[User]
Find the area of the region bounded by the curves f(x) = -2|(3((-2(-4x^2 + 2x - 4) - 2)/(3(-4x^2 + 2x - 4) + 1))^2 + 3((-2(-4x^2 + 2x - 4) - 2)/(3(-4x^2 + 2x - 4) + 1)) + 1)| - 1, g(x) = -5(-1cos(2π(-3|x - 1| + 1) - 1) + 1)^2 + 1(-1cos(2π(-3|x - 1| + 1) - 1) + 1) + 2, x = -4.9, and x = -4.7. 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) = (3(-3(4(-2|x - 3| + 1)^2 - 5(-2|x - 3| + 1) + 1) - 2) + 3)/(-1(-3(4(-2|x - 3| + 1)^2 - 5(-2|x - 3| + 1) + 1) - 2) - 1) and g(x) = -5(1|((3x + 2)/(-2x + 3)) - 2| - 1)^2 - 4(1|((3x + 2)/(-2x + 3)) - 2| - 1) + 1 between the vertical lines x = -0.2 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(2|((-2(-3|x - 3| + 1) + 3)/(1(-3|x - 3| + 1))) + 3|) + 4 and g(x) = 5(2cos(3π(-5x + 5) + 3) + 3) between the vertical lines x = -3.0 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(1((3(3sin(3πx + 2)) + 1)/(1(3sin(3πx + 2)) + 1)) + 4) + 3, g(x) = -3(-2e^(1((-1x - 1)/(-1x + 3))) + 2) - 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]
Find the area of the region bounded by the curves f(x) = -2((3(4((-2x - 1)/(-1x))^2 + 5) - 3)/(-3(4((-2x - 1)/(-1x))^2 + 5) - 3))^2 - 5((3(4((-2x - 1)/(-1x))^2 + 5) - 3)/(-3(4((-2x - 1)/(-1x))^2 + 5) - 3)) + 2, g(x) = 1((-1(-1|x - 3| + 3) - 1)/(2(-1|x - 3| + 3) + 1))^2 + 2((-1(-1|x - 3| + 3) - 1)/(2(-1|x - 3| + 3) + 1)) - 4, x = -0.6, 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) = 1(-3(-5(3x - 3) + 4) - 3)^2 - 5(-3(-5(3x - 3) + 4) - 3) + 4, g(x) = -1e^(-2(2|(2|x| - 2) + 1|)), 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) = -2(-1|(-2(-3|x| - 1)^2 + 2) - 1| + 3) and g(x) = (-2(2cos(1π((1x + 1)/(-2x + 3)) + 1) + 1) + 2)/(-1(2cos(1π((1x + 1)/(-2x + 3)) + 1) + 1) - 1) 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]
Find the area of the region bounded by the curves f(x) = -1|(3(1(1x^2 + 5x - 1) - 3) - 5) + 1| - 3, g(x) = -4(1|((2x - 3)/(1x)) + 1| - 1)^2 + 1, x = -4.3, and x = -2.7. 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) = 5(3|(-2sin(3π((-3x - 1)/(-3x - 1)) - 2) - 1) - 2| + 2) + 4, g(x) = -4(-3|(-5x^2 + 2x - 1) - 3|) + 2, x = -0.6, 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) = -1((1((-2(2|x - 1| - 3) + 2)/(-1(2|x - 1| - 3) + 2)) - 2)/(1((-2(2|x - 1| - 3) + 2)/(-1(2|x - 1| - 3) + 2)))) and g(x) = 2|(-5(-1|x| - 3) - 5) - 1| + 1 between the vertical lines x = -1.0 and 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) = (-2(-2cos(2π(-5(-3x^2 + 5x)^2 - 4(-3x^2 + 5x) + 2) - 1) - 1))/(-2(-2cos(2π(-5(-3x^2 + 5x)^2 - 4(-3x^2 + 5x) + 2) - 1) - 1) - 1), g(x) = 4(-3(-2cos(3πx - 3) + 2) + 5) - 3, x = -0.5, 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) = 5((-2(4(-5x - 5)^2 - 5(-5x - 5) + 5) - 1)/(-2(4(-5x - 5)^2 - 5(-5x - 5) + 5) - 3)) + 3 and g(x) = 1(-3|(-2x^2 - 5x - 3) + 3|)^2 + 2(-3|(-2x^2 - 5x - 3) + 3|) - 2 between the vertical lines x = -2.8 and x = -2.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3(4(1|(3cos(3πx + 1) + 3)| - 1)^2 - 3(1|(3cos(3πx + 1) + 3)| - 1) - 4) + 4 and g(x) = -5(1((-2x - 2)/(3x - 2))^2 + 5((-2x - 2)/(3x - 2)) - 3)^2 - 3(1((-2x - 2)/(3x - 2))^2 + 5((-2x - 2)/(3x - 2)) - 3) + 2 from x = -1.3 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) = -3((-3(-5(-3sin(3πx + 1) - 2) + 2) - 3)/(3(-5(-3sin(3πx + 1) - 2) + 2) - 1))^2 - 2((-3(-5(-3sin(3πx + 1) - 2) + 2) - 3)/(3(-5(-3sin(3πx + 1) - 2) + 2) - 1)) + 3 and g(x) = 2sin(1π(3|((2x - 2)/(-3x + 2)) - 1| + 2) - 3) - 1 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|(-1(-2e^(-1(2|x - 3| - 2)) - 3) - 4) + 1| and g(x) = -4(1|((2x - 2)/(2x + 3)) - 2| - 3)^2 + 1(1|((2x - 2)/(2x + 3)) - 2| - 3) between the vertical lines x = 2.8 and 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) = -2e^(-1((-3(-5(5x^2 - 5x - 3)^2 + 5(5x^2 - 5x - 3) - 2) - 1)/(2(-5(5x^2 - 5x - 3)^2 + 5(5x^2 - 5x - 3) - 2) + 2))) + 3 and g(x) = (-2(-2|(1sin(1πx + 2) - 3) + 1| + 2) - 3)/(3(-2|(1sin(1πx + 2) - 3) + 1| + 2) + 3) between the vertical lines x = -2.5 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((2((-1(2cos(3πx + 2) - 1) + 2)/(-2(2cos(3πx + 2) - 1) - 3)) + 1)/(3((-1(2cos(3πx + 2) - 1) + 2)/(-2(2cos(3πx + 2) - 1) - 3)) + 1)) - 3)/(1((2((-1(2cos(3πx + 2) - 1) + 2)/(-2(2cos(3πx + 2) - 1) - 3)) + 1)/(3((-1(2cos(3πx + 2) - 1) + 2)/(-2(2cos(3πx + 2) - 1) - 3)) + 1)) + 2) and g(x) = -1(2|(4x^2 + 1x - 3) + 2| + 2)^2 - 4(2|(4x^2 + 1x - 3) + 2| + 2) + 5 from x = -0.1 to x = 0.4. 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(1|(1|x - 3|) - 2| + 3) - 1)/(-2(1|(1|x - 3|) - 2| + 3) - 1)) + 1, g(x) = 1(1|((3x - 1)/(2x + 2)) - 3| + 1) - 4, x = -1.3, 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((1(1|((-1x - 1)/(-1x - 3)) - 2| - 3) - 1)/(3(1|((-1x - 1)/(-1x - 3)) - 2| - 3) + 1)) + 3, g(x) = -1cos(2π(1((1x - 2)/(-1x + 3)) + 1) - 2) - 3, x = -3.6, 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) = 5(5(2(1x + 3)^2 - 1(1x + 3) - 1) + 5)^2 + 2(5(2(1x + 3)^2 - 1(1x + 3) - 1) + 5) - 5 and g(x) = 2cos(3π(5(3|x - 2| + 3) - 5)) + 3 between the vertical lines x = -3.2 and x = -2.3. 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|(4(1(-1sin(3πx - 2) + 1)^2 - 3(-1sin(3πx - 2) + 1) - 5)^2 + 5(1(-1sin(3πx - 2) + 1)^2 - 3(-1sin(3πx - 2) + 1) - 5) - 3) - 2| + 2, g(x) = 5(4(-3x)^2 + 5) - 2, x = -0.8, and x = 0.9. 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) = -2(-1sin(2π(-3(3x^2 + 4x + 4) - 5) + 3)) and g(x) = -2sin(1π(-1(1x^2 - 4x + 3) + 2) + 1) between the vertical lines x = -4.5 and x = -4.4. 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|(-3cos(2π(1(3|x - 3| - 2)^2 - 5(3|x - 3| - 2) - 4) - 3) - 2) + 1| + 2, g(x) = (2(2e^(1(2|x + 3| + 3)) + 3) - 2)/(-1(2e^(1(2|x + 3| + 3)) + 3)), x = -2.3, and x = -2.1999999999999997. 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(5(2(3|x - 2| + 3)^2 - 2(3|x - 2| + 3) - 4)^2 - 4(2(3|x - 2| + 3)^2 - 2(3|x - 2| + 3) - 4) + 3)) + 2 and g(x) = 1|((2((3x - 2)/(-3x)) - 1)/(-2((3x - 2)/(-3x)) + 3)) + 1| + 3 between the vertical lines x = -0.1 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) = -2(-1|(-2|(-2x^2 + 1x - 3) - 1| + 3) - 2|) + 4 and g(x) = 1((3((-2x - 1)/(2x - 1)))/(-3((-2x - 1)/(2x - 1)) - 1))^2 + 4((3((-2x - 1)/(2x - 1)))/(-3((-2x - 1)/(2x - 1)) - 1)) - 4 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]
Calculate the area enclosed between the functions f(x) = 1(-2|(4(2e^(1x) - 3)^2 + 3(2e^(1x) - 3) + 2) + 3| - 2) + 2 and g(x) = 1(-2|((3x + 1)/(3x - 2))| + 2)^2 + 5(-2|((3x + 1)/(3x - 2))| + 2) - 5 from x = 0.3 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) = (-2(2sin(2π((2(-1x) - 1)/(-1(-1x) + 2)) + 3) - 1) + 2)/(-3(2sin(2π((2(-1x) - 1)/(-1(-1x) + 2)) + 3) - 1) - 3) and g(x) = 4((3(1cos(2πx + 1) + 2))/(2(1cos(2πx + 1) + 2) - 1))^2 + 2((3(1cos(2πx + 1) + 2))/(2(1cos(2πx + 1) + 2) - 1)) + 4 from x = -0.5 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) = 2|(-2(-3|(-2cos(2πx + 3) - 1) + 3|)^2) + 2| and g(x) = (2((-2(-1sin(3πx) + 1))/(-2(-1sin(3πx) + 1) - 3)) + 1)/(2((-2(-1sin(3πx) + 1))/(-2(-1sin(3πx) + 1) - 3)) - 1) between the vertical lines x = -2.9 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) = -2(-1(-1(2|x| - 2)) - 1) - 1 and g(x) = -1(1|((1x - 3)/(-1x + 3)) + 2| + 3) - 1 from x = -2.5 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|((2((2(-5x^2 - 1x - 2))/(2(-5x^2 - 1x - 2) + 1)) + 3)/(3((2(-5x^2 - 1x - 2))/(2(-5x^2 - 1x - 2) + 1)) + 1)) + 3| - 3 and g(x) = -3(3|((1x + 3)/(-1x)) - 1| - 3) + 5 between the vertical lines x = -2.0 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((-2(-5(2x^2 - 1x - 2) - 1) + 3)/(-1(-5(2x^2 - 1x - 2) - 1) - 3))^2 - 2((-2(-5(2x^2 - 1x - 2) - 1) + 3)/(-1(-5(2x^2 - 1x - 2) - 1) - 3)) + 3, g(x) = 2((-1(-3x^2 + 3x + 4))/(1(-3x^2 + 3x + 4) - 2)), x = -0.6, and x = -0.0. 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((-2(-1sin(2π((-3x - 2)/(-3x - 2)) + 1) - 3) - 2)/(-3(-1sin(2π((-3x - 2)/(-3x - 2)) + 1) - 3) - 2)) - 2)/(-2((-2(-1sin(2π((-3x - 2)/(-3x - 2)) + 1) - 3) - 2)/(-3(-1sin(2π((-3x - 2)/(-3x - 2)) + 1) - 3) - 2)) - 1), g(x) = 1(-4(-3|x - 2| + 2) + 5) + 2, x = 1.8, 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) = (-2(-2((-1(4x + 4) + 3)/(3(4x + 4) - 1)) - 5) - 1)/(2(-2((-1(4x + 4) + 3)/(3(4x + 4) - 1)) - 5) - 1) and g(x) = -2sin(1π((3(-2x^2 + 4x + 3) - 1)/(3(-2x^2 + 4x + 3))) - 3) - 2 between the vertical lines x = -0.5 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) = (-2(-3|(3|(-2sin(3πx + 3) + 2) - 3| - 3)| + 2) - 2)/(2(-3|(3|(-2sin(3πx + 3) + 2) - 3| - 3)| + 2) + 3) and g(x) = -2cos(2π((3(-5x^2 + 2x + 1) - 1)/(2(-5x^2 + 2x + 1) + 1)) + 2) + 2 from x = 3.0 to x = 3.1. 