-1x^2 + 1x - 5) + 2))/(-2(-4(-1x^2 + 1x - 5) + 2) + 3)) and g(x) = (-1(1((3x - 2)/(-2x + 3))^2 - 4((3x - 2)/(-2x + 3)) - 2) + 2)/(3(1((3x - 2)/(-2x + 3))^2 - 4((3x - 2)/(-2x + 3)) - 2) - 1) from x = 0.4 to 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) = -2(-2sin(2π(5(5x^2 - 3x + 5)^2 - 5(5x^2 - 3x + 5) - 5) + 3) + 2) - 5, g(x) = -3|(-5(2x - 1) + 2) - 1| + 3, x = 1.0, and x = 1.1. 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) = 1sin(2π(-1|(-2|(-1|x - 2| + 1) + 1| + 3) - 3| + 2) - 1) - 2 and g(x) = -1|(1e^(-1(-2|x| - 1)) - 3) + 2| + 3 from x = -0.3 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) = -2(-3((-3(2|x - 3| - 3))/(-3(2|x - 3| - 3) + 2)) - 5) - 1, g(x) = 1(2|(-1x - 4)| - 1)^2 + 4, x = -1.8, 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) = (1(3|((-3((3x - 1)/(-2x + 3)) - 1)/(1((3x - 1)/(-2x + 3))))|) + 3)/(1(3|((-3((3x - 1)/(-2x + 3)) - 1)/(1((3x - 1)/(-2x + 3))))|) - 3), g(x) = 3|(-3(-2sin(2πx + 2) + 2)^2 - 3(-2sin(2πx + 2) + 2) + 2) - 2| + 3, x = -0.3, 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((3(-1(2sin(2πx + 2) + 1)^2 - 1(2sin(2πx + 2) + 1) + 2) + 3)/(2(-1(2sin(2πx + 2) + 1)^2 - 1(2sin(2πx + 2) + 1) + 2) + 3)) + 1)/(-1((3(-1(2sin(2πx + 2) + 1)^2 - 1(2sin(2πx + 2) + 1) + 2) + 3)/(2(-1(2sin(2πx + 2) + 1)^2 - 1(2sin(2πx + 2) + 1) + 2) + 3)) + 2), g(x) = (-1(3|(3|x - 1| + 3) - 2| - 1) - 1)/(-3(3|(3|x - 1| + 3) - 2| - 1) + 2), x = -0.8, 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) = (-1(-1|(1(1cos(1πx) - 3)^2 + 2(1cos(1πx) - 3) + 5)| - 1) - 3)/(-2(-1|(1(1cos(1πx) - 3)^2 + 2(1cos(1πx) - 3) + 5)| - 1) + 3) and g(x) = 1(1cos(3π(-2|x + 3| - 3) - 1) + 3) - 3 from x = -4.7 to 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) = 1(3((3(-4x + 1) + 2)/(2(-4x + 1) + 2)))^2 - 5(3((3(-4x + 1) + 2)/(2(-4x + 1) + 2))) - 3, g(x) = 1((-1(3|x + 1| - 3) + 1)/(3(3|x + 1| - 3) - 2))^2 - 5((-1(3|x + 1| - 3) + 1)/(3(3|x + 1| - 3) - 2)) + 2, x = 0.4, and x = 0.7. 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) = 1|(1((2((3x + 2)/(3x + 1)) + 1)/(2((3x + 2)/(3x + 1)) + 2))^2 + 1((2((3x + 2)/(3x + 1)) + 1)/(2((3x + 2)/(3x + 1)) + 2)) + 3) - 1| - 3 and g(x) = -5(1(3sin(3πx - 2) + 1)^2 - 1(3sin(3πx - 2) + 1) - 2) between the vertical lines x = -3.1 and x = -2.8. 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) = -1sin(3π(-1(3((-2x + 2)/(-3x)) + 3)^2 + 5(3((-2x + 2)/(-3x)) + 3) - 5)) + 3, g(x) = -1(4(-2|x + 3| + 3) + 4)^2 + 2(4(-2|x + 3| + 3) + 4) + 5, x = -0.9, 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) = (1(2((-2(3x - 1))/(2(3x - 1) + 3))^2 - 1((-2(3x - 1))/(2(3x - 1) + 3)) - 4) - 2)/(3(2((-2(3x - 1))/(2(3x - 1) + 3))^2 - 1((-2(3x - 1))/(2(3x - 1) + 3)) - 4)) and g(x) = 2|(1((3x)/(1x)) - 2)| - 3 from x = -2.0 to x = 0.0. 