[User]
Find the area of the region bounded by the curves f(x) = (-1(3|(4(-2e^(-1(-1(5x + 2) - 3)) + 1)^2 - 2(-2e^(-1(-1(5x + 2) - 3)) + 1) - 4) - 2| - 3) + 1)/(3(3|(4(-2e^(-1(-1(5x + 2) - 3)) + 1)^2 - 2(-2e^(-1(-1(5x + 2) - 3)) + 1) - 4) - 2| - 3) + 1), g(x) = -2|(-4((2(-2cos(1π(1x^2 - 2x + 2) + 2) - 2) + 3)/(2(-2cos(1π(1x^2 - 2x + 2) + 2) - 2) + 2))^2 + 4) - 2| + 1, x = -3.3, and x = -3.1999999999999997. 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) = 2(-2(-1sin(1π(-1(-1((-2x - 2)/(3x - 2))^2 + 3((-2x - 2)/(3x - 2)) + 5)^2 - 1(-1((-2x - 2)/(3x - 2))^2 + 3((-2x - 2)/(3x - 2)) + 5) - 1) - 1) - 3) + 5)^2 - 1(-2(-1sin(1π(-1(-1((-2x - 2)/(3x - 2))^2 + 3((-2x - 2)/(3x - 2)) + 5)^2 - 1(-1((-2x - 2)/(3x - 2))^2 + 3((-2x - 2)/(3x - 2)) + 5) - 1) - 1) - 3) + 5) + 5 and g(x) = 4(-1(-1(1(3x^2 - 5x - 5) - 3)^2 + 4(1(3x^2 - 5x - 5) - 3) + 5) - 1) - 2 between the vertical lines x = -0.4 and x = -0.30000000000000004. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1(-4(-3sin(3π(-2(3(5x - 3)^2 - 3(5x - 3) - 2)^2 - 3(3(5x - 3)^2 - 3(5x - 3) - 2) - 5)) + 2)^2 + 1(-3sin(3π(-2(3(5x - 3)^2 - 3(5x - 3) - 2)^2 - 3(3(5x - 3)^2 - 3(5x - 3) - 2) - 5)) + 2) - 3) + 5, g(x) = -2|(3(2|(-4((2x - 2)/(2x - 3)) - 2) - 3| + 3) - 1) + 1| - 3, x = 1.1, and x = 1.2000000000000002. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2((2(-1(4(2|(-2x + 3) + 2| + 3)) + 1) - 2)/(-3(-1(4(2|(-2x + 3) + 2| + 3)) + 1) - 1)) + 3)/(3((2(-1(4(2|(-2x + 3) + 2| + 3)) + 1) - 2)/(-3(-1(4(2|(-2x + 3) + 2| + 3)) + 1) - 1))) and g(x) = -2cos(2π(-5(-2(-3|((2x - 2)/(2x)) - 3| - 2)^2 - 2(-3|((2x - 2)/(2x)) - 3| - 2) + 1) + 1) + 1) + 1 from x = -4.1 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) = -5((-3(3cos(2π(1(2((3x + 1)/(-1x + 2)) + 3) + 2)) - 3) - 3)/(3(3cos(2π(1(2((3x + 1)/(-1x + 2)) + 3) + 2)) - 3) + 1)) + 5 and g(x) = 5(-2sin(3π(4(-2|(-3x^2 + 2) + 3|)^2 + 1) - 1) + 1) - 4 between the vertical lines x = 0.0 and x = 0.1. 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(1cos(1π(2|(-2(-5x - 5) + 1) - 3| - 1) + 2) + 1)^2 + 2(1cos(1π(2|(-2(-5x - 5) + 1) - 3| - 1) + 2) + 1) - 2) + 2 and g(x) = 1(1|((1(4((-3x + 2)/(-1x + 2)) - 2))/(-1(4((-3x + 2)/(-1x + 2)) - 2) + 2)) + 1| + 1) + 3 between the vertical lines x = -0.1 and x = 0.0. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1|(3|(3cos(3π(3(-4((3x + 1)/(-2x + 3))^2 - 2((3x + 1)/(-2x + 3)) - 3) - 2) + 3) + 2) - 3| - 3) - 3| - 3, g(x) = -3cos(3π((3((-2((-3(1|x + 2| - 1) + 3)/(-2(1|x + 2| - 1) - 3)) + 1)/(1((-3(1|x + 2| - 1) + 3)/(-2(1|x + 2| - 1) - 3)))) + 1)/(-2((-2((-3(1|x + 2| - 1) + 3)/(-2(1|x + 2| - 1) - 3)) + 1)/(1((-3(1|x + 2| - 1) + 3)/(-2(1|x + 2| - 1) - 3)))) + 3)) - 3) - 2, x = 2.3, and x = 2.4. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (-3(5(3(1|(-3((-1x)/(3x - 1)) - 1) + 2| - 1) - 2) - 4) - 1)/(-1(5(3(1|(-3((-1x)/(3x - 1)) - 1) + 2| - 1) - 2) - 4) - 3) and g(x) = (3(-4(-2|(1(-1x + 4) + 4) + 1| - 3)^2 - 2(-2|(1(-1x + 4) + 4) + 1| - 3) + 3) + 2)/(-1(-4(-2|(1(-1x + 4) + 4) + 1| - 3)^2 - 2(-2|(1(-1x + 4) + 4) + 1| - 3) + 3) + 2) from x = -1.5 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) = (-2(-3sin(1π((-2(-4(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3)^2 + 1(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3) - 5) - 2)/(-2(-4(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3)^2 + 1(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3) - 5))) - 1) - 1) - 2)/(1(-3sin(1π((-2(-4(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3)^2 + 1(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3) - 5) - 2)/(-2(-4(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3)^2 + 1(-2(-1x^2 - 5x - 5)^2 + 5(-1x^2 - 5x - 5) + 3) - 5))) - 1) - 1) + 3) and g(x) = 1((1(-3(-3((-1x - 1)/(-2x))^2 - 1((-1x - 1)/(-2x)) + 1)^2 + 4) + 1)/(2(-3(-3((-1x - 1)/(-2x))^2 - 1((-1x - 1)/(-2x)) + 1)^2 + 4) + 1))^2 - 3((1(-3(-3((-1x - 1)/(-2x))^2 - 1((-1x - 1)/(-2x)) + 1)^2 + 4) + 1)/(2(-3(-3((-1x - 1)/(-2x))^2 - 1((-1x - 1)/(-2x)) + 1)^2 + 4) + 1)) - 5 between the vertical lines x = -3.8 and x = -1.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(3((-3(-2|((1(-2|x| - 3) - 2)/(-1(-2|x| - 3) - 2)) + 2| + 1) + 1)/(1(-2|((1(-2|x| - 3) - 2)/(-1(-2|x| - 3) - 2)) + 2| + 1) + 3)) + 1)^2 + 5(3((-3(-2|((1(-2|x| - 3) - 2)/(-1(-2|x| - 3) - 2)) + 2| + 1) + 1)/(1(-2|((1(-2|x| - 3) - 2)/(-1(-2|x| - 3) - 2)) + 2| + 1) + 3)) + 1) + 5 and g(x) = -2(-2(3(3|(-1x^2 + 3x + 4) - 2| - 2) - 3) - 4)^2 - 4(-2(3(3|(-1x^2 + 3x + 4) - 2| - 2) - 3) - 4) + 5 between the vertical lines x = 3.7 and x = 3.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3(1(-1(-1|(1(-5x^2 + 1x + 5)^2 - 2(-5x^2 + 1x + 5) - 2) + 3|) + 4)^2 - 1(-1(-1|(1(-5x^2 + 1x + 5)^2 - 2(-5x^2 + 1x + 5) - 2) + 3|) + 4) + 1) - 1 and g(x) = -3(-4(2|((2((-2x - 1)/(-2x + 3)) + 1)/(-1((-2x - 1)/(-2x + 3)) - 3)) - 3|)^2 + 5(2|((2((-2x - 1)/(-2x + 3)) + 1)/(-1((-2x - 1)/(-2x + 3)) - 3)) - 3|) + 2) - 1 from x = -1.1 to x = -0.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(1(5(-2e^(-1(-2(3|x + 3| - 2) - 2)) - 1))^2 - 1(5(-2e^(-1(-2(3|x + 3| - 2) - 2)) - 1)) + 3))/(-2(1(5(-2e^(-1(-2(3|x + 3| - 2) - 2)) - 1))^2 - 1(5(-2e^(-1(-2(3|x + 3| - 2) - 2)) - 1)) + 3) + 3) and g(x) = 4(1((-3((-2(-2cos(3πx - 3) - 2) - 1)/(-3(-2cos(3πx - 3) - 2))) - 1)/(3((-2(-2cos(3πx - 3) - 2) - 1)/(-3(-2cos(3πx - 3) - 2))) + 3)) - 3) - 5 from x = 1.9 to x = 2.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1((-1((2((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) + 3)/(3((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) - 2)) + 3)/(-2((2((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) + 3)/(3((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) - 2)) - 3)) - 2)/(-1((-1((2((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) + 3)/(3((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) - 2)) + 3)/(-2((2((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) + 3)/(3((-3(1|(2e^(1x) + 3) + 2| - 1) + 2)/(-2(1|(2e^(1x) + 3) + 2| - 1) - 2)) - 2)) - 3)) - 2), g(x) = 1(-3sin(3π(3|(-2|(3x^2 + 5x - 3) - 1| - 2) - 3| - 3) + 3) - 1)^2 - 2(-3sin(3π(3|(-2|(3x^2 + 5x - 3) - 1| - 2) - 3| - 3) + 3) - 1) - 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]