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(2(-1(-1x^2 - 5x + 1) + 3) - 3) + 2 and g(x) = (3(1cos(1π(-2|x + 2| - 1) + 3) + 1) + 2)/(-1(1cos(1π(-2|x + 2| - 1) + 3) + 1)) between the vertical lines x = -2.4 and 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) = -3((2(1|(2x - 1) - 2| - 2) + 2)/(2(1|(2x - 1) - 2| - 2) - 1)) + 4 and g(x) = -1|(-1((-1x - 2)/(2x)) - 3) - 1| - 2 from x = 0.1 to x = 3.1. 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(2|(-3cos(3π(-3x^2 + 4x - 3) - 1) + 1) + 2| - 2) - 1, g(x) = 4((-1(-2sin(1πx - 2) + 1) - 1)/(3(-2sin(1πx - 2) + 1) + 2))^2 + 1((-1(-2sin(1πx - 2) + 1) - 1)/(3(-2sin(1πx - 2) + 1) + 2)) - 2, 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) = 2|(-3((2(-2|x - 3| + 1) - 1)/(2(-2|x - 3| + 1) + 3)) - 5) + 3| - 1, g(x) = -4((-1(5x^2 + 5x + 3) - 3)/(-2(5x^2 + 5x + 3) - 2))^2 - 2((-1(5x^2 + 5x + 3) - 3)/(-2(5x^2 + 5x + 3) - 2)) + 5, x = 3.3, 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) = 4(1(3e^(-2((1x - 1)/(3x - 2))) - 3) - 3)^2 + 3(1(3e^(-2((1x - 1)/(3x - 2))) - 3) - 3) + 2 and g(x) = 1(1(-2x^2 + 3) + 5)^2 - 1(1(-2x^2 + 3) + 5) + 1 from x = 1.0 to 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) = -3sin(2π(-2(-2((2x - 2)/(1x))^2 + 3((2x - 2)/(1x)) + 1) - 4) + 2) - 3 and g(x) = (-1(1|(-2|x - 1| - 2) - 2| - 3) + 1)/(2(1|(-2|x - 1| - 2) - 2| - 3) - 1) between the vertical lines x = -0.3 and x = -0.19999999999999998. 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((1(-4(-3x^2 + 1x + 2)^2 - 2(-3x^2 + 1x + 2) + 1) - 1)/(3(-4(-3x^2 + 1x + 2)^2 - 2(-3x^2 + 1x + 2) + 1) - 2)) - 4, g(x) = (3(-2sin(1π(-2x^2 - 2x + 4) + 2) + 1) + 1)/(2(-2sin(1π(-2x^2 - 2x + 4) + 2) + 1) - 1), x = 0.6, 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) = (-3(2(2|((-1x + 2)/(3x + 2)) + 3|)^2 + 2(2|((-1x + 2)/(3x + 2)) + 3|) + 1) + 2)/(-3(2(2|((-1x + 2)/(3x + 2)) + 3|)^2 + 2(2|((-1x + 2)/(3x + 2)) + 3|) + 1)) and g(x) = 5(3(-5x^2 + 5x + 3) - 4)^2 - 1(3(-5x^2 + 5x + 3) - 4) - 2 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]
Calculate the area enclosed between the functions f(x) = (1(3cos(3π(2(2x^2 - 1x + 5) - 3))) - 1)/(-3(3cos(3π(2(2x^2 - 1x + 5) - 3))) + 4) and g(x) = -1(3|((-2x + 1)/(-3x + 1)) - 1|) + 5 from x = 1.5 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) = (3(2cos(1π(2|(-5x^2 - 2x - 5) + 1| + 2) + 1) + 3) + 1)/(-1(2cos(1π(2|(-5x^2 - 2x - 5) + 1| + 2) + 1) + 3) + 2) and g(x) = (3(4(-1sin(1πx + 1) - 1) - 2))/(1(4(-1sin(1πx + 1) - 1) - 2) + 2) from x = -2.3 to x = -2.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(1(1sin(3π((-1x)/(-1x)) - 1) + 2)^2 + 4(1sin(3π((-1x)/(-1x)) - 1) + 2) - 2))/(-1(1(1sin(3π((-1x)/(-1x)) - 1) + 2)^2 + 4(1sin(3π((-1x)/(-1x)) - 1) + 2) - 2) - 2) and g(x) = 1(3sin(1π(-1x + 2) - 2) - 1)^2 - 2(3sin(1π(-1x + 2) - 2) - 1) - 4 between the vertical lines x = -2.6 and 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|(3sin(1π(5x^2 - 3x - 4) + 2) + 3) - 3| + 2) + 2)/(2(-1|(3sin(1π(5x^2 - 3x - 4) + 2) + 3) - 3| + 2) - 1) and g(x) = (1(2|((1x - 1)/(1x)) - 2| - 1) - 1)/(-2(2|((1x - 1)/(1x)) - 2| - 1) - 2) between the vertical lines x = 4.0 and x = 4.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (2((-3(-3cos(3π(-2x - 2) - 2)) + 3)/(3(-3cos(3π(-2x - 2) - 2)) - 2)) - 2)/(-2((-3(-3cos(3π(-2x - 2) - 2)) + 3)/(3(-3cos(3π(-2x - 2) - 2)) - 2)) + 3), g(x) = 3cos(1π(3(3x^2 + 3x - 3)^2 - 4(3x^2 + 3x - 3))) + 1, x = 2.0, and x = 2.1. 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) = 1|(-1|(-2|(4x^2 - 4x - 1) + 2| + 3) - 1| + 1) + 1| and g(x) = (2(1|((-3x + 1)/(1x + 1)) - 3| - 3) - 3)/(-3(1|((-3x + 1)/(1x + 1)) - 3| - 3) - 3) between the vertical lines x = 1.2 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(-3sin(2π((2x + 1)/(3x)) - 3) - 1) + 1)/(1(-3sin(2π((2x + 1)/(3x)) - 3) - 1))) - 1)/(3((3(-3sin(2π((2x + 1)/(3x)) - 3) - 1) + 1)/(1(-3sin(2π((2x + 1)/(3x)) - 3) - 1))) - 2) and g(x) = 3(3(2x - 3) + 1)^2 - 4(3(2x - 3) + 1) - 4 between the vertical lines x = 1.2 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) = (3(-2|(3sin(2π((-1x - 1)/(-2x + 1))) + 1) + 2| + 3) - 1)/(-3(-2|(3sin(2π((-1x - 1)/(-2x + 1))) + 1) + 2| + 3) + 2), g(x) = -2(5(2x - 5)) - 3, x = 2.4, 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) = 1(-2|(-2sin(3π((-3x - 2)/(3x + 1))) - 1) - 2| + 3) - 4, g(x) = -4(-1e^(2((1x - 3)/(2x + 1))) + 3) + 3, x = -0.2, 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(-2cos(2π(2(-1x - 2) - 2) + 2) + 3) + 1)/(-1(-2cos(2π(2(-1x - 2) - 2) + 2) + 3)) and g(x) = -2(1(-3|x + 2| + 2)^2 + 4(-3|x + 2| + 2) - 2) between the vertical lines x = -4.3 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) = -2e^(-2(1(3|((1x - 1)/(3x + 3))| - 3)^2 + 2(3|((1x - 1)/(3x + 3))| - 3) + 5)) + 2, g(x) = -1(1|(-2|x - 1|) + 2| - 1)^2 - 4(1|(-2|x - 1|) + 2| - 1) + 1, x = 0.4, 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) = -1|(-1((3(-2x^2 + 1x - 3) + 1)/(3(-2x^2 + 1x - 3) - 2)) + 5) - 2| - 1 and g(x) = 2((-3(4x^2 - 2) + 1)/(-2(4x^2 - 2))) + 1 between the vertical lines x = -0.7 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) = -2cos(1π((-2(1(-3|x + 2| - 1) + 3) + 2)/(-1(1(-3|x + 2| - 1) + 3) - 3)) + 1), g(x) = (3((-3((-3x - 2)/(3x - 2)) + 1)/(-1((-3x - 2)/(3x - 2)) + 3)) - 2)/(2((-3((-3x - 2)/(3x - 2)) + 1)/(-1((-3x - 2)/(3x - 2)) + 3)) + 2), x = -3.8, and x = -3.6999999999999997. 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((-3x - 1)/(2x + 1)) - 5))/(-2(-1((-3x - 1)/(2x + 1)) - 5) - 2)) - 5, g(x) = -3((3(-3|x + 2| + 3) - 3)/(2(-3|x + 2| + 3)))^2 - 3((3(-3|x + 2| + 3) - 3)/(2(-3|x + 2| + 3))) - 4, x = -2.8, 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) = (-3(-3(-1(-3x - 2)^2 - 1(-3x - 2) - 3)^2 - 3) + 2)/(-2(-3(-1(-3x - 2)^2 - 1(-3x - 2) - 3)^2 - 3) - 2) and g(x) = (-3((-2(4x^2 - 1x - 4) + 2)/(2(4x^2 - 1x - 4) + 2)) + 1)/(-1((-2(4x^2 - 1x - 4) + 2)/(2(4x^2 - 1x - 4) + 2)) - 1) from x = -0.8 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) = -1(-5((-2(-5x^2 + 3x - 2) + 1)/(-3(-5x^2 + 3x - 2) + 1)) + 2) + 4 and g(x) = 4(3(-3sin(1πx) + 1)^2 - 2(-3sin(1πx) + 1) + 1)^2 + 5(3(-3sin(1πx) + 1)^2 - 2(-3sin(1πx) + 1) + 1) - 3 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) = 3sin(3π(4(-1|((3x - 2)/(-2x + 3))| + 2)^2 + 5(-1|((3x - 2)/(-2x + 3))| + 2) + 3) + 2), g(x) = 2cos(2π((-3(-1|x - 1| + 3) + 3)/(3(-1|x - 1| + 3) + 1))) - 2, x = -2.8, and x = -2.6999999999999997. 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|(-1sin(2π(1(-2x^2 - 1x + 1)^2 - 5(-2x^2 - 1x + 1) + 2) + 1) + 1) + 1| - 1, g(x) = -3(-3|(-1|x - 2| - 3) + 3| + 1)^2 - 1(-3|(-1|x - 2| - 3) + 3| + 1) + 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]
Calculate the area enclosed between the functions f(x) = (-2(-3e^(-1(4(3x + 2) - 1))) - 3)/(1(-3e^(-1(4(3x + 2) - 1)))) and g(x) = -1(-1(-2cos(2πx - 2) + 3) + 1) - 3 from x = -3.5 to 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) = -2sin(3π(-5(-1(-2x - 5)^2 + 1(-2x - 5) + 1)^2 - 5(-1(-2x - 5)^2 + 1(-2x - 5) + 1) - 4) - 2) + 1, g(x) = -2cos(3π(-3(-3|x - 2| + 2) - 2) + 2) + 2, x = -1.0, 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(3cos(1π(1(1x + 1) - 3) - 1) - 3))/(2(3cos(1π(1(1x + 1) - 3) - 1) - 3) + 1) and g(x) = 1|(-4(2x + 2)^2 + 5(2x + 2) - 3) + 3| + 2 from x = -1.5 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) = -1(3sin(2π(-3((1x + 1)/(1x - 2))^2 - 2((1x + 1)/(1x - 2))) + 3) - 2) - 5 and g(x) = 5((-2((2x + 3)/(-1x - 3)) - 3)/(-1((2x + 3)/(-1x - 3)) + 3))^2 + 1((-2((2x + 3)/(-1x - 3)) - 3)/(-1((2x + 3)/(-1x - 3)) + 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) = 1(3(4(3x^2 + 3x - 1) + 1)^2 - 5(4(3x^2 + 3x - 1) + 1) + 1) - 1, g(x) = -1cos(1π(-3(-3|x + 2| - 3)) + 2) + 2, x = -1.2, 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) = 1sin(2π(2((3((-3x - 2)/(-1x)) - 3)/(-2((-3x - 2)/(-1x)) - 3)) - 4) + 3) + 2 and g(x) = -1(-1(5x^2 + 1x - 3) + 3)^2 - 4(-1(5x^2 + 1x - 3) + 3) + 4 from x = 1.0 to 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) = 4(3(-3cos(2π((2x - 2)/(-2x)) - 3) + 1) - 4) + 2 and g(x) = 3sin(1π(-2|((-1x)/(-2x + 1))| - 1) - 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) = (-3(2(1sin(2π(2|x - 2| + 2) + 3) - 1) + 3) - 3)/(-2(2(1sin(2π(2|x - 2| + 2) + 3) - 1) + 3) + 3) and g(x) = (-2((-1(-2x^2 - 3x - 2) - 2)/(3(-2x^2 - 3x - 2) - 2)) + 3)/(2((-1(-2x^2 - 3x - 2) - 2)/(3(-2x^2 - 3x - 2) - 2)) + 1) from x = -2.3 to x = -1.9. 