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(2cos(3π(-4((-3x - 3)/(-3x + 4))^2 - 5((-3x - 3)/(-3x + 4)) - 3) + 1) - 2)^2 - 1(2cos(3π(-4((-3x - 3)/(-3x + 4))^2 - 5((-3x - 3)/(-3x + 4)) - 3) + 1) - 2) + 4 and g(x) = 2cos(2π(-3|((-3x - 3)/(2x - 1)) - 3| - 3) + 3) - 1 from x = 3.1 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) = (-2(2e^(2(-2|(3|x - 3| + 3) - 2| - 3)) + 2) + 1)/(-1(2e^(2(-2|(3|x - 3| + 3) - 2| - 3)) + 2) - 2) and g(x) = -2|(-1(-1x^2 + 4x + 2) + 3) - 1| + 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) = (2(-2|(-3sin(3π(5x^2 + 3x - 2)))| + 2))/(1(-2|(-3sin(3π(5x^2 + 3x - 2)))| + 2) + 1), g(x) = -2(1(2x - 4)^2 - 2(2x - 4) - 2)^2 - 2, x = 3.3, 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|((-3(-1|((1x + 2)/(2x + 1)) - 3| + 2) - 1)/(1(-1|((1x + 2)/(2x + 1)) - 3| + 2) + 2))|, g(x) = 2e^(-1(2|(3x^2 - 4x - 3) - 2| - 3)) - 1, x = 1.9, 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) = (-1(-4(2(5x - 3)^2 + 1)^2 + 2(2(5x - 3)^2 + 1) - 2) - 3)/(-3(-4(2(5x - 3)^2 + 1)^2 + 2(2(5x - 3)^2 + 1) - 2)), g(x) = 3sin(2π((-1(-1|x - 2| - 1) + 2)/(2(-1|x - 2| - 1)))) - 2, x = 0.2, and x = 3.8. 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|(-1(-1sin(3π(-4x^2 - 3x + 4) - 3) + 3)^2 + 3(-1sin(3π(-4x^2 - 3x + 4) - 3) + 3) + 3) - 3| + 2 and g(x) = 4(-3(2e^(1x) - 2)^2 - 3(2e^(1x) - 2) + 5) - 3 from x = -1.2 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) = 3cos(2π(3(5((1x)/(-2x))^2 + 1((1x)/(-2x)) + 4) + 1) - 1) + 3 and g(x) = (-1(-5((-3x + 1)/(-1x - 3))^2 - 4((-3x + 1)/(-1x - 3))) + 2)/(-2(-5((-3x + 1)/(-1x - 3))^2 - 4((-3x + 1)/(-1x - 3)))) from x = -0.4 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) = -1(-2|((2(2|x + 3| + 1) - 3)/(1(2|x + 3| + 1))) + 1| + 1)^2 - 3(-2|((2(2|x + 3| + 1) - 3)/(1(2|x + 3| + 1))) + 1| + 1) - 2 and g(x) = -3sin(3π((2(3|x + 2|) + 3)/(-1(3|x + 2|) - 2)) - 1) + 3 from x = -2.7 to 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) = 2sin(2π(-2(2|(-2x^2 - 1x - 4)|)^2 + 3(2|(-2x^2 - 1x - 4)|) - 3) + 3) - 1 and g(x) = -1(2|(2x^2 + 2x - 4) - 1| + 1) + 1 from x = -2.3 to x = -2.1999999999999997. 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(-1cos(1π(-2|(2|x - 2| - 3) + 2| - 2) + 2) + 1)^2 + 4(-1cos(1π(-2|(2|x - 2| - 3) + 2| - 2) + 2) + 1) - 2 and g(x) = 5(2e^(1(-3x^2 + 2x - 1)) - 1) from x = -0.5 to x = -0.3. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(2(-1|((2x + 1)/(3x - 2)) + 1| + 3) + 5) + 2)/(-2(2(-1|((2x + 1)/(3x - 2)) + 1| + 3) + 5)) and g(x) = (2(2(1x^2 + 3x + 1)^2 + 4(1x^2 + 3x + 1) + 4) - 1)/(-2(2(1x^2 + 3x + 1)^2 + 4(1x^2 + 3x + 1) + 4) + 3) between the vertical lines x = -3.0 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(-2|(-2sin(1π(-1x^2 + 1) - 2)) + 2| + 2)^2 + 4(-2|(-2sin(1π(-1x^2 + 1) - 2)) + 2| + 2) - 2 and g(x) = (-1(3cos(2π(3|x - 3| + 1) - 1) - 2) + 3)/(1(3cos(2π(3|x - 3| + 1) - 1) - 2) - 2) from x = 2.8 to x = 2.9. 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(2π(-5(-2x + 3)^2 + 1(-2x + 3) + 1) + 3)) - 1)/(-3(-2cos(2π(-5(-2x + 3)^2 + 1(-2x + 3) + 1) + 3)) + 1), g(x) = 1cos(3π(4(2|x + 2| - 2)^2 - 4(2|x + 2| - 2) + 2) - 3) - 2, x = 2.4, and x = 2.5. 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(-4(2((1x + 1)/(-2x - 3))^2 - 3((1x + 1)/(-2x - 3)) + 1) - 5) + 2)/(3(-4(2((1x + 1)/(-2x - 3))^2 - 3((1x + 1)/(-2x - 3)) + 1) - 5) - 1) and g(x) = 4(-1|(2|x + 3| + 3)| + 2)^2 + 1(-1|(2|x + 3| + 3)| + 2) - 4 from x = -3.1 to 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) = 2(1|(1|(-3|x| + 2) + 1| - 1)| + 2) - 5 and g(x) = -2(3((2x - 1)/(1x + 2)) + 5)^2 - 1(3((2x - 1)/(1x + 2)) + 5) + 3 from x = -0.8 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) = (-1(-1((-2(3cos(2πx - 1) - 3) + 3)/(2(3cos(2πx - 1) - 3) + 1)) - 3) - 3)/(3(-1((-2(3cos(2πx - 1) - 3) + 3)/(2(3cos(2πx - 1) - 3) + 1)) - 3) - 2) and g(x) = -4(1sin(3π(-1x^2 - 2) - 2))^2 + 4(1sin(3π(-1x^2 - 2) - 2)) + 2 between the vertical lines x = 2.3 and x = 2.4. 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) = 5(1|((3(-1x^2 - 3x + 4) + 3)/(-2(-1x^2 - 3x + 4) - 2)) + 3| - 3) - 5 and g(x) = -2|(2(-4x + 2)^2 - 1(-4x + 2) - 1) - 1| - 2 between the vertical lines x = -0.0 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) = (1(5(2(-2x + 4)^2 + 5(-2x + 4) - 2)^2 - 3(2(-2x + 4)^2 + 5(-2x + 4) - 2) + 2))/(-3(5(2(-2x + 4)^2 + 5(-2x + 4) - 2)^2 - 3(2(-2x + 4)^2 + 5(-2x + 4) - 2) + 2) - 2) and g(x) = -3(-1(-2|x + 1| - 1) - 4) - 4 from x = -1.9 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) = (-1(1(-3|(1x^2 - 2x - 5) - 3| + 1)) + 1)/(2(1(-3|(1x^2 - 2x - 5) - 3| + 1))), g(x) = (-1(4(-1cos(2πx + 2) + 2)^2 + 4(-1cos(2πx + 2) + 2) - 4) - 1)/(-2(4(-1cos(2πx + 2) + 2)^2 + 4(-1cos(2πx + 2) + 2) - 4) + 3), x = -2.0, and x = -1.9. 