Find the area of the region bounded by the curves f(x) = (1(-5(-1(1|(3(-5x^2 - 2x - 5) - 2) - 1| - 2)^2 - 1(1|(3(-5x^2 - 2x - 5) - 2) - 1| - 2) + 4) - 5) + 3)/(-3(-5(-1(1|(3(-5x^2 - 2x - 5) - 2) - 1| - 2)^2 - 1(1|(3(-5x^2 - 2x - 5) - 2) - 1| - 2) + 4) - 5) - 1), g(x) = 5((3(1|((2(-2x^2 - 3x - 2) - 3)/(1(-2x^2 - 3x - 2) + 1)) - 3| + 2) - 1)/(-2(1|((2(-2x^2 - 3x - 2) - 3)/(1(-2x^2 - 3x - 2) + 1)) - 3| + 2) - 1)) + 5, x = -2.8, 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) = 4((1(-3e^(1(-2|(4((-1x + 2)/(2x - 1))^2 + 2((-1x + 2)/(2x - 1)) + 5) - 1| + 3))))/(3(-3e^(1(-2|(4((-1x + 2)/(2x - 1))^2 + 2((-1x + 2)/(2x - 1)) + 5) - 1| + 3))) - 1)) - 2 and g(x) = 3cos(3π(-3(3((2(-1x^2 - 3x + 2) - 3)/(-3(-1x^2 - 3x + 2) + 2))^2 + 4((2(-1x^2 - 3x + 2) - 3)/(-3(-1x^2 - 3x + 2) + 2)) + 2) - 2) + 3) + 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) = (3(4(1(1|(-2|(-3x + 2) + 1| + 2) - 2|)^2 - 3(1|(-2|(-3x + 2) + 1| + 2) - 2|) + 3)^2 + 3(1(1|(-2|(-3x + 2) + 1| + 2) - 2|)^2 - 3(1|(-2|(-3x + 2) + 1| + 2) - 2|) + 3) - 5) - 3)/(-3(4(1(1|(-2|(-3x + 2) + 1| + 2) - 2|)^2 - 3(1|(-2|(-3x + 2) + 1| + 2) - 2|) + 3)^2 + 3(1(1|(-2|(-3x + 2) + 1| + 2) - 2|)^2 - 3(1|(-2|(-3x + 2) + 1| + 2) - 2|) + 3) - 5)), g(x) = 2(-3|(2|(-4(5x + 2)^2 + 1) - 2| - 2) - 2| + 2), x = -0.3, and x = -0.19999999999999998. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2|(3((2(-4(-4(1|x + 1| - 1)^2 - 3(1|x + 1| - 1) + 2)^2 - 5(-4(1|x + 1| - 1)^2 - 3(1|x + 1| - 1) + 2)) + 2)/(-2(-4(-4(1|x + 1| - 1)^2 - 3(1|x + 1| - 1) + 2)^2 - 5(-4(1|x + 1| - 1)^2 - 3(1|x + 1| - 1) + 2)) + 3)) + 3) + 1| + 3 and g(x) = 3(-5((2(4(3|x|) + 2) + 2)/(2(4(3|x|) + 2) + 1))^2 + 3((2(4(3|x|) + 2) + 2)/(2(4(3|x|) + 2) + 1)) + 1) - 1 from x = -2.4 to x = 0.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5((2(3(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2)^2 + 4(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2) - 4) - 3)/(-3(3(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2)^2 + 4(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2) - 4) + 4))^2 + 5((2(3(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2)^2 + 4(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2) - 4) - 3)/(-3(3(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2)^2 + 4(-4(-1cos(2π(-2x - 2) + 3) + 2) + 2) - 4) + 4)) - 3 and g(x) = 1|(-2|((-2(2sin(2π(-4x^2 + 3x + 4)) - 1))/(1(2sin(2π(-4x^2 + 3x + 4)) - 1) + 1)) - 1| + 1) - 1| from x = 0.7 to x = 0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5((-1(3((-1(-5((3x - 2)/(-1x - 2)) + 2) + 3)/(3(-5((3x - 2)/(-1x - 2)) + 2) - 2))^2 + 2((-1(-5((3x - 2)/(-1x - 2)) + 2) + 3)/(3(-5((3x - 2)/(-1x - 2)) + 2) - 2)) - 4) - 1)/(-1(3((-1(-5((3x - 2)/(-1x - 2)) + 2) + 3)/(3(-5((3x - 2)/(-1x - 2)) + 2) - 2))^2 + 2((-1(-5((3x - 2)/(-1x - 2)) + 2) + 3)/(3(-5((3x - 2)/(-1x - 2)) + 2) - 2)) - 4) + 3)) + 2 and g(x) = 1|(-1|(-3(-2|((-1x - 3)/(-2x - 1)) + 3| + 3)^2 - 2(-2|((-1x - 3)/(-2x - 1)) + 3| + 3) + 5)| + 2) + 2| + 2 from x = -0.7 to x = -0.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(1(-1sin(3π(-1|(3(5x^2 + 1)^2 - 5(5x^2 + 1) + 4) - 2| + 3) + 1) - 2)^2 + 4) + 1| + 2 and g(x) = 1(-1|(4(3|(-3x^2 + 2x + 3) + 1| - 2)^2 + 3(3|(-3x^2 + 2x + 3) + 1| - 2) + 2) - 2| + 3) - 2 from x = 1.4 to 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(-2((1(2sin(2π(-1x - 4) - 3)) - 2)/(2(2sin(2π(-1x - 4) - 3)) + 2)) - 2))/(-3(-2((1(2sin(2π(-1x - 4) - 3)) - 2)/(2(2sin(2π(-1x - 4) - 3)) + 2)) - 2) + 2)) - 1| - 3 and g(x) = -3(-3|((-3(1((1x + 1)/(2x - 3))) - 1)/(-2(1((1x + 1)/(2x - 3))))) + 3| + 2)^2 + 2(-3|((-3(1((1x + 1)/(2x - 3))) - 1)/(-2(1((1x + 1)/(2x - 3))))) + 3| + 2) - 1 between the vertical lines x = -0.6 and x = -0.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2((-2(1(-5(1cos(3π(4x^2 + 1x + 5) - 1) + 3) + 2) + 1) + 1)/(-1(1(-5(1cos(3π(4x^2 + 1x + 5) - 1) + 3) + 2) + 1) - 2))^2 + 3((-2(1(-5(1cos(3π(4x^2 + 1x + 5) - 1) + 3) + 2) + 1) + 1)/(-1(1(-5(1cos(3π(4x^2 + 1x + 5) - 1) + 3) + 2) + 1) - 2)) + 3, g(x) = -2|(5(1|(3(2x^2 + 4x)^2 - 5(2x^2 + 4x) - 1) + 1|)^2 + 1(1|(3(2x^2 + 4x)^2 - 5(2x^2 + 4x) - 1) + 1|) - 5) + 1|, x = 0.1, 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) = (-1((1(4(-1e^(-1((-1((2x)/(2x + 2)) + 2)/(1((2x)/(2x + 2)) - 3))) - 1) + 5))/(-1(4(-1e^(-1((-1((2x)/(2x + 2)) + 2)/(1((2x)/(2x + 2)) - 3))) - 1) + 5) - 1)) - 3)/(-3((1(4(-1e^(-1((-1((2x)/(2x + 2)) + 2)/(1((2x)/(2x + 2)) - 3))) - 1) + 5))/(-1(4(-1e^(-1((-1((2x)/(2x + 2)) + 2)/(1((2x)/(2x + 2)) - 3))) - 1) + 5) - 1)) - 3) and g(x) = 5(1|(-4((-2(1x^2 + 1) - 2)/(-2(1x^2 + 1) + 3)) + 2) + 3| - 1)^2 - 5(1|(-4((-2(1x^2 + 1) - 2)/(-2(1x^2 + 1) + 3)) + 2) + 3| - 1) - 4 between the vertical lines x = 1.9 and x = 2.