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) = -2cos(2π(2(4(5x + 3) - 3)^2 - 2(4(5x + 3) - 3) + 4) + 1) + 3 and g(x) = (2(5((3x - 3)/(-1x - 2))^2 + 5((3x - 3)/(-1x - 2))) - 3)/(2(5((3x - 3)/(-1x - 2))^2 + 5((3x - 3)/(-1x - 2)))) 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) = 3|(-5(-4(1x^2 - 3x + 1) + 4) - 2) - 3| + 1 and g(x) = 2|((2(-1|x - 3|) + 3)/(-2(-1|x - 3|))) + 2| - 2 between the vertical lines x = 2.9 and x = 3.2. 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|(3sin(1π(-2|(1x^2 + 4x - 5) - 1| + 3) - 2) - 3) - 2| and g(x) = -5(-2sin(1π(5x^2 + 1x - 1)) + 1) - 4 from x = -1.1 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(-3cos(1π(-1x^2 + 4x + 1) + 3)))/(2(-3cos(1π(-1x^2 + 4x + 1) + 3)) + 2)) + 3)/(-2((2(-3cos(1π(-1x^2 + 4x + 1) + 3)))/(2(-3cos(1π(-1x^2 + 4x + 1) + 3)) + 2))) and g(x) = 2|(1|(-1e^(-1x) + 1) - 1| + 2) - 1| - 1 from x = -3.9 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) = -2((3(3(-2x^2 + 1x + 4) + 3) + 1)/(-1(3(-2x^2 + 1x + 4) + 3) + 2)) + 4, g(x) = 3sin(3π((-1(-1|x - 3| - 2) + 1)/(-1(-1|x - 3| - 2) - 3)) - 3) - 1, x = 1.8, and x = 1.9000000000000001. 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(3cos(3π(1|((1x - 3)/(1x + 3))| - 1) + 1) + 1)^2 - 5(3cos(3π(1|((1x - 3)/(1x + 3))| - 1) + 1) + 1) - 4, g(x) = -1(-1|(-2sin(1πx)) - 1| - 1) - 3, x = -2.8, 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) = 3(3|(3|((1x + 1)/(-2x + 3)) + 1| + 2) - 2| - 1)^2 - 4(3|(3|((1x + 1)/(-2x + 3)) + 1| + 2) - 2| - 1) + 4, g(x) = 2e^(1(-2|(3x + 2)|)) + 3, x = 3.2, 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) = (1(5(-1sin(2π(-1x - 3) + 2) + 1) - 1) - 3)/(1(5(-1sin(2π(-1x - 3) + 2) + 1) - 1)) and g(x) = (-2(1((3x + 2)/(1x - 2)) + 2))/(3(1((3x + 2)/(1x - 2)) + 2) - 2) between the vertical lines x = -4.8 and x = -4.1. 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(4(1|(-2sin(2πx) - 2)| - 2)^2 - 1(1|(-2sin(2πx) - 2)| - 2) - 3) - 5 and g(x) = -3sin(1π(4((-1x - 3)/(-1x + 2))^2 - 3((-1x - 3)/(-1x + 2)) + 4) + 1) + 2 from x = 1.4 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) = -5(-2e^(-2((-3(-1|x - 3|) - 3)/(1(-1|x - 3|) - 2)))) + 3 and g(x) = 3|(-3cos(3π(1x^2 - 1x + 1) + 2)) - 3| - 3 from x = 3.2 to x = 3.3000000000000003. 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(2π(-2|((-3x - 3)/(1x))| - 2)) - 3) - 2| - 2 and g(x) = 2e^(2(1(3|x + 2| + 3)^2 - 4(3|x + 2| + 3) - 5)) - 1 between the vertical lines x = -2.7 and 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(-3cos(3π((-1(2|x + 3|) - 1)/(3(2|x + 3|) - 1)) - 2)) + 2 and g(x) = 1(1(3x^2 + 2) - 5)^2 - 2(1(3x^2 + 2) - 5) - 1 from x = 0.4 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) = -2(-3cos(1π(-4(3x^2 + 1x - 1) + 5) + 1) - 1) + 3, g(x) = -2(-4(2x^2 - 1x - 3)^2 + 1(2x^2 - 1x - 3) - 1)^2 + 4, x = 1.5, 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) = (-3((3(2e^(-1(1x^2 - 5x + 5)) - 2) - 3)/(2(2e^(-1(1x^2 - 5x + 5)) - 2))) - 1)/(2((3(2e^(-1(1x^2 - 5x + 5)) - 2) - 3)/(2(2e^(-1(1x^2 - 5x + 5)) - 2))) + 3), g(x) = -5(5(3x + 1) + 2)^2 + 1(5(3x + 1) + 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) = -3|(-2sin(3π(3|(2x - 2) - 1| + 1) + 3) + 1) - 2| + 1 and g(x) = -3cos(2π(-2(1x^2 - 2) + 2) + 2) - 3 from x = 0.6 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) = -4((1(-5(4x^2 - 1x - 3)^2 - 2(4x^2 - 1x - 3) + 4) + 2)/(2(-5(4x^2 - 1x - 3)^2 - 2(4x^2 - 1x - 3) + 4) - 1))^2 + 5((1(-5(4x^2 - 1x - 3)^2 - 2(4x^2 - 1x - 3) + 4) + 2)/(2(-5(4x^2 - 1x - 3)^2 - 2(4x^2 - 1x - 3) + 4) - 1)) - 2, g(x) = 2(4(-4x^2 - 1x)^2 + 4(-4x^2 - 1x) + 1)^2 - 5(4(-4x^2 - 1x)^2 + 4(-4x^2 - 1x) + 1) + 1, x = 0.3, 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) = (1((2(5(2|x - 2| - 1) - 2) - 3)/(-1(5(2|x - 2| - 1) - 2) + 2)) + 1)/(3((2(5(2|x - 2| - 1) - 2) - 3)/(-1(5(2|x - 2| - 1) - 2) + 2)) + 3), g(x) = 3(-3(3sin(3πx + 2) + 2) + 5)^2 - 4(-3(3sin(3πx + 2) + 2) + 5), x = -4.9, and x = -4.800000000000001. 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|(1cos(2π(2|((-1x + 1)/(3x - 2)) - 1| + 3) + 2) - 3) - 3| and g(x) = -2(4(-4x)^2 + 2(-4x) + 2) + 3 from x = -0.2 to x = 0.4. 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) = 3(2(-3|(-2|x + 2|)|)^2 + 4(-3|(-2|x + 2|)|) + 4)^2 + 1(2(-3|(-2|x + 2|)|)^2 + 4(-3|(-2|x + 2|)|) + 4) - 1, g(x) = -1((-2(1sin(2πx + 3) + 2) - 2)/(2(1sin(2πx + 3) + 2) - 3)) - 3, x = -1.9, 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) = 4(-1cos(2π((1(2|x + 3|) + 1)/(-1(2|x + 3|) - 2)) + 1) + 1)^2 + 5(-1cos(2π((1(2|x + 3|) + 1)/(-1(2|x + 3|) - 2)) + 1) + 1) - 3, g(x) = 1((2(3sin(2πx + 1) + 1))/(1(3sin(2πx + 1) + 1) - 2)) - 5, x = -0.1, 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) = -4(2cos(1π((-1((1x + 3)/(-2x - 3)) - 2)/(1((1x + 3)/(-2x - 3)) + 1)) + 3) + 1)^2 - 3(2cos(1π((-1((1x + 3)/(-2x - 3)) - 2)/(1((1x + 3)/(-2x - 3)) + 1)) + 3) + 1) - 3, g(x) = 5(-5((-3x - 3)/(-1x - 1)) + 5) + 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) = 5(-2(-3(-1|x + 3| + 2)) - 4) - 2, g(x) = 2|(-5((3x)/(-3x - 3)) + 2) + 2| + 2, x = -3.5, 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) = -1|((-2(-5(-1x^2 + 3x + 4)^2 - 1(-1x^2 + 3x + 4) + 2))/(2(-5(-1x^2 + 3x + 4)^2 - 1(-1x^2 + 3x + 4) + 2) + 1)) - 3| - 2 and g(x) = 4(1(2|x - 3|)^2 - 4) - 4 between the vertical lines x = 3.9 and x = 4.0. 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(-3cos(3π(-3|(-5x^2 + 4x - 3) - 2| + 2) + 2) + 1) + 1)/(3(-3cos(3π(-3|(-5x^2 + 4x - 3) - 2| + 2) + 2) + 1) + 2), g(x) = 3|(5(-4x - 2) - 3)|, x = -0.7, 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) = (3(1(2|((-3x)/(-2x + 3)) - 2| - 3) + 2) - 3)/(-1(1(2|((-3x)/(-2x + 3)) - 2| - 3) + 2)) and g(x) = (-2((-2(1cos(1πx - 1) - 2) - 1)/(-1(1cos(1πx - 1) - 2) - 3)) - 2)/(1((-2(1cos(1πx - 1) - 2) - 1)/(-1(1cos(1πx - 1) - 2) - 3))) from x = -2.0 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) = -4(2((-3((-2x - 1)/(2x)) + 3)/(-2((-2x - 1)/(2x)) - 2)) + 2)^2 + 3(2((-3((-2x - 1)/(2x)) + 3)/(-2((-2x - 1)/(2x)) - 2)) + 2) - 1 and g(x) = -2|(1sin(2π((1x - 2)/(-2x - 3)))) + 2| - 2 between the vertical lines x = -0.5 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) = (-3(-1(-3|(-2x^2 + 5x - 3) - 1| - 3) - 5))/(1(-1(-3|(-2x^2 + 5x - 3) - 1| - 3) - 5) - 2) and g(x) = 3(-2|(-1sin(1πx - 2) - 1) - 1| + 1) - 3 between the vertical lines x = 0.7 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) = -3|(-1sin(1π(1|(4x^2 - 3) - 1| + 3) + 2) - 1) - 2| + 3 and g(x) = (2(2(2e^(-2x) - 2)^2 - 1(2e^(-2x) - 2) - 5) + 2)/(3(2(2e^(-2x) - 2)^2 - 1(2e^(-2x) - 2) - 5)) from x = -0.3 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((-1((-2(-1x^2 + 4x + 3) + 1)/(2(-1x^2 + 4x + 3) + 1)) + 3)/(-1((-2(-1x^2 + 4x + 3) + 1)/(2(-1x^2 + 4x + 3) + 1)) - 3)) + 4, g(x) = -1|(-2(-1sin(1πx - 2) - 2) + 4)| - 3, x = -0.8, 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) = 2e^(1(-5(-1(1x + 3)^2 - 1(1x + 3) - 5)^2 - 4(-1(1x + 3)^2 - 1(1x + 3) - 5) - 3)), g(x) = 2sin(3π(5(2x^2 - 1x - 3)^2 - 3(2x^2 - 1x - 3)) + 1) + 2, x = 2.0, and x = 2.1. 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(1(-1(-3sin(2πx + 2) + 1) - 4)^2 + 3(-1(-3sin(2πx + 2) + 1) - 4) - 5) - 4 and g(x) = (2((1(1e^(1x) - 1))/(-3(1e^(1x) - 1) + 4)) - 1)/(1((1(1e^(1x) - 1))/(-3(1e^(1x) - 1) + 4))) between the vertical lines x = 2.7 and 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) = (1(-2|(2((-3x + 3)/(1x + 3))^2 - 3((-3x + 3)/(1x + 3)) - 2) + 3| + 3) - 3)/(1(-2|(2((-3x + 3)/(1x + 3))^2 - 3((-3x + 3)/(1x + 3)) - 2) + 3| + 3) - 2) and g(x) = -1|(-4(1x^2 - 3x - 5)^2 + 1(1x^2 - 3x - 5)) + 1| + 2 between the vertical lines x = 4.2 and x = 4.3. 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|(1(5x + 3)^2) - 3| - 1) - 3)/(-2(3|(1(5x + 3)^2) - 3| - 1) - 1) and g(x) = 1|(1|((-3x - 3)/(-3x))| - 1) - 3| + 3 between the vertical lines x = -0.9 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) = -3cos(3π((-1(-4((2x - 1)/(-1x - 1))^2 - 3((2x - 1)/(-1x - 1)) - 3) + 3)/(-1(-4((2x - 1)/(-1x - 1))^2 - 3((2x - 1)/(-1x - 1)) - 3) - 1)) + 1) + 1, g(x) = 1(-2(-2|x - 3| + 3)^2 - 2(-2|x - 3| + 3) + 3) + 3, x = 0.6, and x = 0.7. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (1(-4(3sin(1π(2|x - 3| + 3) + 3) - 2)^2 + 3) + 3)/(-2(-4(3sin(1π(2|x - 3| + 3) + 3) - 2)^2 + 3) - 1) and g(x) = (-3(-3(2x^2 - 2x - 1)^2 - 5(2x^2 - 2x - 1) - 2) + 1)/(2(-3(2x^2 - 2x - 1)^2 - 5(2x^2 - 2x - 1) - 2)) from x = 2.7 to 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) = 2|((1(2|(4x^2 - 4) + 1| - 3))/(2(2|(4x^2 - 4) + 1| - 3) - 1)) - 1| + 2, g(x) = 3sin(2π(5(3|x - 1| - 1) + 3) + 2) + 1, x = -0.1, and x = 0.0. 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(1(-5(-3x + 1) + 5)^2 + 4(-5(-3x + 1) + 5) - 1) + 2, g(x) = (-2(-4(3x - 2) + 2) + 2)/(-3(-4(3x - 2) + 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]