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) = 4((3(1((-2x - 1)/(2x - 1))^2 + 3((-2x - 1)/(2x - 1)) + 1) - 2)/(-2(1((-2x - 1)/(2x - 1))^2 + 3((-2x - 1)/(2x - 1)) + 1) - 2)) - 5 and g(x) = 2((-3(-4x^2 + 2x - 4) - 1)/(3(-4x^2 + 2x - 4))) - 2 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) = -3(-1sin(3π(-1(3|x - 3| - 2)^2 + 3(3|x - 3| - 2) - 2) + 2) + 2) - 2 and g(x) = -5(-5(-1sin(2πx) - 1)^2 - 2(-1sin(2πx) - 1) + 3) + 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]
Calculate the area enclosed between the functions f(x) = -4(-2|(-2(2|x + 2| - 3) + 4) - 3| - 3) - 5 and g(x) = 3(-5(-2|x + 3| - 1) + 4) - 5 from x = -3.2 to 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(1(-2cos(2π(-4x^2 + 4x - 2) - 2) + 2)^2 + 2(-2cos(2π(-4x^2 + 4x - 2) - 2) + 2) - 1) - 1)/(-2(1(-2cos(2π(-4x^2 + 4x - 2) - 2) + 2)^2 + 2(-2cos(2π(-4x^2 + 4x - 2) - 2) + 2) - 1) + 3) and g(x) = 3sin(1π(-3(-2|x - 1| - 1)^2 - 2(-2|x - 1| - 1) + 3) - 1) + 1 from x = 4.8 to x = 4.8999999999999995. 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|(-1e^(-2(1((2x + 2)/(-2x + 3)) + 2)) - 2) + 3| - 1, g(x) = (2(-3e^(1(1x^2 - 3x - 2)) - 1) - 1)/(-2(-3e^(1(1x^2 - 3x - 2)) - 1) - 2), x = 3.8, and x = 4.1. 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) = 5(-3|((3((2x - 2)/(2x)) + 1)/(-1((2x - 2)/(2x)) + 2)) + 1| + 2) + 5 and g(x) = 2(-2|((1x + 1)/(3x + 2))| + 1)^2 + 1(-2|((1x + 1)/(3x + 2))| + 1) - 4 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(-5(-2|((-2x - 1)/(3x - 2)) + 1| + 2)) - 5, g(x) = 2|((1((3x)/(-3x + 2)) + 3)/(2((3x)/(-3x + 2)))) + 2| + 2, x = 2.8, and x = 3.3. 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|(3(4(-1x^2 - 2) - 1) + 5) - 3|, g(x) = -5((-1(2sin(2πx + 2) + 1) - 1)/(1(2sin(2πx + 2) + 1))) - 3, x = -1.4, 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(3(3|(2cos(1πx - 3) + 2) + 3| + 3)^2 - 2(3|(2cos(1πx - 3) + 2) + 3| + 3) - 5) + 2)/(-1(3(3|(2cos(1πx - 3) + 2) + 3| + 3)^2 - 2(3|(2cos(1πx - 3) + 2) + 3| + 3) - 5) - 1) and g(x) = -3(2e^(2(-5x + 5)) - 1)^2 + 2 from x = 1.0 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) = 3(-2sin(2π(4(-2|x - 2| - 1) + 2) + 1)) + 4 and g(x) = -2sin(1π(-2((3x + 3)/(3x + 3))^2 - 5)) between the vertical lines x = -0.8 and x = -0.7000000000000001. 