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3((-2(-2(1(3cos(2π(-4x^2 + 2x - 1) + 1) - 1) + 2) + 4) + 2)/(-3(-2(1(3cos(2π(-4x^2 + 2x - 1) + 1) - 1) + 2) + 4) - 3))^2 - 4((-2(-2(1(3cos(2π(-4x^2 + 2x - 1) + 1) - 1) + 2) + 4) + 2)/(-3(-2(1(3cos(2π(-4x^2 + 2x - 1) + 1) - 1) + 2) + 4) - 3)) + 4 and g(x) = (2(1|(2(-3(-3|x + 3| - 3)^2 + 4(-3|x + 3| - 3) - 3) - 4) + 2| - 2) + 1)/(-3(1|(2(-3(-3|x + 3| - 3)^2 + 4(-3|x + 3| - 3) - 3) - 4) + 2| - 2) + 1) from x = -1.7 to x = -1.5999999999999999. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(2π(-1(-3|((-2((1(3|x - 2| - 2) - 1)/(-2(3|x - 2| - 2))) + 2)/(2((1(3|x - 2| - 2) - 1)/(-2(3|x - 2| - 2))) - 1)) + 2| - 3))) - 1 and g(x) = (3(1(-2|(4(2x - 2)^2 - 5(2x - 2) - 5) - 2| - 2)) + 3)/(2(1(-2|(4(2x - 2)^2 - 5(2x - 2) - 5) - 2| - 2)) + 1) between the vertical lines x = 1.1 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) = 3(-1|(1(2|(5((1x - 1)/(3x - 2)) + 3) + 3| - 1) - 2) - 3| + 3)^2 - 5(-1|(1(2|(5((1x - 1)/(3x - 2)) + 3) + 3| - 1) - 2) - 3| + 3) + 3 and g(x) = 1|(1cos(3π(3(-2|(-2x^2 + 5x + 4) - 2| + 2) - 3) - 3) - 3)| - 2 between the vertical lines x = 0.8 and x = 0.9. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1(2|(2|(3(-1sin(3π(-2x^2 + 1) - 1))^2 - 2(-1sin(3π(-2x^2 + 1) - 1)) - 3) + 3| + 3)| + 1) - 1, g(x) = -3|((3(-1|(-2|((-3x + 3)/(-3x - 2)) + 2| - 3)| + 3) + 2)/(-2(-1|(-2|((-3x + 3)/(-3x - 2)) + 2| - 3)| + 3))) - 2| + 3, x = -0.1, and x = 0.0. 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) = 3e^(-2(5((-2((-3((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)))/(-1((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)) + 2)) + 1)/(-2((-3((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)))/(-1((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)) + 2)) + 3))^2 + 3((-2((-3((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)))/(-1((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)) + 2)) + 1)/(-2((-3((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)))/(-1((-2(3|x - 3|) + 1)/(-3(3|x - 3|) - 3)) + 2)) + 3)) - 3)) + 2 and g(x) = -5(-1|(-3(-2|(-1cos(2πx - 2) + 1) - 2| + 2)^2 + 2(-2|(-1cos(2πx - 2) + 1) - 2| + 2) + 1) + 2| + 2) - 3 between the vertical lines x = -2.2 and x = -2.1. 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(2sin(1π(3(-4x^2 + 1x - 5)^2 + 3(-4x^2 + 1x - 5) + 1) + 3) + 3) + 1) + 1)/(-1(-4(2sin(1π(3(-4x^2 + 1x - 5)^2 + 3(-4x^2 + 1x - 5) + 1) + 3) + 3) + 1) + 3))^2 - 5((-1(-4(2sin(1π(3(-4x^2 + 1x - 5)^2 + 3(-4x^2 + 1x - 5) + 1) + 3) + 3) + 1) + 1)/(-1(-4(2sin(1π(3(-4x^2 + 1x - 5)^2 + 3(-4x^2 + 1x - 5) + 1) + 3) + 3) + 1) + 3)) - 3, g(x) = -2|(-4(3|(-1|(-2|x + 1| - 2) + 1| + 1) + 1| - 2) + 2)| + 1, x = -1.7, and x = -1.5999999999999999. 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(-4(-1|((1(-3|(1|x + 2| - 3) + 2| - 1) + 3)/(-1(-3|(1|x + 2| - 3) + 2| - 1) + 3)) + 3|)^2 + 5(-1|((1(-3|(1|x + 2| - 3) + 2| - 1) + 3)/(-1(-3|(1|x + 2| - 3) + 2| - 1) + 3)) + 3|)) - 1 and g(x) = -2(-1e^(2(-3(-2(2x + 3)^2 - 4(2x + 3)) - 2)) + 1) + 5 between the vertical lines x = -2.6 and x = -1.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2((-1(-5(-2(2cos(3π(-3|x + 3| - 1) + 3) + 2)^2 - 2(2cos(3π(-3|x + 3| - 1) + 3) + 2) + 3)^2 + 1(-2(2cos(3π(-3|x + 3| - 1) + 3) + 2)^2 - 2(2cos(3π(-3|x + 3| - 1) + 3) + 2) + 3) + 1) - 2)/(-1(-5(-2(2cos(3π(-3|x + 3| - 1) + 3) + 2)^2 - 2(2cos(3π(-3|x + 3| - 1) + 3) + 2) + 3)^2 + 1(-2(2cos(3π(-3|x + 3| - 1) + 3) + 2)^2 - 2(2cos(3π(-3|x + 3| - 1) + 3) + 2) + 3) + 1))) - 5 and g(x) = 1(-1(1((1(-1x) - 3)/(-2(-1x) + 3))^2 + 2((1(-1x) - 3)/(-2(-1x) + 3)) - 4)^2 - 1(1((1(-1x) - 3)/(-2(-1x) + 3))^2 + 2((1(-1x) - 3)/(-2(-1x) + 3)) - 4)) - 1 from x = -4.2 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) = -2e^(2((2(-3((-1((3(1x - 2))/(-3(1x - 2) + 4)) - 3)/(2((3(1x - 2))/(-3(1x - 2) + 4)) + 2))^2 - 1((-1((3(1x - 2))/(-3(1x - 2) + 4)) - 3)/(2((3(1x - 2))/(-3(1x - 2) + 4)) + 2))) + 3)/(-3(-3((-1((3(1x - 2))/(-3(1x - 2) + 4)) - 3)/(2((3(1x - 2))/(-3(1x - 2) + 4)) + 2))^2 - 1((-1((3(1x - 2))/(-3(1x - 2) + 4)) - 3)/(2((3(1x - 2))/(-3(1x - 2) + 4)) + 2))) + 4))) - 1 and g(x) = -3((-3(4(-2|(2|x + 3| - 1) + 2| + 1)^2 + 1(-2|(2|x + 3| - 1) + 2| + 1) - 5) + 2)/(-3(4(-2|(2|x + 3| - 1) + 2| + 1)^2 + 1(-2|(2|x + 3| - 1) + 2| + 1) - 5) - 1))^2 + 3((-3(4(-2|(2|x + 3| - 1) + 2| + 1)^2 + 1(-2|(2|x + 3| - 1) + 2| + 1) - 5) + 2)/(-3(4(-2|(2|x + 3| - 1) + 2| + 1)^2 + 1(-2|(2|x + 3| - 1) + 2| + 1) - 5) - 1)) - 3 from x = 2.8 to x = 4.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(-1(-3|((2(1|(4x^2 + 4x + 1) + 3| + 2) + 2)/(-3(1|(4x^2 + 4x + 1) + 3| + 2) - 3))| + 2)^2 - 2) + 2)/(1(-1(-3|((2(1|(4x^2 + 4x + 1) + 3| + 2) + 2)/(-3(1|(4x^2 + 4x + 1) + 3| + 2) - 3))| + 2)^2 - 2) - 2), g(x) = -3sin(1π(-2(-1(-2|(-2|x - 1| - 2) + 3|)^2 - 2(-2|(-2|x - 1| - 2) + 3|) - 5)^2 + 4) + 1) - 3, x = 3.3, and x = 3.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1sin(3π(4(-1((2(-3|(-1|x + 2| + 1) + 2| + 2) - 3)/(3(-3|(-1|x + 2| + 1) + 2| + 2) - 1))^2 + 1((2(-3|(-1|x + 2| + 1) + 2| + 2) - 3)/(3(-3|(-1|x + 2| + 1) + 2| + 2) - 1)) + 5)^2 + 2(-1((2(-3|(-1|x + 2| + 1) + 2| + 2) - 3)/(3(-3|(-1|x + 2| + 1) + 2| + 2) - 1))^2 + 1((2(-3|(-1|x + 2| + 1) + 2| + 2) - 3)/(3(-3|(-1|x + 2| + 1) + 2| + 2) - 1)) + 5) + 4) - 1) + 1, g(x) = 3|(4(-5((-3(-1e^(-1x) + 3) + 3)/(1(-1e^(-1x) + 3) + 2))^2 + 3((-3(-1e^(-1x) + 3) + 3)/(1(-1e^(-1x) + 3) + 2)))^2 - 1) + 1| + 1, x = -0.9, and x = -0.7. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2(-1|((-1(-2|(2(1cos(2πx + 3) + 1) + 2)| - 2) + 2)/(3(-2|(2(1cos(2πx + 3) + 1) + 2)| - 2))) + 2| + 1) + 3 and g(x) = 5(-3cos(1π(-3(-1(-1x) + 2)^2 - 1(-1(-1x) + 2) - 3) + 1) - 2) + 4 from x = 4.4 to x = 4.5. 