Determine the area of the region enclosed by the graphs of f(x) = -2e^(-1(3(3|(3|x - 1| + 3) + 3|) + 3)) and g(x) = 2(-2(-2|x| - 2) - 3) - 3 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(-4(-2(2|x + 1| - 1)^2 + 4(2|x + 1| - 1) + 3)^2 + 3(-2(2|x + 1| - 1)^2 + 4(2|x + 1| - 1) + 3) + 3) + 2)/(-3(-4(-2(2|x + 1| - 1)^2 + 4(2|x + 1| - 1) + 3)^2 + 3(-2(2|x + 1| - 1)^2 + 4(2|x + 1| - 1) + 3) + 3) + 4) and g(x) = 3((-1((-2x - 1)/(1x - 3)))/(1((-2x - 1)/(1x - 3)) - 3)) + 4 from x = -0.8 to 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|((-2(-3x^2 + 4x + 3))/(1(-3x^2 + 4x + 3) + 1)) + 2| - 1) + 1)/(2(-2|((-2(-3x^2 + 4x + 3))/(1(-3x^2 + 4x + 3) + 1)) + 2| - 1) + 3) and g(x) = -5(-2(1|x| - 3))^2 + 1(-2(1|x| - 3)) + 2 from x = -2.5 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|(-5(3(2|x - 3|)^2 + 4(2|x - 3|) - 4) + 4)| + 3 and g(x) = -1(-3(3x - 5)^2 - 2(3x - 5) + 5) + 5 from x = 2.5 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) = -1|(-5((3((1x - 3)/(3x - 2)) + 3)/(2((1x - 3)/(3x - 2)) - 1)) - 4) + 2| + 1 and g(x) = -1|(-2|((3x)/(1x + 2)) - 3| - 3) - 1| from x = -1.9 to x = 0.7. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1((-3(1(1e^(-1x) + 1) + 1))/(-2(1(1e^(-1x) + 1) + 1) - 1)) + 3)/(2((-3(1(1e^(-1x) + 1) + 1))/(-2(1(1e^(-1x) + 1) + 1) - 1)) + 2) and g(x) = 3(5(-4x)^2 + 4(-4x)) - 1 between the vertical lines x = -0.0 and x = 0.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(-3(-1e^(-2(2x + 2)) + 2)^2 + 4(-1e^(-2(2x + 2)) + 2) - 3))/(-1(-3(-1e^(-2(2x + 2)) + 2)^2 + 4(-1e^(-2(2x + 2)) + 2) - 3) + 2), g(x) = 2sin(3π(2|(1x^2 + 5x) + 3| + 1) + 1), x = 4.9, and x = 5.0. 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) = (3(-5(4(1e^(-2x) - 1) - 5) - 2) + 3)/(3(-5(4(1e^(-2x) - 1) - 5) - 2) + 1) and g(x) = -1((3(1x^2 - 4x - 2) + 3)/(-1(1x^2 - 4x - 2) + 3))^2 + 5((3(1x^2 - 4x - 2) + 3)/(-1(1x^2 - 4x - 2) + 3)) - 1 from x = 4.4 to x = 4.7. 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|(2cos(1π(-3|x + 3| + 3) - 2) + 3) - 1| - 2) - 2)/(3(2|(2cos(1π(-3|x + 3| + 3) - 2) + 3) - 1| - 2) - 2) and g(x) = -3(-3(-1x + 4)^2 - 3(-1x + 4) + 5) - 5 from x = 3.0 to x = 3.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2e^(-1(3(3|(-4x - 4) + 2| - 1) - 1)) + 1 and g(x) = -2sin(3π(-4((-1x - 2)/(1x))^2 - 2((-1x - 2)/(1x)) - 3) + 1) - 1 from x = 0.6 to 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(-1(1(-1x^2 - 3x + 3) - 1)^2 + 4(1(-1x^2 - 3x + 3) - 1) + 2)^2 - 5(-1(1(-1x^2 - 3x + 3) - 1)^2 + 4(1(-1x^2 - 3x + 3) - 1) + 2) - 3 and g(x) = 4((-2(1x^2 - 2x - 1) + 2)/(-3(1x^2 - 2x - 1) + 2))^2 - 2 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) = -3(-2|(-2(-3x^2 + 4x + 2)) + 1| + 2) + 1 and g(x) = (3(-1(4x - 4) + 2))/(-2(-1(4x - 4) + 2) - 1) 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]
Calculate the area enclosed between the functions f(x) = 2(-1(2|(-2|x - 2| + 3) - 1| - 2)^2 - 4(2|(-2|x - 2| + 3) - 1| - 2)) - 4 and g(x) = -1((-1(-2e^(2x) - 2) - 1)/(-2(-2e^(2x) - 2) + 3)) + 1 from x = 2.7 to x = 3.3. 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(-4(1(3x + 3) + 1)^2 + 1(1(3x + 3) + 1) + 3) - 4, g(x) = 1(-2sin(2π(-3|x - 3| + 3) + 1) + 2)^2 + 3(-2sin(2π(-3|x - 3| + 3) + 1) + 2) - 1, x = -1.8, 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) = 1|(3cos(3π((1(-5x + 2) + 2)/(-3(-5x + 2))) - 3) - 2)| - 3, g(x) = -4(-2cos(1π((3x + 2)/(-3x + 4)) - 2) + 3) + 4, x = 1.4, 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) = 3((-3(1cos(3π(-3x + 3) - 3) - 1) - 3)/(-2(1cos(3π(-3x + 3) - 3) - 1) + 3)) + 2, g(x) = (1(-2(-2|x - 3| + 1) + 1))/(1(-2(-2|x - 3| + 1) + 1) + 3), x = 1.1, and x = 1.2. 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) = 3|(3cos(3π(-3|(-5x + 5) + 3| - 1) - 1) - 3) + 2| - 3 and g(x) = 2(3|((3x - 2)/(-1x - 3)) - 2| + 1)^2 - 4(3|((3x - 2)/(-1x - 3)) - 2| + 1) - 5 between the vertical lines x = -1.2 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) = (-2(-5(-1|(5x^2 - 1x - 4) - 1| - 2)^2 + 2(-1|(5x^2 - 1x - 4) - 1| - 2) + 1) - 2)/(1(-5(-1|(5x^2 - 1x - 4) - 1| - 2)^2 + 2(-1|(5x^2 - 1x - 4) - 1| - 2) + 1) + 2) and g(x) = -3(-2sin(1π((-2x - 2)/(-2x + 1)) - 2) + 1) - 1 between the vertical lines x = -0.5 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(2sin(1π(3(-2x^2 + 2)^2 + 5(-2x^2 + 2) - 5)) + 1) + 3)/(-3(2sin(1π(3(-2x^2 + 2)^2 + 5(-2x^2 + 2) - 5)) + 1) + 2) and g(x) = 1sin(2π((-2((-1x - 2)/(3x + 2)) - 1)/(3((-1x - 2)/(3x + 2)) - 1)) - 1) from x = -0.4 to 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) = -1cos(2π((1(-1(-1x^2 - 4x) + 1) - 3)/(-1(-1(-1x^2 - 4x) + 1) + 2))) - 1 and g(x) = -3cos(1π((-1((1x + 3)/(-2x - 2)) - 2)/(-1((1x + 3)/(-2x - 2)))) + 3) - 2 between the vertical lines x = -3.3 and x = -3.1999999999999997. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2(-1cos(1π(-4(-3x^2 - 5x - 1) + 1) - 1) + 2)^2 + 4(-1cos(1π(-4(-3x^2 - 5x - 1) + 1) - 1) + 2) - 3, g(x) = -2|(1(2x - 5) - 2) - 3| - 1, x = 3.2, and x = 3.3000000000000003. 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) = 2sin(2π(1(-3(1x^2 - 4x + 1)^2 - 3(1x^2 - 4x + 1))^2 + 5(-3(1x^2 - 4x + 1)^2 - 3(1x^2 - 4x + 1)) - 1) - 3) + 1 and g(x) = -1(-3|((-3x + 2)/(-1x - 2)) + 1| + 3)^2 - 3(-3|((-3x + 2)/(-1x - 2)) + 1| + 3) - 2 from x = -0.5 to 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) = 3(3(1(-1sin(2πx + 1)) - 1) + 2)^2 - 1(3(1(-1sin(2πx + 1)) - 1) + 2) + 4, g(x) = 1(-1(-1x^2 + 4x - 1)^2 - 5(-1x^2 + 4x - 1) - 1)^2 + 5(-1(-1x^2 + 4x - 1)^2 - 5(-1x^2 + 4x - 1) - 1) - 3, x = -0.1, 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) = -1(-3(2sin(2π((-1x)/(3x + 3)) - 3) - 2) - 2) + 2 and g(x) = -1|(4(-1|x + 1|)^2 + 2(-1|x + 1|) - 3) + 3| + 3 from x = -1.0 to 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) = 2cos(3π(-2((-3((2x + 1)/(1x - 2)) - 1)/(-1((2x + 1)/(1x - 2)) + 3))^2 - 2((-3((2x + 1)/(1x - 2)) - 1)/(-1((2x + 1)/(1x - 2)) + 3)) + 2) - 2) + 2 and g(x) = 2|(1(-1e^(-2x) + 2) + 2) + 3| from x = -1.1 to x = -0.9. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5(1(3((-3x + 3)/(1x - 2)) + 4) + 2)^2 - 4(1(3((-3x + 3)/(1x - 2)) + 4) + 2) - 2 and g(x) = -1|(-1(5x + 5)^2 + 4(5x + 5) - 1) + 3| + 1 from x = -0.9 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) = 2sin(3π((-1(-3|(5x - 4) + 1| - 3) - 2)/(-3(-3|(5x - 4) + 1| - 3) - 1)) - 1) - 3, g(x) = -1cos(2π(5(-1x + 3)^2 - 2(-1x + 3) + 2) - 1) - 1, x = 1.8, and x = 1.9. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1sin(2π(2(-1(3x^2 + 1)^2 + 2(3x^2 + 1) - 4) + 2) - 3) - 3 and g(x) = 1(-3sin(2π(-1|x| + 2) - 3) - 3) + 1 from x = 3.1 to x = 3.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(-2(1(-3x + 3)^2 + 1(-3x + 3) - 4)^2 - 5(1(-3x + 3)^2 + 1(-3x + 3) - 4) + 3) - 2 and g(x) = -3(2(-2e^(-2x) + 2)^2 - 2(-2e^(-2x) + 2) + 3)^2 + 2(2(-2e^(-2x) + 2)^2 - 2(-2e^(-2x) + 2) + 3) + 2 from x = 0.4 to x = 2.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -5(-1sin(1π(5(-3x + 2) + 3) + 3) + 1) - 5 and g(x) = (-2((-2(-3|x + 3| + 3) + 2)/(3(-3|x + 3| + 3) - 1)) - 2)/(-1((-2(-3|x + 3| + 3) + 2)/(3(-3|x + 3| + 3) - 1)) + 2) from x = -3.8 to x = -2.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-1(-5(3|x + 1| - 3) + 4) - 3) - 3 and g(x) = (1((-2((-2x + 3)/(-1x + 2)) - 2)/(3((-2x + 3)/(-1x + 2)) - 2)) - 3)/(3((-2((-2x + 3)/(-1x + 2)) - 2)/(3((-2x + 3)/(-1x + 2)) - 2)) - 1) between the vertical lines x = -2.2 and x = 0.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3cos(2π((3(-4((-1x)/(-3x + 4))^2 + 2) + 2)/(1(-4((-1x)/(-3x + 4))^2 + 2) - 3)) - 3) + 2 and g(x) = -2sin(2π((-3(-3x + 1) - 3)/(1(-3x + 1) - 3)) - 1) + 1 between the vertical lines x = 0.9 and 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) = -1|(-2(-5((-2x)/(2x - 1)) + 5)^2 - 2(-5((-2x)/(2x - 1)) + 5))| + 1 and g(x) = 3sin(3π(4(-3|x - 2| - 3)^2 - 5(-3|x - 2| - 3) + 3) + 1) - 2 between the vertical lines x = 0.2 and x = 0.30000000000000004. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1((1(1|((3x - 1)/(3x + 3)) + 3| - 2) + 2)/(-2(1|((3x - 1)/(3x + 3)) + 3| - 2) - 1))^2 - 4((1(1|((3x - 1)/(3x + 3)) + 3| - 2) + 2)/(-2(1|((3x - 1)/(3x + 3)) + 3| - 2) - 1)), g(x) = 2(-3e^(-1(1|x - 2| - 2)) + 2)^2 + 1(-3e^(-1(1|x - 2| - 2)) + 2) + 1, x = -0.8, and x = -0.7000000000000001. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2|((-3((-2(-2sin(3πx + 2) + 2))/(2(-2sin(3πx + 2) + 2))))/(3((-2(-2sin(3πx + 2) + 2))/(2(-2sin(3πx + 2) + 2))) - 1)) + 2| + 1 and g(x) = -1|(1cos(1π(3|x + 1| + 1) - 2) - 1) - 1| from x = 0.3 to x = 0.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-1|((-3(3x^2 + 3x + 2) + 2)/(-3(3x^2 + 3x + 2) + 4)) - 1|)^2 - 5(-1|((-3(3x^2 + 3x + 2) + 2)/(-3(3x^2 + 3x + 2) + 4)) - 1|) + 5 and g(x) = 5(-1(2|x - 1| - 2)^2 - 1(2|x - 1| - 2) + 4)^2 - 3(-1(2|x - 1| - 2)^2 - 1(2|x - 1| - 2) + 4) + 3 between the vertical lines x = 2.6 and x = 2.8. 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((1(1x^2 + 5x + 5) - 1)/(-2(1x^2 + 5x + 5) - 2)) - 2)/(3((1(1x^2 + 5x + 5) - 1)/(-2(1x^2 + 5x + 5) - 2)) - 2)) + 4 and g(x) = -1(-1sin(1π((-1x - 3)/(-3x + 4)) - 2) + 3) - 3 between the vertical lines x = -3.5 and x = -1.5. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(1(-1|(-1x^2 + 2x + 5) + 3| + 2)^2 - 4(-1|(-1x^2 + 2x + 5) + 3| + 2) + 5) - 1)/(-1(1(-1|(-1x^2 + 2x + 5) + 3| + 2)^2 - 4(-1|(-1x^2 + 2x + 5) + 3| + 2) + 5)) and g(x) = 2(1(-1x - 5) + 3) - 2 between the vertical lines x = -1.9 and x = -1.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1((2(2(3|x| + 3) - 2) + 3)/(-1(2(3|x| + 3) - 2) + 2)) - 2)/(-2((2(2(3|x| + 3) - 2) + 3)/(-1(2(3|x| + 3) - 2) + 2)) - 3) and g(x) = -2|(3(1|x| - 3)^2 + 4(1|x| - 3) - 1) + 2| + 3 from x = 1.6 to x = 3.1. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-1(3e^(2(2|x| - 2)) - 1)^2 + 5(3e^(2(2|x| - 2)) - 1)) + 5 and g(x) = (-3(1sin(2π((-3x)/(-2x - 1)) - 3) - 1) + 2)/(-2(1sin(2π((-3x)/(-2x - 1)) - 3) - 1) + 3) between the vertical lines x = 0.7 and x = 1.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(1((-3(1|x + 2| - 1) - 3)/(1(1|x + 2| - 1)))^2 + 5((-3(1|x + 2| - 1) - 3)/(1(1|x + 2| - 1))) - 2)^2 - 5(1((-3(1|x + 2| - 1) - 3)/(1(1|x + 2| - 1)))^2 + 5((-3(1|x + 2| - 1) - 3)/(1(1|x + 2| - 1))) - 2) + 1 and g(x) = 3cos(1π(-1((2x - 2)/(-2x))^2 + 1((2x - 2)/(-2x)) - 4) + 3) - 3 from x = 0.2 to x = 0.30000000000000004. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1|(-5(-4(3|x| - 1)^2 - 3(3|x| - 1) + 1) + 3) - 1| - 3, g(x) = -4(1((-3x + 1)/(1x - 3))^2 + 4((-3x + 1)/(1x - 3)) - 2) + 4, x = 2.5, and x = 3.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3sin(1π(2((3(1x^2 + 4x - 4) - 1)/(-1(1x^2 + 4x - 4) + 2))^2 + 1((3(1x^2 + 4x - 4) - 1)/(-1(1x^2 + 4x - 4) + 2)) + 2) - 1) - 2 and g(x) = (2(-1|(2x^2 + 5x - 1) - 3| + 1) + 1)/(3(-1|(2x^2 + 5x - 1) - 3| + 1) + 2) from x = -4.5 to x = -4.3. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(1((1((-2x + 2)/(3x + 2)) + 1)/(-1((-2x + 2)/(3x + 2)) + 3)) - 2) - 1)/(-2(1((1((-2x + 2)/(3x + 2)) + 1)/(-1((-2x + 2)/(3x + 2)) + 3)) - 2) - 2) and g(x) = (-2(1(1|x + 2| - 3) + 2))/(-3(1(1|x + 2| - 3) + 2) - 2) between the vertical lines x = -1.4 and x = -0.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-1(-2(1|x - 1| + 3)^2 - 5(1|x - 1| + 3) - 5)^2 + 3(-2(1|x - 1| + 3)^2 - 5(1|x - 1| + 3) - 5) - 2))/(2(-1(-2(1|x - 1| + 3)^2 - 5(1|x - 1| + 3) - 5)^2 + 3(-2(1|x - 1| + 3)^2 - 5(1|x - 1| + 3) - 5) - 2) - 1) and g(x) = 2(-3cos(3π(-3x + 4) + 2) - 2)^2 - 5(-3cos(3π(-3x + 4) + 2) - 2) + 1 between the vertical lines x = -0.3 and x = -0.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-3|(-2(-4x + 1)^2 - 2(-4x + 1) + 1) - 3| + 3)^2 - 4(-3|(-2(-4x + 1)^2 - 2(-4x + 1) + 1) - 3| + 3) + 2 and g(x) = (-2(4(-5x - 1) - 5))/(2(4(-5x - 1) - 5) - 1) between the vertical lines x = 0.3 and x = 0.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3((1((-1((1x - 2)/(-1x + 2)) + 2)/(1((1x - 2)/(-1x + 2)) + 1)) + 3)/(3((-1((1x - 2)/(-1x + 2)) + 2)/(1((1x - 2)/(-1x + 2)) + 1)) - 2))^2 + 2((1((-1((1x - 2)/(-1x + 2)) + 2)/(1((1x - 2)/(-1x + 2)) + 1)) + 3)/(3((-1((1x - 2)/(-1x + 2)) + 2)/(1((1x - 2)/(-1x + 2)) + 1)) - 2)) - 1 and g(x) = -1(-1e^(-2(-2|x + 1| + 3)))^2 - 4(-1e^(-2(-2|x + 1| + 3))) + 4 from x = -2.9 to 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(-2|(-3(-2e^(-2x) + 3) - 2) + 3| + 2) + 1 and g(x) = -1(-2(-1e^(-1x) + 3)^2 + 3(-1e^(-1x) + 3) - 1) - 4 from x = -0.2 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) = (1(3sin(3π((1(4x + 1) + 2)/(2(4x + 1) - 1)) - 3) + 2))/(2(3sin(3π((1(4x + 1) + 2)/(2(4x + 1) - 1)) - 3) + 2) + 2) and g(x) = (1(-5(-2|x - 2| - 1)^2 + 3(-2|x - 2| - 1) + 4) + 3)/(-2(-5(-2|x - 2| - 1)^2 + 3(-2|x - 2| - 1) + 4) + 3) from x = -0.4 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) = 2|(2(-2((2x + 1)/(-3x - 3))^2 - 2((2x + 1)/(-3x - 3)) + 4) - 2) + 3| and g(x) = 5(2sin(1π(2|x + 1| - 3) - 1) - 2)^2 - 3(2sin(1π(2|x + 1| - 3) - 1) - 2) + 5 between the vertical lines x = -2.1 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) = -1(-2(2|(-5x + 1) + 2| - 2)^2 + 1(2|(-5x + 1) + 2| - 2))^2 - 5(-2(2|(-5x + 1) + 2| - 2)^2 + 1(2|(-5x + 1) + 2| - 2)) - 4, g(x) = -1(3|(-1e^(-1x) - 1) - 1| + 3)^2 - 3(3|(-1e^(-1x) - 1) - 1| + 3) + 5, x = 0.1, 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(-4(1(4x^2 - 1x + 2)^2 - 4) + 5) + 1, g(x) = 2(-1|(-3cos(3πx + 3) + 1) + 3| - 1)^2 - 2, x = 0.3, 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) = -3(3|(4(1|x - 2| - 3) - 2) - 3| - 1) - 1, g(x) = -2cos(1π(-2|(-1|x - 1| + 2) + 1|) + 3) - 1, x = -2.4, 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) = (3(3(1|((-3x + 2)/(1x)) - 2| - 3) + 1) + 3)/(-1(3(1|((-3x + 2)/(1x)) - 2| - 3) + 1) + 3) and g(x) = (-2(-2|(-2|x - 2| + 1)| + 1) + 1)/(-1(-2|(-2|x - 2| + 1)| + 1) - 1) from x = 0.2 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) = 1((2(-3(1|x - 3| - 1) + 3) + 1)/(3(-3(1|x - 3| - 1) + 3) + 1)) + 2 and g(x) = -2(-1(3sin(3πx + 3)))^2 + 4 from x = -4.0 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) = 5(2|(1(1x + 2) + 1) + 1| - 3)^2 - 4 and g(x) = -3((-1(2|x - 2| - 1) + 1)/(2(2|x - 2| - 1) + 2)) - 2 between the vertical lines x = -2.9 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) = 2(1cos(2π(-5(-5x^2 - 3x)^2 + 5(-5x^2 - 3x) - 2) + 3) + 2)^2 + 1(1cos(2π(-5(-5x^2 - 3x)^2 + 5(-5x^2 - 3x) - 2) + 3) + 2) - 3 and g(x) = 2|(-2(5x + 1) + 3) + 1| + 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]
Find the area of the region bounded by the curves f(x) = -5(-2(3(-2x))^2 - 5(3(-2x)) - 4)^2 - 4(-2(3(-2x))^2 - 5(3(-2x)) - 4) - 3, g(x) = -3|((3(4x^2 - 4) + 1)/(2(4x^2 - 4) - 1)) - 3| - 1, x = 0.1, 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|((2(3(-5x^2 + 3x + 4) + 4) - 1)/(3(3(-5x^2 + 3x + 4) + 4))) - 3| - 1, g(x) = -1((-1(5x - 2) + 3)/(1(5x - 2) + 2)) + 4, x = -0.7, 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) = 1(3|(-1((2x + 2)/(1x - 2)) - 2) - 2| - 2)^2 + 1(3|(-1((2x + 2)/(1x - 2)) - 2) - 2| - 2) - 5 and g(x) = (3(-4(-3sin(3πx + 2) - 3)^2 - 5(-3sin(3πx + 2) - 3) - 2) - 1)/(1(-4(-3sin(3πx + 2) - 3)^2 - 5(-3sin(3πx + 2) - 3) - 2) + 3) from x = 0.7 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) = (2(-2(-3sin(3π(-4x + 3) - 1) + 1)^2 + 2(-3sin(3π(-4x + 3) - 1) + 1) - 1) - 3)/(-1(-2(-3sin(3π(-4x + 3) - 1) + 1)^2 + 2(-3sin(3π(-4x + 3) - 1) + 1) - 1) + 2) and g(x) = 2|(2|(1x^2 - 4x + 3) - 3| + 2) - 2| - 3 between the vertical lines x = 0.1 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(-3(3|(-2cos(2πx) - 1) + 1| + 3) - 5) and g(x) = 3(2|(-5x^2 + 5x - 3) + 2| + 3)^2 + 2(2|(-5x^2 + 5x - 3) + 2| + 3) + 5 from x = 0.3 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((1(-4(2|x + 2| + 2) + 2) + 1)/(-1(-4(2|x + 2| + 2) + 2) - 1)) + 3)/(1((1(-4(2|x + 2| + 2) + 2) + 1)/(-1(-4(2|x + 2| + 2) + 2) - 1)) - 3), g(x) = (2(1(-3x^2 + 3x + 1)^2 + 3(-3x^2 + 3x + 1) - 4) - 1)/(3(1(-3x^2 + 3x + 1)^2 + 3(-3x^2 + 3x + 1) - 4) + 1), x = -0.9, 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) = 3(2cos(2π(-3|(-2|x - 2| + 2) + 3| + 1) - 1) + 1)^2 - 1(2cos(2π(-3|(-2|x - 2| + 2) + 3| + 1) - 1) + 1) + 5 and g(x) = (-3((3(2|x + 2| + 2) - 1)/(-1(2|x + 2| + 2) - 1)) + 3)/(1((3(2|x + 2| + 2) - 1)/(-1(2|x + 2| + 2) - 1)) + 2) between the vertical lines x = -2.0 and x = -1.9. 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) = 2(-2sin(3π(1(1x^2 + 3x - 3)^2 + 3(1x^2 + 3x - 3) - 3) - 3) + 2)^2 + 5 and g(x) = (-2(-1|((3x + 1)/(1x + 3)) + 3| + 1) + 2)/(-1(-1|((3x + 1)/(1x + 3)) + 3| + 1)) between the vertical lines x = -1.9 and x = -1.3. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-2(-4((-2((-1x + 3)/(-2x + 1)) - 2)/(1((-1x + 3)/(-2x + 1))))^2 - 1((-2((-1x + 3)/(-2x + 1)) - 2)/(1((-1x + 3)/(-2x + 1))))) + 2)/(3(-4((-2((-1x + 3)/(-2x + 1)) - 2)/(1((-1x + 3)/(-2x + 1))))^2 - 1((-2((-1x + 3)/(-2x + 1)) - 2)/(1((-1x + 3)/(-2x + 1))))) - 2), g(x) = -3|(-2|((2x - 2)/(2x + 1)) - 3|) + 1| + 1, x = -1.7, and x = -1.3. 