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(-4((-1(2cos(1πx) + 3) + 1)/(1(2cos(1πx) + 3) + 1))^2 + 4((-1(2cos(1πx) + 3) + 1)/(1(2cos(1πx) + 3) + 1)) + 4) + 3 and g(x) = 2|((-1((3x - 2)/(2x + 2)) - 1)/(3((3x - 2)/(2x + 2)) - 1)) + 1| - 2 between the vertical lines x = 1.0 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) = (2(3((1(-4x^2 - 3x - 3) + 2)/(-1(-4x^2 - 3x - 3) + 3)) + 4) + 3)/(-2(3((1(-4x^2 - 3x - 3) + 2)/(-1(-4x^2 - 3x - 3) + 3)) + 4) + 3), g(x) = -1|(1(-3|x - 2| - 2) + 5) + 2| - 3, x = -2.2, 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) = 5(1(3(-3cos(1πx + 3) - 2) + 5) + 5) + 4 and g(x) = -3|(-1(-2x^2 - 4x + 5)^2 + 3(-2x^2 - 4x + 5) - 4) - 1| from x = -2.9 to 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) = (-2(2|(-1|((1x + 2)/(3x)) - 3| + 1) + 1| - 3) - 3)/(-2(2|(-1|((1x + 2)/(3x)) - 3| + 1) + 1| - 3) - 2), g(x) = (-3(5(-3|x + 1| + 1)^2 - 2(-3|x + 1| + 1) + 2) + 2)/(-1(5(-3|x + 1| + 1)^2 - 2(-3|x + 1| + 1) + 2)), x = -1.2, 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(-2(1(2|x - 3| - 2)^2 - 4(2|x - 3| - 2) - 4) + 3)^2 + 2(-2(1(2|x - 3| - 2)^2 - 4(2|x - 3| - 2) - 4) + 3) - 5 and g(x) = (1((3(3|x| - 2) + 1)/(1(3|x| - 2))) - 1)/(1((3(3|x| - 2) + 1)/(1(3|x| - 2)))) 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) = -2(4(2(-1x + 4)^2 - 2)^2 - 2(2(-1x + 4)^2 - 2) - 5) + 5 and g(x) = (2(-2|(-3x^2 + 1x - 5) - 3| + 1) + 2)/(-2(-2|(-3x^2 + 1x - 5) - 3| + 1) + 3) between the vertical lines x = 3.4 and x = 4.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3sin(3π(5(2((-2x + 2)/(-1x - 1))^2 - 1((-2x + 2)/(-1x - 1)) - 5)^2 + 3(2((-2x + 2)/(-1x - 1))^2 - 1((-2x + 2)/(-1x - 1)) - 5))) + 2 and g(x) = (-2(-3(-4x^2 - 2x + 4) + 3) - 2)/(3(-3(-4x^2 - 2x + 4) + 3)) from x = 1.5 to x = 1.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (2((1(-2(3|x| + 1)^2 - 4(3|x| + 1) - 2) - 3)/(2(-2(3|x| + 1)^2 - 4(3|x| + 1) - 2) - 3)) + 2)/(-2((1(-2(3|x| + 1)^2 - 4(3|x| + 1) - 2) - 3)/(2(-2(3|x| + 1)^2 - 4(3|x| + 1) - 2) - 3)) - 2) and g(x) = -5(-3|(2sin(1πx + 2)) + 1| + 2) - 1 between the vertical lines x = 2.7 and x = 3.0. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(2e^(-2(4((3x - 3)/(2x + 1)) + 3)) - 3) - 2)/(-2(2e^(-2(4((3x - 3)/(2x + 1)) + 3)) - 3) + 3), g(x) = 1|((-2(-1e^(1x) + 1) + 3)/(-3(-1e^(1x) + 1) - 3)) - 3| - 1, x = 0.9, 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) = 2((-1(3(-1|x| + 3) - 1) - 3)/(1(3(-1|x| + 3) - 1))) + 1 and g(x) = 4(2(1x^2 + 5x + 3) - 3)^2 + 1(2(1x^2 + 5x + 3) - 3) - 3 from x = -4.8 to x = -4.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3((-2(-2|((1x + 3)/(2x - 1))| - 2) - 2)/(3(-2|((1x + 3)/(2x - 1))| - 2) + 2))^2 - 1((-2(-2|((1x + 3)/(2x - 1))| - 2) - 2)/(3(-2|((1x + 3)/(2x - 1))| - 2) + 2)) - 1, g(x) = -2sin(2π(-4(-1x^2 - 3x + 5) - 5) + 2), x = -4.9, and x = -4.8. 