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|((1(1|(2|x + 3| + 1) + 3| - 1) - 1)/(1(1|(2|x + 3| + 1) + 3| - 1) + 2)) - 2| - 2)^2 + 2(2|((1(1|(2|x + 3| + 1) + 3| - 1) - 1)/(1(1|(2|x + 3| + 1) + 3| - 1) + 2)) - 2| - 2) + 4) + 2| - 1 and g(x) = 3(2|((2(-1|(1|x + 1| - 2) - 1| + 2) - 3)/(1(-1|(1|x + 1| - 2) - 1| + 2) + 3))| - 2) + 4 between the vertical lines x = -1.2 and 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) = -2sin(2π(2|(-2((-1(1(5x - 4) + 2) + 3)/(3(1(5x - 4) + 2) - 1)) + 1) + 3| + 1) - 2) + 1 and g(x) = -3(2|(3(1|(1|x - 1| + 1) - 2| - 2) - 4) + 2| - 1)^2 - 1(2|(3(1|(1|x - 1| + 1) - 2| - 2) - 4) + 2| - 1) + 1 between the vertical lines x = -2.9 and x = -2.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(2sin(3π(-5(-3|(5(-2x^2 + 2x - 2)^2 - 2(-2x^2 + 2x - 2)) - 3| - 2)^2 + 1(-3|(5(-2x^2 + 2x - 2)^2 - 2(-2x^2 + 2x - 2)) - 3| - 2) + 2) + 2) - 2) + 2| + 2 and g(x) = 3(1cos(2π(3((2((1x)/(3x)) - 3)/(-1((1x)/(3x)) + 2)) - 2) - 1) + 1) + 2 between the vertical lines x = 1.1 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) = -2|(3sin(3π(-3(-3((-2(-3|x| - 1) - 1)/(1(-3|x| - 1) - 3))^2 + 1((-2(-3|x| - 1) - 1)/(1(-3|x| - 1) - 3)) - 1) + 3)) + 1) + 1| + 2, g(x) = 2|(-4(-4(1|(1sin(1πx - 3)) - 2|) + 3) - 1) - 3| - 2, x = -2.5, and x = -2.4. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1|((2((1(-1|(1(-1|x - 1|)^2 + 5(-1|x - 1|) - 2) - 2| - 1))/(1(-1|(1(-1|x - 1|)^2 + 5(-1|x - 1|) - 2) - 2| - 1) + 3)) - 2)/(-2((1(-1|(1(-1|x - 1|)^2 + 5(-1|x - 1|) - 2) - 2| - 1))/(1(-1|(1(-1|x - 1|)^2 + 5(-1|x - 1|) - 2) - 2| - 1) + 3)) - 2)) - 3| and g(x) = 4(-1|((-3((-2(2|x + 1| + 2) - 2)/(-1(2|x + 1| + 2) - 1)) + 3)/(2((-2(2|x + 1| + 2) - 2)/(-1(2|x + 1| + 2) - 1)))) + 2| + 2) + 1 from x = -4.7 to x = -4.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1|(-5(2((1(-2(-3x + 2)) + 2)/(-3(-2(-3x + 2)) - 3)) + 4)^2 - 3(2((1(-2(-3x + 2)) + 2)/(-3(-2(-3x + 2)) - 3)) + 4) - 1)|, g(x) = 1|(2|(-1e^(-2((1(3|x + 3| - 1) + 3)/(-1(3|x + 3| - 1) + 3))) - 3) + 1| + 2) - 2| + 3, x = 0.4, and x = 0.5. 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(-4((-2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2)/(2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2))^2 - 3((-2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2)/(2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2)) + 4) - 1)/(-2(-4((-2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2)/(2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2))^2 - 3((-2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2)/(2(3((2(1sin(1πx)))/(2(1sin(1πx)) - 1))^2 - 2((2(1sin(1πx)))/(2(1sin(1πx)) - 1)) - 4) + 2)) + 4) + 1), g(x) = -1|(-1(-1|((-3(-3|x - 3| + 2) - 2)/(1(-3|x - 3| + 2))) + 1| - 2) - 5) + 1| + 2, x = 3.4, and x = 3.8. 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) = -5(-5(-2(-2((2((-2x - 2)/(2x - 3)) + 3)/(-1((-2x - 2)/(2x - 3)) + 2)) + 2)) - 4) - 2, g(x) = 3|(3sin(2π(-4(-2((1x + 3)/(2x)) - 5)^2 + 4(-2((1x + 3)/(2x)) - 5) - 3) + 2) - 1) + 3| + 3, x = -2.8, and x = -2.6999999999999997. 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(1cos(1π(1(-4(3(4x + 3) + 5)^2 + 5(3(4x + 3) + 5) + 3)^2 + 4(-4(3(4x + 3) + 5)^2 + 5(3(4x + 3) + 5) + 3) + 1) - 1) - 1) + 2)/(2(1cos(1π(1(-4(3(4x + 3) + 5)^2 + 5(3(4x + 3) + 5) + 3)^2 + 4(-4(3(4x + 3) + 5)^2 + 5(3(4x + 3) + 5) + 3) + 1) - 1) - 1) - 1) and g(x) = -5(-2(-2cos(3π((-3(5x + 3) + 3)/(-2(5x + 3) + 1))) + 2)^2 + 4(-2cos(3π((-3(5x + 3) + 3)/(-2(5x + 3) + 1))) + 2) + 3)^2 + 4(-2(-2cos(3π((-3(5x + 3) + 3)/(-2(5x + 3) + 1))) + 2)^2 + 4(-2cos(3π((-3(5x + 3) + 3)/(-2(5x + 3) + 1))) + 2) + 3) + 4 between the vertical lines x = -0.3 and x = -0.1. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-2(-1|((3(-5(1x^2 + 4x - 2)^2 - 1(1x^2 + 4x - 2)) - 3)/(-3(-5(1x^2 + 4x - 2)^2 - 1(1x^2 + 4x - 2)) + 2)) - 1| + 2) + 2) - 1 and g(x) = 1(-3|(5(3((-2x - 1)/(-3x + 1)) + 1)^2 + 3(3((-2x - 1)/(-3x + 1)) + 1) + 4) - 3| + 2)^2 - 5(-3|(5(3((-2x - 1)/(-3x + 1)) + 1)^2 + 3(3((-2x - 1)/(-3x + 1)) + 1) + 4) - 3| + 2) + 2 between the vertical lines x = -0.2 and x = -0.1. 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((-2((2(2((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2))^2 - 4((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2)) - 2) + 2)/(1(2((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2))^2 - 4((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2)) - 2) - 3)) - 1)/(2((2(2((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2))^2 - 4((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2)) - 2) + 2)/(1(2((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2))^2 - 4((1(5x^2 - 5x - 4) + 1)/(2(5x^2 - 5x - 4) + 2)) - 2) - 3)) + 3)) - 3) + 1 and g(x) = -2(-3|(3|((1((-1x + 1)/(2x - 1)))/(2((-1x + 1)/(2x - 1)) + 1))| - 1)| + 1)^2 + 3(-3|(3|((1((-1x + 1)/(2x - 1)))/(2((-1x + 1)/(2x - 1)) + 1))| - 1)| + 1) + 5 between the vertical lines x = 0.8 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(-2((3((-2(-1|(-1|x + 2| + 2)|) + 1)/(-2(-1|(-1|x + 2| + 2)|) - 3)) + 2)/(-2((-2(-1|(-1|x + 2| + 2)|) + 1)/(-2(-1|(-1|x + 2| + 2)|) - 3)) + 3)) + 4) - 5 and g(x) = (1(1(3e^(-1((2(-1|x - 2| + 3) - 2)/(2(-1|x - 2| + 3) + 3))))^2 + 2(3e^(-1((2(-1|x - 2| + 3) - 2)/(2(-1|x - 2| + 3) + 3)))) - 2) + 2)/(2(1(3e^(-1((2(-1|x - 2| + 3) - 2)/(2(-1|x - 2| + 3) + 3))))^2 + 2(3e^(-1((2(-1|x - 2| + 3) - 2)/(2(-1|x - 2| + 3) + 3)))) - 2)) between the vertical lines x = -1.0 and x = 1.0. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -4(-2cos(3π(-2(1|((2(-4x + 2) - 1)/(-1(-4x + 2))) + 2| - 2) + 3) + 3) - 2) - 3, g(x) = 1((-1(5((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3))))^2 - 2((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3)))) + 3) + 1)/(-1(5((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3))))^2 - 2((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3)))) + 3) - 3))^2 + 4((-1(5((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3))))^2 - 2((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3)))) + 3) + 1)/(-1(5((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3))))^2 - 2((-3((-1x + 3)/(-2x + 3)) + 2)/(1((-1x + 3)/(-2x + 3)))) + 3) - 3)) + 3, 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) = 2(2cos(1π(-1(3|(2|((-1x + 2)/(3x + 3)) - 1| - 1) + 1| + 2) - 3) + 3) - 3)^2 + 5(2cos(1π(-1(3|(2|((-1x + 2)/(3x + 3)) - 1| - 1) + 1| + 2) - 3) + 3) - 3) + 3, g(x) = 5((2((-3((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)) + 2)/(-2((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)))) - 1)/(-2((-3((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)) + 2)/(-2((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)))) + 3))^2 + 4((2((-3((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)) + 2)/(-2((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)))) - 1)/(-2((-3((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)) + 2)/(-2((1(-2|x - 3| + 3) + 1)/(-1(-2|x - 3| + 3) + 3)))) + 3)) + 1, x = -1.2, and x = -1.0999999999999999. 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(-3((3(2|(-3(-2|x| + 2) + 2) - 2| - 1) - 3)/(-1(2|(-3(-2|x| + 2) + 2) - 2| - 1) + 2)) - 4) and g(x) = 2((3(2|((-3((2x - 1)/(-1x - 2)) + 1)/(-1((2x - 1)/(-1x - 2)) - 3))| + 1) - 1)/(-2(2|((-3((2x - 1)/(-1x - 2)) + 1)/(-1((2x - 1)/(-1x - 2)) - 3))| + 1) - 3)) - 5 between the vertical lines x = -1.6 and 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) = (2(-3|((2(2(1(-1e^(1x) - 3)^2 - 1(-1e^(1x) - 3) + 4) + 2) + 1)/(3(2(1(-1e^(1x) - 3)^2 - 1(-1e^(1x) - 3) + 4) + 2) + 1)) + 2| - 2) - 2)/(2(-3|((2(2(1(-1e^(1x) - 3)^2 - 1(-1e^(1x) - 3) + 4) + 2) + 1)/(3(2(1(-1e^(1x) - 3)^2 - 1(-1e^(1x) - 3) + 4) + 2) + 1)) + 2| - 2) + 1), g(x) = 5(1|(5(-3|((3x - 3)/(-3x - 3)) - 3| - 1)^2 + 4(-3|((3x - 3)/(-3x - 3)) - 3| - 1) + 1) - 3| - 2), x = -0.5, and x = -0.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3sin(1π(3|((2(-3(-2|((1x - 1)/(-1x - 2))|) + 1) - 1)/(-2(-3(-2|((1x - 1)/(-1x - 2))|) + 1))) - 2|) - 1) and g(x) = -3cos(2π(-2|((1(2|(-3x^2 + 1x - 3) + 3|) + 1)/(-2(2|(-3x^2 + 1x - 3) + 3|) + 1)) - 2| + 2) - 1) + 1 from x = 0.7 to x = 0.7999999999999999. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (3(5(-3((1((-2(2|x| - 2) - 1)/(-1(2|x| - 2) + 3)) + 3)/(-3((-2(2|x| - 2) - 1)/(-1(2|x| - 2) + 3)) + 1))) - 3) + 2)/(-2(5(-3((1((-2(2|x| - 2) - 1)/(-1(2|x| - 2) + 3)) + 3)/(-3((-2(2|x| - 2) - 1)/(-1(2|x| - 2) + 3)) + 1))) - 3) + 1) and g(x) = 5(3sin(2π(-2|(-2(-2|x + 1| + 2)^2 - 3) + 1| + 1)) + 3)^2 - 4(3sin(2π(-2|(-2(-2|x + 1| + 2)^2 - 3) + 1| + 1)) + 3) - 3 from x = 0.1 to 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(-1(-1|((-1((1x + 1)/(-3x - 2)) - 3)/(2((1x + 1)/(-3x - 2)) + 1)) + 1| - 3))^2 + 3(-1(-1|((-1((1x + 1)/(-3x - 2)) - 3)/(2((1x + 1)/(-3x - 2)) + 1)) + 1| - 3)) - 3)| + 2 and g(x) = 3|(2(-2cos(3π(-3(1|x + 1| - 1)^2 - 3(1|x + 1| - 1) + 3) - 2) - 1) - 3) - 2| + 2 between the vertical lines x = -0.8 and x = -0.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (3(1|(-3(4(4(3cos(1πx - 1) + 1) - 2) - 1))| - 2) - 2)/(1(1|(-3(4(4(3cos(1πx - 1) + 1) - 2) - 1))| - 2) - 3), g(x) = 2e^(-1((2((-1((-3(4x^2 - 4))/(-1(4x^2 - 4))) + 2)/(3((-3(4x^2 - 4))/(-1(4x^2 - 4))) + 1)) + 3)/(-2((-1((-3(4x^2 - 4))/(-1(4x^2 - 4))) + 2)/(3((-3(4x^2 - 4))/(-1(4x^2 - 4))) + 1)) + 3))) - 3, x = -2.2, and x = -1.1. 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|(-3(3|(-1(-2cos(1π(-1|x + 2| - 3) + 3) + 2)^2 + 4) - 1| + 1)^2 + 2(3|(-1(-2cos(1π(-1|x + 2| - 3) + 3) + 2)^2 + 4) - 1| + 1) - 1) - 3|, g(x) = -2(-4(1((-1(1|x + 1| - 1) + 3)/(2(1|x + 1| - 1) - 3))^2 + 3((-1(1|x + 1| - 1) + 3)/(2(1|x + 1| - 1) - 3)) + 4)^2 + 2(1((-1(1|x + 1| - 1) + 3)/(2(1|x + 1| - 1) - 3))^2 + 3((-1(1|x + 1| - 1) + 3)/(2(1|x + 1| - 1) - 3)) + 4) + 1) + 4, x = -4.5, and x = -4.3. 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) = -2(1((-2(-1(-4(1x^2 - 1x + 5) - 1)^2 + 3(-4(1x^2 - 1x + 5) - 1) + 2))/(-1(-1(-4(1x^2 - 1x + 5) - 1)^2 + 3(-4(1x^2 - 1x + 5) - 1) + 2) - 3)) - 1)^2 - 1(1((-2(-1(-4(1x^2 - 1x + 5) - 1)^2 + 3(-4(1x^2 - 1x + 5) - 1) + 2))/(-1(-1(-4(1x^2 - 1x + 5) - 1)^2 + 3(-4(1x^2 - 1x + 5) - 1) + 2) - 3)) - 1) and g(x) = -5(1sin(1π(1(-5(3x - 3)^2 - 3(3x - 3) - 1)^2 - 2(-5(3x - 3)^2 - 3(3x - 3) - 1) - 2) - 2) + 1) - 3 between the vertical lines x = 1.5 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) = 3e^(2(-4(1(1((-2(-3|x| + 3) + 2)/(2(-3|x| + 3) - 1)) + 5)^2 - 2(1((-2(-3|x| + 3) + 2)/(2(-3|x| + 3) - 1)) + 5) - 4)^2 + 4(1(1((-2(-3|x| + 3) + 2)/(2(-3|x| + 3) - 1)) + 5)^2 - 2(1((-2(-3|x| + 3) + 2)/(2(-3|x| + 3) - 1)) + 5) - 4) + 2)) - 2 and g(x) = 1(2e^(-1((-1(-1((-3x + 1)/(1x))^2 - 2) - 3)/(1(-1((-3x + 1)/(1x))^2 - 2) + 2))) + 1)^2 + 2(2e^(-1((-1(-1((-3x + 1)/(1x))^2 - 2) - 3)/(1(-1((-3x + 1)/(1x))^2 - 2) + 2))) + 1) + 2 between the vertical lines x = -1.0 and x = -0.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-3sin(2π((1(-3(-1(-3x - 4) + 1)^2 - 5(-1(-3x - 4) + 1) + 4) + 2)/(3(-3(-1(-3x - 4) + 1)^2 - 5(-1(-3x - 4) + 1) + 4) + 1)) + 3))^2 + 1(-3sin(2π((1(-3(-1(-3x - 4) + 1)^2 - 5(-1(-3x - 4) + 1) + 4) + 2)/(3(-3(-1(-3x - 4) + 1)^2 - 5(-1(-3x - 4) + 1) + 4) + 1)) + 3)) - 1 and g(x) = 2(-1|(3sin(3π(-3(-2|x - 2| + 3)) + 3) + 2) - 3| + 3)^2 - 3(-1|(3sin(3π(-3(-2|x - 2| + 3)) + 3) + 2) - 3| + 3) + 3 between the vertical lines x = -3.3 and x = -3.1999999999999997. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(-1((1(-1(2(-4x)^2 + 3(-4x))^2 + 5(2(-4x)^2 + 3(-4x)) - 1))/(1(-1(2(-4x)^2 + 3(-4x))^2 + 5(2(-4x)^2 + 3(-4x)) - 1) - 3))^2 + 4((1(-1(2(-4x)^2 + 3(-4x))^2 + 5(2(-4x)^2 + 3(-4x)) - 1))/(1(-1(2(-4x)^2 + 3(-4x))^2 + 5(2(-4x)^2 + 3(-4x)) - 1) - 3)) + 3) and g(x) = (-3((-2(1|(2e^(1((-1x - 3)/(2x))) - 3) - 1| + 3) - 3)/(3(1|(2e^(1((-1x - 3)/(2x))) - 3) - 1| + 3) + 2)))/(-3((-2(1|(2e^(1((-1x - 3)/(2x))) - 3) - 1| + 3) - 3)/(3(1|(2e^(1((-1x - 3)/(2x))) - 3) - 1| + 3) + 2)) + 2) from x = -0.0 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) = 1|(2(2cos(3π(-3|(-1(4x + 3) - 5) + 3| - 1) + 1) - 3)^2 - 1(2cos(3π(-3|(-1(4x + 3) - 5) + 3| - 1) + 1) - 3) - 1) - 1| - 3, g(x) = 2|(-3|((2(-1e^(2(2x^2 + 5x + 3)) + 3) - 2)/(3(-1e^(2(2x^2 + 5x + 3)) + 3) - 1)) - 2| + 1) - 1| + 3, x = -0.8, 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) = -2|(5(-5((1(2|(4x^2 + 4x + 4) - 3| + 2) - 3)/(-1(2|(4x^2 + 4x + 4) - 3| + 2) - 2))^2 - 5((1(2|(4x^2 + 4x + 4) - 3| + 2) - 3)/(-1(2|(4x^2 + 4x + 4) - 3| + 2) - 2)) - 1)^2 - 5(-5((1(2|(4x^2 + 4x + 4) - 3| + 2) - 3)/(-1(2|(4x^2 + 4x + 4) - 3| + 2) - 2))^2 - 5((1(2|(4x^2 + 4x + 4) - 3| + 2) - 3)/(-1(2|(4x^2 + 4x + 4) - 3| + 2) - 2)) - 1) + 1) - 3| + 1, g(x) = 1(-1(1(-4(4x)^2 + 3(4x) + 1) - 4)^2 - 5(1(-4(4x)^2 + 3(4x) + 1) - 4) - 2) + 5, x = -0.2, 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) = -2|(1|((3(-1|((-1(-5x^2 - 2x + 2) - 2)/(-2(-5x^2 - 2x + 2) - 2)) + 1| + 3) + 3)/(2(-1|((-1(-5x^2 - 2x + 2) - 2)/(-2(-5x^2 - 2x + 2) - 2)) + 1| + 3) - 1)) - 1| + 2) + 3| + 1 and g(x) = -2(4((-2(5(1|x + 2| - 2)^2 - 1(1|x + 2| - 2) - 1) + 2)/(1(5(1|x + 2| - 2)^2 - 1(1|x + 2| - 2) - 1) + 2))^2 - 4((-2(5(1|x + 2| - 2)^2 - 1(1|x + 2| - 2) - 1) + 2)/(1(5(1|x + 2| - 2)^2 - 1(1|x + 2| - 2) - 1) + 2))) - 3 from x = -0.2 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) = -3sin(1π(3(2|((-1(-1(4x^2 - 5) + 3) + 1)/(1(-1(4x^2 - 5) + 3) - 2)) - 3| - 3) - 3)) + 1, g(x) = 2e^(2(-2((-1(1((1x)/(-1x - 1)) - 2))/(2(1((1x)/(-1x - 1)) - 2) + 2))^2 + 2((-1(1((1x)/(-1x - 1)) - 2))/(2(1((1x)/(-1x - 1)) - 2) + 2)) - 3)) - 2, x = -1.6, and x = -1.3. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 2((1(3|((1(-2|(2sin(1πx) - 3) + 2| - 2) + 2)/(-2(-2|(2sin(1πx) - 3) + 2| - 2) + 3)) + 3|) + 2)/(-2(3|((1(-2|(2sin(1πx) - 3) + 2| - 2) + 2)/(-2(-2|(2sin(1πx) - 3) + 2| - 2) + 3)) + 3|) + 3)) + 2, g(x) = (1(-3sin(1π(-1|(-2|(5x^2 + 3x - 2) + 1| + 2) + 3| - 2) + 2) + 2) - 2)/(-3(-3sin(1π(-1|(-2|(5x^2 + 3x - 2) + 1| + 2) + 3| - 2) + 2) + 2) + 1), x = -1.7, and x = -1.5999999999999999. 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) = -3e^(1(2|(-1(2|(1|(-2x^2 + 5x + 4)| - 3) + 1| - 2) + 2) - 2| - 1)) + 3 and g(x) = 5(-1(3(-2sin(3π(1x^2 - 4x - 2) + 3) - 2)^2 + 2(-2sin(3π(1x^2 - 4x - 2) + 3) - 2)) - 3) + 3 between the vertical lines x = 2.9 and x = 3.6. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (-1(3|((-2(-1e^(1(-3|(1x^2 + 1x) + 1| - 2))) + 2)/(-3(-1e^(1(-3|(1x^2 + 1x) + 1| - 2)))))| - 3) - 2)/(-3(3|((-2(-1e^(1(-3|(1x^2 + 1x) + 1| - 2))) + 2)/(-3(-1e^(1(-3|(1x^2 + 1x) + 1| - 2)))))| - 3) - 2) and g(x) = -3((1(-3(-5((-2x + 2)/(3x - 2))^2 - 3((-2x + 2)/(3x - 2)) + 2)) - 2)/(-2(-3(-5((-2x + 2)/(3x - 2))^2 - 3((-2x + 2)/(3x - 2)) + 2)))) from x = 0.2 to x = 0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3(2((3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3)/(-3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3))^2 + 4((3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3)/(-3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3)) + 4)^2 - 5(2((3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3)/(-3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3))^2 + 4((3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3)/(-3(-2|(-1cos(2π(-1x - 1) + 1) - 1) + 3| + 3) - 3)) + 4) + 2 and g(x) = -2|(1(-2(-1|((2x - 2)/(1x)) + 2| - 2) + 5)^2 + 2) - 3| - 2 from x = 4.5 to x = 4.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(5(1|(3(1(3x + 3)^2) + 4) - 3| - 3)^2 - 2(1|(3(1(3x + 3)^2) + 4) - 3| - 3))| + 2 and g(x) = (-1((-2(1(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5)^2 + 3(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5) + 3) - 3)/(-3(1(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5)^2 + 3(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5) + 3) - 2)))/(2((-2(1(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5)^2 + 3(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5) + 3) - 3)/(-3(1(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5)^2 + 3(-2(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 5) + 3) - 2)) + 2) between the vertical lines x = -0.8 and 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(1sin(1π((2(-3(-1x - 4)^2 + 1(-1x - 4) + 5) - 3)/(-3(-3(-1x - 4)^2 + 1(-1x - 4) + 5) + 4)) - 3) - 2) - 2)/(1(1sin(1π((2(-3(-1x - 4)^2 + 1(-1x - 4) + 5) - 3)/(-3(-3(-1x - 4)^2 + 1(-1x - 4) + 5) + 4)) - 3) - 2) - 3)) - 1| + 2 and g(x) = -2(-3|((-1((2(-3x - 3) - 1)/(-3(-3x - 3))) + 1)/(-1((2(-3x - 3) - 1)/(-3(-3x - 3))) + 2)) - 1|) - 1 between the vertical lines x = -1.0 and x = -0.9. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(-3((1(-2e^(1(4(5x + 4) - 4)) + 3) - 3)/(2(-2e^(1(4(5x + 4) - 4)) + 3) - 1)) - 1) - 3)/(-1(-3((1(-2e^(1(4(5x + 4) - 4)) + 3) - 3)/(2(-2e^(1(4(5x + 4) - 4)) + 3) - 1)) - 1) + 3) and g(x) = 5(-1(-2(-1|(3x^2 + 3x - 1) - 3| + 1) - 5)^2 + 1(-2(-1|(3x^2 + 3x - 1) - 3| + 1) - 5) + 4) + 4 from x = 0.3 to x = 1.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (1(-5(1(3(-3(-3x^2 - 1x + 4)^2 + 4) + 2)^2 - 1(3(-3(-3x^2 - 1x + 4)^2 + 4) + 2) - 5) + 1))/(-1(-5(1(3(-3(-3x^2 - 1x + 4)^2 + 4) + 2)^2 - 1(3(-3(-3x^2 - 1x + 4)^2 + 4) + 2) - 5) + 1)) and g(x) = -1(-1(-1|(-3sin(1π(-2x + 2) + 3) + 2) + 3| - 1) - 5)^2 + 2(-1(-1|(-3sin(1π(-2x + 2) + 3) + 2) + 3| - 1) - 5) + 2 from x = 0.4 to x = 0.6. 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|(-4(-5(-3(1x + 1)^2 + 1(1x + 1) + 4) + 4) - 4)| - 2) + 2| - 2 and g(x) = -4(-2|(5(2((1x)/(-2x - 3))^2 - 5((1x)/(-2x - 3)) - 4) + 5) - 3| + 2) + 5 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) = -5(-2((2(-4(-1((-2x - 2)/(-2x - 3)) - 3) - 4) + 3)/(-2(-4(-1((-2x - 2)/(-2x - 3)) - 3) - 4) - 1)) - 1)^2 - 1(-2((2(-4(-1((-2x - 2)/(-2x - 3)) - 3) - 4) + 3)/(-2(-4(-1((-2x - 2)/(-2x - 3)) - 3) - 4) - 1)) - 1) - 1 and g(x) = -3|(1|((-1(-4((3x - 3)/(3x - 2)) - 3) + 1)/(2(-4((3x - 3)/(3x - 2)) - 3) + 3))| - 3) + 2| + 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) = (3(1|(2(1(-2(3|x| - 2) + 4))^2 + 2(1(-2(3|x| - 2) + 4)) + 3) - 3|) + 2)/(2(1|(2(1(-2(3|x| - 2) + 4))^2 + 2(1(-2(3|x| - 2) + 4)) + 3) - 3|) - 3) and g(x) = (-3(4(3cos(1π(-1|(4x - 3) - 2| + 3) - 3) - 3)^2 + 1(3cos(1π(-1|(4x - 3) - 2| + 3) - 3) - 3) + 4) - 3)/(3(4(3cos(1π(-1|(4x - 3) - 2| + 3) - 3) - 3)^2 + 1(3cos(1π(-1|(4x - 3) - 2| + 3) - 3) - 3) + 4) - 1) between the vertical lines x = -1.5 and x = -1.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3cos(3π(2|(5((3(-1(-1|x + 3| + 1) - 2) + 2)/(-2(-1(-1|x + 3| + 1) - 2) - 2)) - 3) - 3| - 1) + 1) - 3, g(x) = -3cos(2π(-1((3(-1|(4x - 5) + 1|) + 1)/(3(-1|(4x - 5) + 1|) + 1)) + 2) + 2) - 2, x = -1.3, and x = -1.2. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(2(-5((-3(3cos(3π(1x^2 - 4x - 2) + 3) - 2) - 1)/(2(3cos(3π(1x^2 - 4x - 2) + 3) - 2))) + 2)^2 + 3(-5((-3(3cos(3π(1x^2 - 4x - 2) + 3) - 2) - 1)/(2(3cos(3π(1x^2 - 4x - 2) + 3) - 2))) + 2) - 4) + 3)/(2(2(-5((-3(3cos(3π(1x^2 - 4x - 2) + 3) - 2) - 1)/(2(3cos(3π(1x^2 - 4x - 2) + 3) - 2))) + 2)^2 + 3(-5((-3(3cos(3π(1x^2 - 4x - 2) + 3) - 2) - 1)/(2(3cos(3π(1x^2 - 4x - 2) + 3) - 2))) + 2) - 4) - 1), g(x) = -1((2((-1((3(2e^(2x) + 3) - 1)/(2(2e^(2x) + 3) + 3)) - 3)/(-1((3(2e^(2x) + 3) - 1)/(2(2e^(2x) + 3) + 3)) - 1)))/(-1((-1((3(2e^(2x) + 3) - 1)/(2(2e^(2x) + 3) + 3)) - 3)/(-1((3(2e^(2x) + 3) - 1)/(2(2e^(2x) + 3) + 3)) - 1)) + 3)) + 5, x = -2.1, 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) = (2(3(1|(1((3(-4x^2 - 2x - 2) - 1)/(1(-4x^2 - 2x - 2) + 2)) - 3) + 3| - 2)) + 3)/(-3(3(1|(1((3(-4x^2 - 2x - 2) - 1)/(1(-4x^2 - 2x - 2) + 2)) - 3) + 3| - 2)) - 1) and g(x) = -3((-3(4(2|((-3x - 3)/(-3x)) + 2| - 2)^2 - 5(2|((-3x - 3)/(-3x)) + 2| - 2) - 5) - 1)/(2(4(2|((-3x - 3)/(-3x)) + 2| - 2)^2 - 5(2|((-3x - 3)/(-3x)) + 2| - 2) - 5) + 3)) - 4 between the vertical lines x = -0.3 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) = -5((-1((1(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) + 2)/(2(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) - 3)) + 2)/(1((1(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) + 2)/(2(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) - 3))))^2 + 3((-1((1(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) + 2)/(2(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) - 3)) + 2)/(1((1(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) + 2)/(2(2cos(3π((-2(-2x^2 - 4x + 2) + 3)/(-1(-2x^2 - 4x + 2) + 2)) + 1) + 2) - 3)))) + 2, g(x) = -5(-2e^(-1(1((-1((2x + 2)/(2x)) + 3)/(2((2x + 2)/(2x)) + 2))^2 - 5((-1((2x + 2)/(2x)) + 3)/(2((2x + 2)/(2x)) + 2)))) + 3) + 5, x = 0.2, and x = 0.30000000000000004. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2((-1((-3(-1(4(-1x + 5) - 5) + 3) - 1)/(2(-1(4(-1x + 5) - 5) + 3) - 1)))/(-1((-3(-1(4(-1x + 5) - 5) + 3) - 1)/(2(-1(4(-1x + 5) - 5) + 3) - 1)) - 3))^2 - 3((-1((-3(-1(4(-1x + 5) - 5) + 3) - 1)/(2(-1(4(-1x + 5) - 5) + 3) - 1)))/(-1((-3(-1(4(-1x + 5) - 5) + 3) - 1)/(2(-1(4(-1x + 5) - 5) + 3) - 1)) - 3)) - 1 and g(x) = -1sin(3π(-3(-1|((3(-3|x - 1| + 1) + 2)/(-1(-3|x - 1| + 1) + 2)) - 2| + 2)^2 - 2(-1|((3(-3|x - 1| + 1) + 2)/(-1(-3|x - 1| + 1) + 2)) - 2| + 2) + 5) + 1) + 1 from x = -0.8 to x = -0.7. Round to 1 decimal place.

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Calculate the area enclosed between the functions f(x) = -1|(-1|(1(-2((3((-3x + 1)/(1x + 3)))/(2((-3x + 1)/(1x + 3)) + 2)) + 5))|)| + 2 and g(x) = -1sin(3π(5((-3((2(-2|x - 1| + 3) + 1)/(-3(-2|x - 1| + 3) + 4)))/(3((2(-2|x - 1| + 3) + 1)/(-3(-2|x - 1| + 3) + 4)) + 3))^2 + 5((-3((2(-2|x - 1| + 3) + 1)/(-3(-2|x - 1| + 3) + 4)))/(3((2(-2|x - 1| + 3) + 1)/(-3(-2|x - 1| + 3) + 4)) + 3)) - 2)) - 1 from x = -2.4 to x = -2.3. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(3((1(-2(-3|((3x + 2)/(-1x - 3)) - 1| + 1)^2 + 3(-3|((3x + 2)/(-1x - 3)) - 1| + 1) + 5) - 1)/(1(-2(-3|((3x + 2)/(-1x - 3)) - 1| + 1)^2 + 3(-3|((3x + 2)/(-1x - 3)) - 1| + 1) + 5) + 3)) + 5))/(1(3((1(-2(-3|((3x + 2)/(-1x - 3)) - 1| + 1)^2 + 3(-3|((3x + 2)/(-1x - 3)) - 1| + 1) + 5) - 1)/(1(-2(-3|((3x + 2)/(-1x - 3)) - 1| + 1)^2 + 3(-3|((3x + 2)/(-1x - 3)) - 1| + 1) + 5) + 3)) + 5) + 3) and g(x) = 1((3(-3|(-2cos(3π(-5x^2 + 1x + 2)) - 1) + 2|) + 1)/(-1(-3|(-2cos(3π(-5x^2 + 1x + 2)) - 1) + 2|) + 3)) - 3 between the vertical lines x = -1.5 and x = -0.8. Round to 1 decimal place.