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|((2(3|x - 1| - 1) + 3)/(-2(3|x - 1| - 1) + 3)) - 1| - 3) + 3 and g(x) = 1|(1sin(2π(-1x + 3) + 2) - 2) + 2| + 2 from x = 1.6 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|((-2((1(-1|x| + 3) + 2)/(-3(-1|x| + 3) - 1)) - 1)/(-1((1(-1|x| + 3) + 2)/(-3(-1|x| + 3) - 1)) + 2)) - 1| - 1 and g(x) = (2(4(-2e^(-2x) + 3)) - 2)/(-2(4(-2e^(-2x) + 3)) + 3) from x = 3.1 to x = 3.2. 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|(4((2(2sin(3πx - 1) + 1) - 2)/(1(2sin(3πx - 1) + 1) + 2)) + 2) - 1| + 2, g(x) = (1((-1((2x - 3)/(2x + 2)) + 1)/(-1((2x - 3)/(2x + 2)))) + 3)/(-3((-1((2x - 3)/(2x + 2)) + 1)/(-1((2x - 3)/(2x + 2)))) + 4), x = 4.1, 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) = -1sin(1π(2|(1|(-5x^2 - 4x)| + 2) + 2| - 2) - 2) + 1, g(x) = 1(-3((-1x + 3)/(2x + 1)) + 2) + 1, x = 1.3, and x = 1.4000000000000001. 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(4(-3(-2x + 4)^2 + 1(-2x + 4) - 5) + 1) + 2)/(3(4(-3(-2x + 4)^2 + 1(-2x + 4) - 5) + 1)) and g(x) = -3cos(1π(1|(5x^2 - 2) - 1| + 1) + 1) + 2 between the vertical lines x = -4.1 and x = -3.9999999999999996. 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(-3|(-5(3x) - 3) + 1| - 1)^2 + 5(-3|(-5(3x) - 3) + 1| - 1) - 2 and g(x) = (-2(-3|(1sin(2πx + 1) - 2) + 2|))/(-1(-3|(1sin(2πx + 1) - 2) + 2|) - 2) from x = -0.1 to x = -0.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3|(2(3|((-3x)/(1x + 1)) - 3| - 3)) - 2| + 3 and g(x) = 4(-1e^(-1(2x + 2)) - 2) + 5 from x = -0.6 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) = -2|(2(-2(5x - 1)^2 + 1(5x - 1) + 3) + 5) + 1| + 3 and g(x) = (3(4(-3x - 5) - 1) + 1)/(3(4(-3x - 5) - 1) - 2) from x = -0.1 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) = 2cos(2π((-3(-2|(-1|x - 1|) + 3| + 2) - 3)/(-3(-2|(-1|x - 1|) + 3| + 2) - 1))) and g(x) = (2(5(-2cos(3πx - 3) + 3) - 1) + 1)/(-1(5(-2cos(3πx - 3) + 3) - 1) - 2) 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) = (1(1|(1(-4x - 2)^2 + 5(-4x - 2) + 5) + 3|) - 1)/(2(1|(1(-4x - 2)^2 + 5(-4x - 2) + 5) + 3|) - 1) and g(x) = 1(-3(-3x - 2)^2 + 3(-3x - 2))^2 + 3(-3(-3x - 2)^2 + 3(-3x - 2)) - 5 from x = -1.3 to x = -0.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(3|(1(5x + 1)^2 - 5(5x + 1) - 3) - 1| + 3)^2 + 5(3|(1(5x + 1)^2 - 5(5x + 1) - 3) - 1| + 3) + 5 and g(x) = -5(3sin(3π(-2x^2 - 2x + 5) - 1)) - 1 from x = -0.4 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) = 5((-3((1(-5x - 2) + 3)/(-2(-5x - 2) - 3)))/(-1((1(-5x - 2) + 3)/(-2(-5x - 2) - 3)) + 2)) - 5 and g(x) = -3|(3sin(3π(1x^2 + 2x + 4) - 1) + 1)| + 1 between the vertical lines x = 3.6 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) = -1(-2(-2(-3x^2 + 3x + 3)^2 - 1(-3x^2 + 3x + 3) - 4) - 2) - 2 and g(x) = (2(3sin(2π(-5x^2 + 4x + 2) - 2)) - 1)/(1(3sin(2π(-5x^2 + 4x + 2) - 2)) - 2) from x = 0.5 to x = 0.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1|(5(3sin(2π(1x + 1)) - 1)^2 + 5(3sin(2π(1x + 1)) - 1) - 1) - 2| - 2, g(x) = (3(1|(-1cos(2πx - 3) - 3) + 3| + 3) + 2)/(1(1|(-1cos(2πx - 3) - 3) + 3| + 3) + 2), 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) = (-3(3cos(3π(-5(2|x + 1| - 2)^2 - 2(2|x + 1| - 2) + 3) + 2) + 1) + 2)/(1(3cos(3π(-5(2|x + 1| - 2)^2 - 2(2|x + 1| - 2) + 3) + 2) + 1) - 2), g(x) = (-2((1((1x - 1)/(3x - 2)) + 3)/(-1((1x - 1)/(3x - 2)) + 3)) - 1)/(-1((1((1x - 1)/(3x - 2)) + 3)/(-1((1x - 1)/(3x - 2)) + 3)) - 2), x = -4.8, and x = -4.7. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1((-3((-1(2sin(2πx + 3)) + 1)/(2(2sin(2πx + 3)) - 1)) + 1)/(1((-1(2sin(2πx + 3)) + 1)/(2(2sin(2πx + 3)) - 1)) - 3))^2 - 5((-3((-1(2sin(2πx + 3)) + 1)/(2(2sin(2πx + 3)) - 1)) + 1)/(1((-1(2sin(2πx + 3)) + 1)/(2(2sin(2πx + 3)) - 1)) - 3)), g(x) = (2(-3e^(2(1x^2 - 1x + 4)) + 2) + 3)/(-2(-3e^(2(1x^2 - 1x + 4)) + 2) - 2), x = -0.0, 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(4(-2|(1e^(2x) - 3) + 1| + 3)^2 + 2(-2|(1e^(2x) - 3) + 1| + 3) - 4) - 3)/(3(4(-2|(1e^(2x) - 3) + 1| + 3)^2 + 2(-2|(1e^(2x) - 3) + 1| + 3) - 4)), g(x) = -3sin(1π(-2|(1x + 3) - 1| - 1) - 1) + 2, x = 0.6, 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(1|(5((1x + 3)/(-2x + 3)) + 5) - 1| - 1)^2 - 2(1|(5((1x + 3)/(-2x + 3)) + 5) - 1| - 1) + 2, g(x) = -3|((2(-4x + 3))/(2(-4x + 3) + 3)) + 3|, x = 1.1, 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) = -5((1(2cos(1π(4x^2 - 1x + 2) + 3) - 3) - 3)/(-1(2cos(1π(4x^2 - 1x + 2) + 3) - 3))), g(x) = 1(3|(-5x^2 + 2x + 4) - 3| + 1) + 2, x = 1.1, and x = 1.2. 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) = -2sin(3π((2(-1(1|x| - 1) + 5) - 1)/(1(-1(1|x| - 1) + 5))) + 1) + 3 and g(x) = 1(-2|(1x^2 + 5x + 4) + 1| + 1)^2 + 5(-2|(1x^2 + 5x + 4) + 1| + 1) - 5 between the vertical lines x = -4.7 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(-2cos(3π((-2(-2|x - 2| + 3) - 3)/(3(-2|x - 2| + 3) - 2)) + 1) - 2) - 1)/(-2(-2cos(3π((-2(-2|x - 2| + 3) - 3)/(3(-2|x - 2| + 3) - 2)) + 1) - 2) + 3) and g(x) = -5((-1(1x + 4) + 2)/(-2(1x + 4) + 3))^2 + 1((-1(1x + 4) + 2)/(-2(1x + 4) + 3)) + 4 between the vertical lines x = -3.0 and x = -2.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3cos(1π(-1(3((-3x + 2)/(-3x - 2)) + 2)^2 + 5) - 3) - 2 and g(x) = -3|(-1e^(1(-4x + 2)) - 1)| - 1 from x = 2.4 to x = 2.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -5(4(5(-2cos(3πx + 3) + 2)^2 - 5(-2cos(3πx + 3) + 2) - 3) + 4) - 2, g(x) = 2|((2((2x - 1)/(-2x - 1)) - 3)/(2((2x - 1)/(-2x - 1)) - 3)) + 3| + 1, x = -1.8, 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) = -5((1(2e^(-1(1|x + 3| - 3)) - 2) + 1)/(-3(2e^(-1(1|x + 3| - 3)) - 2) + 1)) + 5 and g(x) = (-1(-3(-2cos(3πx - 1) - 1)^2 + 2(-2cos(3πx - 1) - 1) + 3) + 3)/(2(-3(-2cos(3πx - 1) - 1)^2 + 2(-2cos(3πx - 1) - 1) + 3) + 2) from x = -1.4 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) = (2(-1|(-4(-3x^2 + 5x - 2)^2 + 1(-3x^2 + 5x - 2) + 4) - 2| + 2) - 3)/(2(-1|(-4(-3x^2 + 5x - 2)^2 + 1(-3x^2 + 5x - 2) + 4) - 2| + 2)) and g(x) = 5(-2|(1|x + 2| + 1) + 1| - 2) + 4 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) = -2|(3cos(3π((-1(-1x + 3) - 1)/(-1(-1x + 3) - 2)) - 3) - 2) + 3| and g(x) = (-1(-3cos(1π(5x^2 + 5x - 2) - 2)) - 3)/(3(-3cos(1π(5x^2 + 5x - 2) - 2)) - 2) from x = -2.4 to x = -2.3. 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(2cos(2π(3((1x + 1)/(2x))^2 + 5) + 1)) - 4, g(x) = -5((-3(1x^2 - 5x + 3) + 2)/(3(1x^2 - 5x + 3) + 1)) - 4, x = -0.2, 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(4(2((2x - 3)/(-1x)) - 1)^2 - 5(2((2x - 3)/(-1x)) - 1) + 1) + 3 and g(x) = -4(1(-3|x - 3| + 1) - 4) + 1 from x = 0.7 to x = 1.9. 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) = -3sin(3π(-2|(1(-1x^2 - 5x) + 2) + 2| - 1) - 1) + 1, g(x) = -3cos(3π((-1((3x + 3)/(1x - 3)) - 3)/(2((3x + 3)/(1x - 3)))) + 1) + 3, x = -1.8, 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) = -4(-1cos(2π(-2|(-2|x - 3|)| - 3) - 3) - 2) - 4 and g(x) = -1e^(-2(5(5x + 1)^2 + 4(5x + 1) - 4)) + 1 between the vertical lines x = -1.0 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) = -4(4(2(-5x - 1)^2 - 4(-5x - 1) + 3) - 4) + 4 and g(x) = 1(-1|(2e^(2x) - 2) - 2|) + 3 from x = -0.5 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) = (1(-3|(3sin(1π(-1x^2 - 4x - 2) + 1) - 3) - 3| + 3) + 2)/(-3(-3|(3sin(1π(-1x^2 - 4x - 2) + 1) - 3) - 3| + 3) - 1) and g(x) = -3cos(3π((-2((-2x - 1)/(2x - 3)) - 1)/(-1((-2x - 1)/(2x - 3)))) - 1) between the vertical lines x = -3.2 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) = -4((-1(5(-4x - 1) + 3) - 3)/(-3(5(-4x - 1) + 3) - 2))^2 - 1((-1(5(-4x - 1) + 3) - 3)/(-3(5(-4x - 1) + 3) - 2)) and g(x) = 1(3|(2x - 3) + 2|)^2 + 4(3|(2x - 3) + 2|) - 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) = 4(-1|(3sin(1π(-4x^2 + 2x + 2) + 2)) - 1| - 1) - 2, g(x) = -2|(-3sin(3π(-4x^2 - 4x + 2) + 2) + 3) + 3| - 1, x = 3.0, and x = 3.1. 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(1(-3(-1x^2 + 3x + 2)^2 - 2(-1x^2 + 3x + 2) + 3)) - 2)/(3(1(-3(-1x^2 + 3x + 2)^2 - 2(-1x^2 + 3x + 2) + 3)) + 1), g(x) = -1(-1(1cos(2πx + 2) - 3)^2 - 4(1cos(2πx + 2) - 3) - 2) + 4, x = -0.9, 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(-2(2|((-2x - 1)/(-1x + 2)) + 3|))^2 + 4(-2(2|((-2x - 1)/(-1x + 2)) + 3|)) - 3 and g(x) = 1e^(-1(1(-3x^2 - 5)^2 + 4(-3x^2 - 5) + 3)) - 1 from x = 0.9 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) = 3cos(2π((3(-4((-2x - 3)/(-3x + 2))^2 - 4((-2x - 3)/(-3x + 2)) + 5) + 2)/(-3(-4((-2x - 3)/(-3x + 2))^2 - 4((-2x - 3)/(-3x + 2)) + 5) - 3))) - 3, g(x) = (3(-1|(-2x + 3) - 3| - 1) + 2)/(1(-1|(-2x + 3) - 3| - 1) + 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]