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(2(3sin(1π((-2x - 1)/(3x + 3))) - 2) - 1) - 4 and g(x) = (-2((1((1x + 3)/(3x + 3)) - 2)/(-2((1x + 3)/(3x + 3)) + 1)) - 1)/(-3((1((1x + 3)/(3x + 3)) - 2)/(-2((1x + 3)/(3x + 3)) + 1))) from x = -1.4 to 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) = 5(-2cos(2π(5(4x - 4)^2 + 3(4x - 4) + 4) + 3) - 1), g(x) = (-3(-2((2x)/(2x - 1))^2 - 2((2x)/(2x - 1)) - 2) - 1)/(3(-2((2x)/(2x - 1))^2 - 2((2x)/(2x - 1)) - 2) - 2), x = -2.7, and x = -2.6. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(5((3(2e^(1x)) + 1)/(-1(2e^(1x)) + 3))^2 - 5((3(2e^(1x)) + 1)/(-1(2e^(1x)) + 3)) - 3)^2 - 5(5((3(2e^(1x)) + 1)/(-1(2e^(1x)) + 3))^2 - 5((3(2e^(1x)) + 1)/(-1(2e^(1x)) + 3)) - 3) + 5, g(x) = 2cos(1π(5(3|x| + 3)^2 + 5(3|x| + 3) + 4)) + 1, x = -1.2, and x = -1.0999999999999999. 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(-3e^(1((2(-2x^2 - 1x + 4) + 1)/(-1(-2x^2 - 1x + 4) - 2))) - 2)^2 - 2(-3e^(1((2(-2x^2 - 1x + 4) + 1)/(-1(-2x^2 - 1x + 4) - 2))) - 2) + 4, g(x) = -4(-3(-4x^2 + 2x)^2 + 3(-4x^2 + 2x) + 1) - 3, x = 1.0, 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) = 1|(3|(-2((-3x - 2)/(-1x + 2))^2 + 2((-3x - 2)/(-1x + 2))) - 1| - 3) + 2| - 1 and g(x) = 1e^(2((2(-3x^2 + 3x + 2) - 1)/(-3(-3x^2 + 3x + 2) + 2))) between the vertical lines x = -0.8 and x = -0.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 2(-2(1cos(2π(-1x + 1) - 1) - 1)^2 - 2(1cos(2π(-1x + 1) - 1) - 1) + 5) - 2, g(x) = -3|(-2cos(1π(-3x^2 + 4x - 5) - 3) + 1) - 3| + 2, x = 3.4, and x = 4.3. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3e^(1(1(2(2|x + 1| - 3)) + 3)) - 2 and g(x) = -2cos(2π(-2(3x^2 - 1x - 1)^2 - 5(3x^2 - 1x - 1)) - 1) + 3 from x = -1.8 to x = -1.7. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(2|((-2((2x + 1)/(1x + 2)))/(-2((2x + 1)/(1x + 2)))) - 3| + 3) + 1)/(-3(2|((-2((2x + 1)/(1x + 2)))/(-2((2x + 1)/(1x + 2)))) - 3| + 3) + 1) and g(x) = (2(3|((-2x + 1)/(3x + 2)) - 3| - 3) - 2)/(3(3|((-2x + 1)/(3x + 2)) - 3| - 3) + 3) from x = -0.5 to x = -0.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -5(-2cos(3π(1(-2|x + 2| - 2) + 2) - 2)) - 3 and g(x) = (-1(5(1x^2 - 2x - 1)^2 + 3(1x^2 - 2x - 1) - 4) - 3)/(3(5(1x^2 - 2x - 1)^2 + 3(1x^2 - 2x - 1) - 4) + 2) from x = -1.2 to x = -1.0. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(5(1|(2|x| - 1) + 2| - 2)^2 + 5(1|(2|x| - 1) + 2| - 2) - 2) + 1 and g(x) = -4((2(3x^2 + 5x) - 3)/(2(3x^2 + 5x) - 1)) + 4 between the vertical lines x = -1.8 and x = -0.