Determine the area of the region enclosed by the graphs of f(x) = (1(2|(3|(5x + 1) + 1| - 1)| - 3) - 2)/(-2(2|(3|(5x + 1) + 1| - 1)| - 3) - 3) and g(x) = -3sin(2π(1(-2x^2 - 4x + 3) - 1)) - 3 between the vertical lines x = 3.9 and x = 4.0. 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) = 3e^(1((3(-1(-1x^2 - 4x - 4)) - 3)/(2(-1(-1x^2 - 4x - 4)) + 1))) + 1, g(x) = 2|((2(-4x^2 - 3) - 1)/(-1(-4x^2 - 3) - 2)) + 2| + 2, x = -2.7, 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) = (-1(1(-3(2e^(1x) + 1)^2 - 5(2e^(1x) + 1)) + 2))/(-2(1(-3(2e^(1x) + 1)^2 - 5(2e^(1x) + 1)) + 2) - 3) and g(x) = -2|(3cos(2π(-5x - 1)))| + 3 from x = -1.8 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) = -2(-2sin(1π(-4((1x + 1)/(-2x + 3))^2 + 5) - 3) + 3)^2 - 2(-2sin(1π(-4((1x + 1)/(-2x + 3))^2 + 5) - 3) + 3) + 1 and g(x) = 5(-1(3x - 2)^2 + 2(3x - 2) + 1) - 4 between the vertical lines x = 1.6 and x = 1.7000000000000002. 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|(-1|((2(2x^2 + 5x + 5) - 1)/(3(2x^2 + 5x + 5) + 3)) + 1| - 3) + 3| and g(x) = -1(1(1x - 3)^2 + 5(1x - 3)) + 5 from x = -2.1 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(-3(-5(-3x^2 - 1x + 4) - 2)^2 - 3(-5(-3x^2 - 1x + 4) - 2) - 2)^2 + 2(-3(-5(-3x^2 - 1x + 4) - 2)^2 - 3(-5(-3x^2 - 1x + 4) - 2) - 2) + 2, g(x) = -1|(-1|(-3cos(3πx - 2) + 2) + 1| - 1) - 2|, x = -1.4, and x = -1.2999999999999998. 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(3sin(2π(1(-1|x + 3| - 2)^2 - 1(-1|x + 3| - 2) - 1) + 1) - 1) + 1 and g(x) = 2sin(3π(-3((2x + 1)/(-3x + 2)) + 2) + 3) + 3 from x = -4.8 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) = 4((2(1((-3x - 2)/(-1x + 2)) - 5))/(3(1((-3x - 2)/(-1x + 2)) - 5) + 1))^2 + 5((2(1((-3x - 2)/(-1x + 2)) - 5))/(3(1((-3x - 2)/(-1x + 2)) - 5) + 1)) - 1, g(x) = 4(3sin(1π(2x + 1) + 1) + 2)^2 - 5(3sin(1π(2x + 1) + 1) + 2) - 1, x = 1.3, 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) = (-2((-3(-3(-1|x - 2| - 3) - 5) - 2)/(1(-3(-1|x - 2| - 3) - 5) + 3)) - 1)/(-1((-3(-3(-1|x - 2| - 3) - 5) - 2)/(1(-3(-1|x - 2| - 3) - 5) + 3)) + 2) and g(x) = (2(2|(-2cos(1πx) - 2) + 3| + 1) - 2)/(2(2|(-2cos(1πx) - 2) + 3| + 1) - 1) between the vertical lines x = 1.5 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) = (-2(-2|(2(1x) + 2)| - 3) + 1)/(1(-2|(2(1x) + 2)| - 3) + 1) and g(x) = -2|(-5(-2|x| + 1) + 4) - 1| + 3 from x = -0.5 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(4((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2))^2 - 3((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2)) - 5) - 3)/(2(4((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2))^2 - 3((2(-2|x - 2| + 3) - 2)/(2(-2|x - 2| + 3) + 2)) - 5) - 1) and g(x) = (3(1|(-1x + 5) - 2| - 2) + 1)/(1(1|(-1x + 5) - 2| - 2) + 1) between the vertical lines x = 3.4 and x = 4.4. 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) = 5(-1(5(-2|x| + 2)^2 + 5(-2|x| + 2) + 4) + 5)^2 - 3(-1(5(-2|x| + 2)^2 + 5(-2|x| + 2) + 4) + 5) - 5, g(x) = (3((2((-1x - 3)/(-1x + 3)) - 2)/(1((-1x - 3)/(-1x + 3)) - 3)) + 3)/(2((2((-1x - 3)/(-1x + 3)) - 2)/(1((-1x - 3)/(-1x + 3)) - 3)) + 3), x = -1.0, 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(1(1|(1|x - 1| - 3) + 3| - 2) - 3) + 2)/(-3(1(1|(1|x - 1| - 3) + 3| - 2) - 3) + 2) and g(x) = -2((1((-1x - 1)/(-3x + 1)) + 1)/(1((-1x - 1)/(-3x + 1)))) - 3 from x = -4.7 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(2cos(1π(-4x^2 - 4x - 4) + 2) + 1)^2 + 3(2cos(1π(-4x^2 - 4x - 4) + 2) + 1) - 1) - 1| + 1, g(x) = 1((-2(3|x + 2| - 3) - 1)/(3(3|x + 2| - 3) + 1))^2 - 4((-2(3|x + 2| - 3) - 1)/(3(3|x + 2| - 3) + 1)) + 3, x = 4.1, and x = 4.199999999999999. 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(-1((1(-4x - 1) + 1)/(2(-4x - 1) + 1))^2 + 2((1(-4x - 1) + 1)/(2(-4x - 1) + 1)) - 1) - 5, g(x) = -1(2(2x - 4) + 3)^2 + 5(2(2x - 4) + 3) + 2, x = -0.1, 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) = 1(-3sin(3π(4(1|x + 2| + 2)^2 - 2(1|x + 2| + 2) + 1) - 1) + 1)^2 - 3(-3sin(3π(4(1|x + 2| + 2)^2 - 2(1|x + 2| + 2) + 1) - 1) + 1) + 2 and g(x) = (1((-1(2|x - 1| - 2))/(-2(2|x - 1| - 2) + 1)) - 3)/(-3((-1(2|x - 1| - 2))/(-2(2|x - 1| - 2) + 1)) - 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) = (-1(1|((-2(3|x - 3| - 3) + 2)/(-3(3|x - 3| - 3) - 2)) - 2| - 3) + 1)/(-2(1|((-2(3|x - 3| - 3) + 2)/(-3(3|x - 3| - 3) - 2)) - 2| - 3)), g(x) = 3(4(2|x + 1| - 1)^2 + 3(2|x + 1| - 1)) + 1, x = -1.1, and x = -0.9. 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) = (1(3(-3(-3|x - 1| - 3) + 5) + 5) - 2)/(-1(3(-3(-3|x - 1| - 3) + 5) + 5) - 2) and g(x) = 4(-1|(-2sin(2πx + 3) + 1)| + 1)^2 + 3(-1|(-2sin(2πx + 3) + 1)| + 1) - 1 between the vertical lines x = -3.2 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) = 2|(-1|((1(-2x + 3))/(1(-2x + 3) - 3)) + 1| + 1) + 1| + 2 and g(x) = 3|(-3(-2x - 3) + 4) + 3| + 2 from x = -2.7 to 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) = -1cos(2π(-1(-2|(-3|x + 1| + 3) + 2|) - 2)) - 3 and g(x) = 1(-2|(-1e^(2x) + 3) + 1|) + 5 from x = -1.7 to x = -1.6. 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(-1|(1|(-1|x - 1| - 1) - 1| - 1) + 3| - 1) + 2)/(-2(-1|(1|(-1|x - 1| - 1) - 1| - 1) + 3| - 1) + 3) and g(x) = -1(-1|(2x - 4) - 1| - 1)^2 - 4(-1|(2x - 4) - 1| - 1) + 3 between the vertical lines x = 0.7 and x = 4.3. 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|(-2|((-3(-1x^2 - 5x - 2) + 3)/(3(-1x^2 - 5x - 2) + 2))| + 2)| - 2 and g(x) = (2(3e^(-1(-1x^2 - 5x - 2)) - 2) - 3)/(3(3e^(-1(-1x^2 - 5x - 2)) - 2) - 2) from x = -4.6 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) = -4(3((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3))^2 + 4((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3)) - 4)^2 - 2(3((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3))^2 + 4((-1((3x + 2)/(-2x - 2)) - 1)/(-2((3x + 2)/(-2x - 2)) - 3)) - 4) - 1 and g(x) = -1|(3|(-2cos(1πx - 2) + 1) - 2| + 1)| from x = 3.7 to x = 4.2. 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((-3(-3|(-1e^(-1x) - 2) - 3| + 1) + 2)/(1(-3|(-1e^(-1x) - 2) - 3| + 1) + 3)) - 5, g(x) = -2(1sin(3π(-2x^2 + 1) + 3) + 2)^2 - 4(1sin(3π(-2x^2 + 1) + 3) + 2) + 2, x = -3.5, 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) = 3((3(-4(-1x^2 - 4x + 2) - 5) + 2)/(-2(-4(-1x^2 - 4x + 2) - 5) + 3))^2 + 4((3(-4(-1x^2 - 4x + 2) - 5) + 2)/(-2(-4(-1x^2 - 4x + 2) - 5) + 3)) - 4 and g(x) = (3(-2(-3e^(-1x) - 3) - 2) - 2)/(-3(-2(-3e^(-1x) - 3) - 2) + 4) from x = -4.7 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) = 2((-1((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) - 3)/(3((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) + 2))^2 + 2((-1((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) - 3)/(3((1(2x^2 - 4x - 1))/(3(2x^2 - 4x - 1))) + 2)), g(x) = -4(1(-2cos(1πx - 3) + 3) - 2) + 1, x = -4.7, 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) = (-2((1(-4(2e^(1x) - 1) - 2) + 3)/(-3(-4(2e^(1x) - 1) - 2) + 1)) - 2)/(-1((1(-4(2e^(1x) - 1) - 2) + 3)/(-3(-4(2e^(1x) - 1) - 2) + 1)) + 2), g(x) = (-1(2|(1sin(3πx - 2) + 1)| - 2) - 2)/(-2(2|(1sin(3πx - 2) + 1)| - 2) + 1), x = -1.7, 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(-1|((1(2x) - 1)/(2(2x) + 3)) - 1|) - 1, g(x) = -2cos(3π((-1((3x - 3)/(-2x - 3)) - 3)/(1((3x - 3)/(-2x - 3))))), x = -3.7, and x = -2.2. 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(1(-1(-3cos(3πx - 3) - 3)^2 - 1(-3cos(3πx - 3) - 3) - 4) - 3) - 3)/(2(1(-1(-3cos(3πx - 3) - 3)^2 - 1(-3cos(3πx - 3) - 3) - 4) - 3) - 1), g(x) = -4(1e^(1(-4x + 1)) - 3)^2 - 1(1e^(1(-4x + 1)) - 3) + 1, x = -0.0, 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(1(5(4x) + 1) - 5) - 2)/(-3(1(5(4x) + 1) - 5) + 4) and g(x) = 2|(-3(2sin(1πx - 2))^2 - 2(2sin(1πx - 2)) + 3) + 1| + 2 between the vertical lines x = 0.3 and 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(3cos(1π(1(-4x - 2) - 1) - 2) - 1)^2 + 5(3cos(1π(1(-4x - 2) - 1) - 2) - 1) - 1 and g(x) = -2|(-5(2x - 5) + 1) - 3| between the vertical lines x = 2.2 and x = 2.3000000000000003. 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|(2|((1x + 3)/(-3x + 1)) - 1| + 3)| + 2) + 3) + 3 and g(x) = 1sin(1π(2|((3x + 3)/(3x + 3)) + 3| + 1) - 1) + 1 between the vertical lines x = 0.1 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(-1|(-1|(1e^(1x) + 3) - 1|) + 3| + 3) + 2)/(3(-1|(-1|(1e^(1x) + 3) - 1|) + 3| + 3) - 1) and g(x) = 4((2((-1x)/(2x - 1)) - 1)/(-3((-1x)/(2x - 1)) + 4))^2 + 3((2((-1x)/(2x - 1)) - 1)/(-3((-1x)/(2x - 1)) + 4)) - 3 from x = 0.3 to x = 0.4. 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(-2|(3sin(2π(-2|x + 3| + 2) + 3) + 3)| + 2) + 4, g(x) = -2sin(3π(-2(1x - 2)^2 - 1(1x - 2) - 3) - 1) + 2, x = -0.0, 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) = 1(2|((-1(-1x^2) - 1)/(2(-1x^2) + 3)) + 2| - 3)^2 + 5(2|((-1(-1x^2) - 1)/(2(-1x^2) + 3)) + 2| - 3) + 3 and g(x) = 2(-2cos(3π(1|x + 3| - 1) - 2) + 2) - 2 between the vertical lines x = 2.4 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) = -2(3|(3((-1x + 2)/(-2x + 1))^2 - 2((-1x + 2)/(-2x + 1)) + 5) - 1| - 3) + 4, g(x) = -2((1(5x + 5) + 3)/(-2(5x + 5) + 3))^2 - 4((1(5x + 5) + 3)/(-2(5x + 5) + 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]
Determine the area of the region enclosed by the graphs of f(x) = 2e^(-1(2|(-2(2|x - 3|) + 1)| - 2)) - 1 and g(x) = 2((2(-2x^2 - 3x - 3) - 2)/(-1(-2x^2 - 3x - 3) + 2))^2 - 1((2(-2x^2 - 3x - 3) - 2)/(-1(-2x^2 - 3x - 3) + 2)) + 4 between the vertical lines x = 2.8 and x = 3.2. 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|((1(1((3x - 3)/(2x - 1))^2 - 5((3x - 3)/(2x - 1)) - 2))/(-3(1((3x - 3)/(2x - 1))^2 - 5((3x - 3)/(2x - 1)) - 2) - 3)) - 1| - 3 and g(x) = (1(-5(1cos(2πx)) - 1) + 3)/(-3(-5(1cos(2πx)) - 1) - 2) from x = 1.3 to x = 1.7. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(3sin(2π(-2|((-1x + 1)/(-1x - 2)) + 3| + 1) - 3) + 2) - 2 and g(x) = -1|(1|(2x^2 + 2x) - 1| - 1) - 2| between the vertical lines x = -2.3 and x = -2.1999999999999997. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3|(4(4((1x + 2)/(2x + 1))^2 - 4((1x + 2)/(2x + 1)) - 5)^2 + 1(4((1x + 2)/(2x + 1))^2 - 4((1x + 2)/(2x + 1)) - 5) + 5) - 1| + 3, g(x) = -3|(-3((-1x - 1)/(-3x - 1)) - 4) + 2| + 3, x = 0.1, and x = 0.2. 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(-1(-5(-5x + 1)^2 + 4(-5x + 1) + 5) + 1) + 2, g(x) = (1(3((-1x + 2)/(1x + 2))) + 2)/(-3(3((-1x + 2)/(1x + 2)))), x = -0.1, and x = 0.3. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1cos(2π(-4(-2|((-3x + 2)/(-1x + 2)) + 1| - 2)^2 - 2(-2|((-3x + 2)/(-1x + 2)) + 1| - 2) - 4) - 1), g(x) = -4(-2cos(1π((-1x + 2)/(-2x - 2)) + 2) + 2)^2 - 5(-2cos(1π((-1x + 2)/(-2x - 2)) + 2) + 2) + 4, x = -1.6, and x = -1.5. Round your answer to 1 decimal place.

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

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

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[User]
Find the area of the region bounded by the curves f(x) = 3|((1(-2|(-4x + 5) + 3| + 2) - 2)/(-3(-2|(-4x + 5) + 3| + 2) + 2)) - 3| - 2, g(x) = -3((-3(4x - 2) - 1)/(3(4x - 2) + 3)) + 1, x = 1.8, and x = 1.9. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 2(-2|(3(3x + 5) - 1)| + 3) - 3, g(x) = 3|(3sin(2π(2|x - 3|) - 3) - 1) + 3| - 3, x = -1.7, and x = -1.5. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3sin(1π((1((-1(1|x + 3| - 1) - 2)/(2(1|x + 3| - 1) - 1)))/(1((-1(1|x + 3| - 1) - 2)/(2(1|x + 3| - 1) - 1)) - 2)) - 1) + 1 and g(x) = 3sin(2π((3(-3|x - 3|) + 3)/(3(-3|x - 3|) - 1)) + 2) + 1 from x = -4.6 to x = -4.0. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(4(-1(1sin(3πx) - 2)) + 2)^2 + 5(4(-1(1sin(3πx) - 2)) + 2) + 5 and g(x) = -5(2(4x^2 - 2x - 3) + 2) - 4 between the vertical lines x = -3.4 and x = -3.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2(2|((-1(2x + 5) + 2)/(3(2x + 5) - 2)) - 3| + 3) + 3)/(1(2|((-1(2x + 5) + 2)/(3(2x + 5) - 2)) - 3| + 3)) and g(x) = -1|(-1|(-4x^2 - 5x + 3) - 2| + 1) + 1| + 1 from x = -2.0 to x = 0.7. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(3|(5(-1|x + 1| + 3)^2 - 2(-1|x + 1| + 3) - 1)| - 1) + 5 and g(x) = -1cos(3π((2((-2x)/(-1x + 2)) - 3)/(1((-2x)/(-1x + 2)) + 2)) + 3) + 2 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3cos(2π(-2((2((-2x - 1)/(1x)))/(1((-2x - 1)/(1x)) + 1))) + 2) + 3 and g(x) = -1cos(2π(1(2x - 5)^2 + 3(2x - 5) + 2) + 3) from x = -4.2 to x = -4.1000000000000005. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2e^(1((1(-4(-2|x - 2|) - 2) - 3)/(-2(-4(-2|x - 2|) - 2) - 2))) + 1 and g(x) = 1|((2(-2x^2 - 2x + 2) - 3)/(-1(-2x^2 - 2x + 2) + 2)) - 3| - 3 between the vertical lines x = -1.0 and x = 0.0. 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|(-5((2x - 1)/(2x + 2))^2 - 1((2x - 1)/(2x + 2)) - 1) + 2|) + 1)/(-3(1|(-5((2x - 1)/(2x + 2))^2 - 1((2x - 1)/(2x + 2)) - 1) + 2|) + 1) and g(x) = 3sin(2π(-2|(3x + 3) - 3| + 2) + 3) - 1 between the vertical lines x = -2.4 and x = -2.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(-3(-5((2x)/(-2x - 2)) - 4)^2 + 5(-5((2x)/(-2x - 2)) - 4) + 4) - 2)/(-3(-3(-5((2x)/(-2x - 2)) - 4)^2 + 5(-5((2x)/(-2x - 2)) - 4) + 4) + 1), g(x) = -5(5((-1x - 2)/(-2x - 3))^2 + 3((-1x - 2)/(-2x - 3)) - 3)^2 + 1(5((-1x - 2)/(-2x - 3))^2 + 3((-1x - 2)/(-2x - 3)) - 3) + 3, x = -1.7, and x = -1.6. 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) = -1(1|((2((1x - 3)/(1x)) + 2)/(3((1x - 3)/(1x)) + 3)) + 1| + 3) - 1 and g(x) = (-1((-3(2|x - 3| - 1) + 3)/(2(2|x - 3| - 1) + 3)) + 1)/(1((-3(2|x - 3| - 1) + 3)/(2(2|x - 3| - 1) + 3))) between the vertical lines x = 1.8 and x = 4.2. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1|((1(1(-5x^2 - 1x)^2 + 3(-5x^2 - 1x) - 1) + 2)/(2(1(-5x^2 - 1x)^2 + 3(-5x^2 - 1x) - 1))) - 2| + 3 and g(x) = 2(3cos(2π((-2x + 2)/(1x)) + 2) + 3) - 4 from x = -0.2 to x = -0.1. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2sin(1π(2|(-2((-1x - 3)/(-3x + 1)) + 5) - 2| - 2) + 1), g(x) = 3(2cos(3π(-3x - 5) - 2) + 1)^2 + 5(2cos(3π(-3x - 5) - 2) + 1) + 2, x = 4.8, and x = 4.8999999999999995. 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) = (-1(2|(-4(-1e^(1x) + 1)^2 + 1(-1e^(1x) + 1) + 2) + 2| + 2) + 3)/(3(2|(-4(-1e^(1x) + 1)^2 + 1(-1e^(1x) + 1) + 2) + 2| + 2) - 2) and g(x) = 1e^(1(-1(3x^2 - 4x - 3)^2 - 3(3x^2 - 4x - 3) + 1)) - 1 between the vertical lines x = -0.6 and x = 0.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2(3(-1(1|x - 1| - 2) + 1) + 2) - 3)/(-1(3(-1(1|x - 1| - 2) + 1) + 2) - 1) and g(x) = 1((2(3|x - 1| + 1) - 1)/(-2(3|x - 1| + 1) - 3)) + 1 from x = -2.2 to x = 4.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(1sin(2π(4(5x + 1)^2 - 5(5x + 1) + 3) - 1) + 3) + 1 and g(x) = 4((1(-4x + 5) - 2)/(3(-4x + 5) - 2)) - 3 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2cos(1π(1(-1(4x + 3))) - 2) - 2 and g(x) = -2(-4(-5x + 3)^2 + 5(-5x + 3) - 1)^2 - 3(-4(-5x + 3)^2 + 5(-5x + 3) - 1) - 3 from x = 0.3 to 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) = -3|(-1(4(4x^2 + 1x)^2 + 4(4x^2 + 1x) - 5) + 2) - 2| - 2, g(x) = -2((-1(-3|x + 3| + 3) - 2)/(-1(-3|x + 3| + 3) + 2)) - 5, x = -0.5, and x = 0.3. 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) = 3sin(3π(-2(-2|((3x)/(-1x + 3)) + 2| - 1)^2 + 4(-2|((3x)/(-1x + 3)) + 2| - 1) - 2) - 2) - 3 and g(x) = (-1((-3((2x + 1)/(2x - 1)) + 3)/(3((2x + 1)/(2x - 1)))))/(3((-3((2x + 1)/(2x - 1)) + 3)/(3((2x + 1)/(2x - 1)))) - 2) between the vertical lines x = 2.4 and x = 2.5. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -2cos(1π((-2(1(-2x - 1)^2 - 2))/(-2(1(-2x - 1)^2 - 2) + 3)) - 1) and g(x) = 4(-5(-2|x| + 2) - 5)^2 + 3(-5(-2|x| + 2) - 5) - 1 from x = -1.5 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) = -1(3|(2|(-5x + 5) + 2| - 3)| - 3) + 2 and g(x) = 3sin(1π((-2((2x + 2)/(3x + 1)) + 1)/(2((2x + 2)/(3x + 1)) + 3)) + 3) - 2 between the vertical lines x = 1.5 and x = 1.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (2((-3(-3|((-2x)/(2x - 1)) + 1| + 1))/(2(-3|((-2x)/(2x - 1)) + 1| + 1) - 1)) + 3)/(1((-3(-3|((-2x)/(2x - 1)) + 1| + 1))/(2(-3|((-2x)/(2x - 1)) + 1| + 1) - 1)) - 2) and g(x) = 1e^(-2(2|(5x) + 1| + 3)) + 3 between the vertical lines x = -2.1 and x = 3.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1|(1e^(1((-1(-1x^2 - 2x) + 3)/(2(-1x^2 - 2x) + 3))) + 3) - 2| + 1, g(x) = 3cos(3π(1(2x^2 - 4)^2 + 2(2x^2 - 4) - 1) + 1), x = 3.2, and x = 3.3. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1(3(-5(2x - 3)^2 + 4(2x - 3) - 1)^2 - 5(-5(2x - 3)^2 + 4(2x - 3) - 1) - 2) + 4 and g(x) = -2(4(1x - 3) - 1) - 2 from x = 1.5 to x = 1.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(4(4(-1|x + 3|)^2 - 1(-1|x + 3|) - 2) + 5) + 1| + 3 and g(x) = 4(3sin(2π(-5x^2 - 1x - 3) + 3) + 2) + 2 between the vertical lines x = -3.2 and x = -3.1. Round to 1 decimal place.

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