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(5(-3|(-1x^2 + 1x - 2)| - 3)^2 - 5(-3|(-1x^2 + 1x - 2)| - 3) + 4) + 1)/(-2(5(-3|(-1x^2 + 1x - 2)| - 3)^2 - 5(-3|(-1x^2 + 1x - 2)| - 3) + 4) + 3) and g(x) = 1cos(3π(-4(-2x^2 - 3x - 2)^2 - 5(-2x^2 - 3x - 2) - 3) - 1) from x = -1.6 to x = -1.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(2cos(1π(1|(-2x^2 + 1x - 4) + 3|) - 2) + 3)^2 - 4(2cos(1π(1|(-2x^2 + 1x - 4) + 3|) - 2) + 3) + 5, g(x) = -1|(-4((-1x + 1)/(-1x + 3)) - 1)|, x = -3.8, and x = -3.6999999999999997. 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((-2(-1|(5x + 3) + 3| + 2) + 1)/(-2(-1|(5x + 3) + 3| + 2) + 3))^2 + 4((-2(-1|(5x + 3) + 3| + 2) + 1)/(-2(-1|(5x + 3) + 3| + 2) + 3)) - 5 and g(x) = 2(-5(-2sin(3πx + 2) - 2) + 5)^2 + 4(-5(-2sin(3πx + 2) - 2) + 5) - 5 from x = -1.3 to x = -1.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(5((1((-2x + 3)/(-1x + 2)) - 1)/(-3((-2x + 3)/(-1x + 2)) + 2)) + 5)^2 - 5(5((1((-2x + 3)/(-1x + 2)) - 1)/(-3((-2x + 3)/(-1x + 2)) + 2)) + 5) and g(x) = 1((-2(-3|x - 3| + 1))/(-1(-3|x - 3| + 1) + 3))^2 - 3 from x = 1.3 to x = 1.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-2|(-5(1x^2 + 1x + 3) + 2) - 2| - 3) + 3| - 3 and g(x) = -5((-3(2cos(2πx + 2) - 3) - 2)/(-2(2cos(2πx + 2) - 3) - 3)) + 5 between the vertical lines x = -1.2 and x = -0.4. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = -3cos(3π(4((-3((-2x + 3)/(3x)) - 3)/(-1((-2x + 3)/(3x)) - 1))^2 - 5((-3((-2x + 3)/(3x)) - 3)/(-1((-2x + 3)/(3x)) - 1)) + 2) - 3) - 2, g(x) = -5((2(3x^2 + 4x - 5) + 1)/(-1(3x^2 + 4x - 5) + 2))^2 - 2((2(3x^2 + 4x - 5) + 1)/(-1(3x^2 + 4x - 5) + 2)) + 4, x = -2.2, and x = 0.8. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|((2(2(-1x^2 + 5x + 3)^2 - 4) + 2)/(1(2(-1x^2 + 5x + 3)^2 - 4) + 2)) - 1| - 1 and g(x) = (1(2e^(-2(3|x - 1|)) - 2) + 2)/(2(2e^(-2(3|x - 1|)) - 2) - 1) between the vertical lines x = -0.8 and x = -0.7000000000000001. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-3(-1e^(-1(-4(3x^2 + 2x + 3)^2 + 4(3x^2 + 2x + 3) - 2)) - 3) - 1)/(1(-1e^(-1(-4(3x^2 + 2x + 3)^2 + 4(3x^2 + 2x + 3) - 2)) - 3)), g(x) = -1((-1(-2|x + 2| + 2) - 3)/(2(-2|x + 2| + 2) + 2))^2 - 4((-1(-2|x + 2| + 2) - 3)/(2(-2|x + 2| + 2) + 2)), x = -3.4, and x = -0.6. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2((-1((-2(-1x - 2) - 3)/(2(-1x - 2) + 1)) - 1)/(2((-2(-1x - 2) - 3)/(2(-1x - 2) + 1)) - 3)) - 1 and g(x) = -1(3sin(2π(2|x + 3| - 3)) + 1)^2 - 4(3sin(2π(2|x + 3| - 3)) + 1) + 2 from x = -2.5 to x = -2.2. Round to 1 decimal place.

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