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Find the area of the region bounded by the curves f(x) = 1|(3(-3|(-1cos(3π(-5(-3|x - 1| - 2)^2 - 2(-3|x - 1| - 2) + 3) + 1) + 1) - 3| + 3)^2 + 4(-3|(-1cos(3π(-5(-3|x - 1| - 2)^2 - 2(-3|x - 1| - 2) + 3) + 1) + 1) - 3| + 3) + 4) - 3| - 2, g(x) = -1(2e^(-1(1|(5(3x^2 - 3x + 1) + 5) + 2| - 3)) - 2)^2 - 4(2e^(-1(1|(5(3x^2 - 3x + 1) + 5) + 2| - 3)) - 2) + 4, x = 3.5, and x = 3.6. 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) = 1e^(-2(-1|(-5((-1((-1((-1x - 2)/(3x + 2)) - 1)/(-2((-1x - 2)/(3x + 2)) + 3)) - 2)/(2((-1((-1x - 2)/(3x + 2)) - 1)/(-2((-1x - 2)/(3x + 2)) + 3)) - 3))) - 1| + 2)) - 3 and g(x) = 3sin(1π(5((-1(-5(-2|x - 3|)^2 - 2(-2|x - 3|) - 1) + 2)/(-3(-5(-2|x - 3|)^2 - 2(-2|x - 3|) - 1) + 1))^2 - 1((-1(-5(-2|x - 3|)^2 - 2(-2|x - 3|) - 1) + 2)/(-3(-5(-2|x - 3|)^2 - 2(-2|x - 3|) - 1) + 1)) - 1) + 2) - 1 between the vertical lines x = -1.1 and x = -0.9. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3(4(1|((-1((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)))/(2((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)) - 1)) - 1| - 3)^2 + 4(1|((-1((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)))/(2((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)) - 1)) - 1| - 3) + 2)^2 + 3(4(1|((-1((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)))/(2((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)) - 1)) - 1| - 3)^2 + 4(1|((-1((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)))/(2((2((-2x + 2)/(-2x - 3)) + 1)/(3((-2x + 2)/(-2x - 3)) + 1)) - 1)) - 1| - 3) + 2) - 2, g(x) = 2|((1((-3((1(2|x + 3|) - 3)/(-2(2|x + 3|))) - 2)/(1((1(2|x + 3|) - 3)/(-2(2|x + 3|))) - 3)) - 2)/(-3((-3((1(2|x + 3|) - 3)/(-2(2|x + 3|))) - 2)/(1((1(2|x + 3|) - 3)/(-2(2|x + 3|))) - 3)) - 1)) + 3| - 2, x = -0.1, and x = 0.0. 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) = 2sin(1π((-3(4((2((1(5x^2 + 1) + 1)/(1(5x^2 + 1) + 3)) + 1)/(-3((1(5x^2 + 1) + 1)/(1(5x^2 + 1) + 3)))) + 1) + 1)/(-1(4((2((1(5x^2 + 1) + 1)/(1(5x^2 + 1) + 3)) + 1)/(-3((1(5x^2 + 1) + 1)/(1(5x^2 + 1) + 3)))) + 1) + 3)) - 1) - 2 and g(x) = -2|(-2(-3sin(1π(2|(5x^2 - 5x - 4) + 2| - 2) + 1) - 2) + 2)| - 3 between the vertical lines x = 2.8 and x = 2.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-5(3(2|(4(-5x^2 - 3x + 1)^2 + 2(-5x^2 - 3x + 1) - 1) - 3| - 2) + 4) + 1) + 4 and g(x) = 2|(-2|((2(-1(-1cos(1πx - 3) - 1) + 4) + 2)/(1(-1(-1cos(1πx - 3) - 1) + 4))) - 3| - 1) + 3| between the vertical lines x = -0.6 and x = 0.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(-1(4(5(-1|(5x + 2)| + 1)^2 + 1(-1|(5x + 2)| + 1) - 2) + 3)^2 + 5(4(5(-1|(5x + 2)| + 1)^2 + 1(-1|(5x + 2)| + 1) - 2) + 3) - 5) + 1| - 2 and g(x) = 5((2(3|(-4(4x^2 - 2x + 5)^2 - 2(4x^2 - 2x + 5) - 1) + 3| - 2))/(-3(3|(-4(4x^2 - 2x + 5)^2 - 2(4x^2 - 2x + 5) - 1) + 3| - 2))) - 2 from x = -0.3 to x = -0.1. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-2|(-2((2(3(-1sin(2πx - 1) + 3)^2 - 3(-1sin(2πx - 1) + 3)) + 2)/(1(3(-1sin(2πx - 1) + 3)^2 - 3(-1sin(2πx - 1) + 3)) - 2))^2 + 2((2(3(-1sin(2πx - 1) + 3)^2 - 3(-1sin(2πx - 1) + 3)) + 2)/(1(3(-1sin(2πx - 1) + 3)^2 - 3(-1sin(2πx - 1) + 3)) - 2)) + 2) + 3| - 1) + 4 and g(x) = (-1(-4(1cos(2π(4((1x + 2)/(-1x - 3))^2 - 1((1x + 2)/(-1x - 3)) + 1) + 1))^2 - 2(1cos(2π(4((1x + 2)/(-1x - 3))^2 - 1((1x + 2)/(-1x - 3)) + 1) + 1)) + 4) - 3)/(-2(-4(1cos(2π(4((1x + 2)/(-1x - 3))^2 - 1((1x + 2)/(-1x - 3)) + 1) + 1))^2 - 2(1cos(2π(4((1x + 2)/(-1x - 3))^2 - 1((1x + 2)/(-1x - 3)) + 1) + 1)) + 4) + 3) between the vertical lines x = 1.0 and x = 3.4. Round to 1 decimal place.

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Calculate the area enclosed between the functions f(x) = (-3(-1|(1(-1cos(3π(5(3x - 5) + 4) - 2) - 3) - 2) + 3| + 2) + 1)/(-1(-1|(1(-1cos(3π(5(3x - 5) + 4) - 2) - 3) - 2) + 3| + 2)) and g(x) = -1|(-1|((1((1(-3|x + 1| - 1) + 3)/(-2(-3|x + 1| - 1) - 2)) - 1)/(2((1(-3|x + 1| - 1) + 3)/(-2(-3|x + 1| - 1) - 2)) - 3)) - 2|) - 3| from x = -4.7 to x = -4.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5(-4(3sin(3π(-1|((-1(-1|x + 3|) - 1)/(1(-1|x + 3|))) + 1| + 1) + 1) + 1)^2 + 4) and g(x) = (-1(-5(3|(-3e^(2(-1x^2 - 5x - 3))) + 3| - 2)^2 + 1(3|(-3e^(2(-1x^2 - 5x - 3))) + 3| - 2) - 2) + 1)/(-2(-5(3|(-3e^(2(-1x^2 - 5x - 3))) + 3| - 2)^2 + 1(3|(-3e^(2(-1x^2 - 5x - 3))) + 3| - 2) - 2) - 2) from x = -3.2 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|((2((2((-2(3x^2 - 4x - 3) + 2)/(2(3x^2 - 4x - 3) + 1)) + 2)/(3((-2(3x^2 - 4x - 3) + 2)/(2(3x^2 - 4x - 3) + 1)) + 2)) - 2)/(1((2((-2(3x^2 - 4x - 3) + 2)/(2(3x^2 - 4x - 3) + 1)) + 2)/(3((-2(3x^2 - 4x - 3) + 2)/(2(3x^2 - 4x - 3) + 1)) + 2))))| - 3) + 3 and g(x) = (-2((3(-2(-5(-1x^2 + 4x + 4) - 2)^2 - 3(-5(-1x^2 + 4x + 4) - 2) + 5) + 3)/(-1(-2(-5(-1x^2 + 4x + 4) - 2)^2 - 3(-5(-1x^2 + 4x + 4) - 2) + 5) - 3)) + 3)/(2((3(-2(-5(-1x^2 + 4x + 4) - 2)^2 - 3(-5(-1x^2 + 4x + 4) - 2) + 5) + 3)/(-1(-2(-5(-1x^2 + 4x + 4) - 2)^2 - 3(-5(-1x^2 + 4x + 4) - 2) + 5) - 3)) + 3) between the vertical lines x = -0.9 and 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) = 1|((-1((1(-4(3e^(1(5x + 1)) + 2) - 2) - 3)/(1(-4(3e^(1(5x + 1)) + 2) - 2) + 1)) + 3)/(2((1(-4(3e^(1(5x + 1)) + 2) - 2) - 3)/(1(-4(3e^(1(5x + 1)) + 2) - 2) + 1)) - 3)) + 1| - 1 and g(x) = -3cos(1π(1|(1(-3((-1x - 3)/(-1x - 1))^2 - 4((-1x - 3)/(-1x - 1)) - 3) - 5)| + 3) + 2) - 1 between the vertical lines x = -0.1 and x = 0.0. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1((1(5(-3|(2e^(-1(-5x + 1)) - 3)| + 3)^2 - 3(-3|(2e^(-1(-5x + 1)) - 3)| + 3) - 4) + 3)/(-2(5(-3|(2e^(-1(-5x + 1)) - 3)| + 3)^2 - 3(-3|(2e^(-1(-5x + 1)) - 3)| + 3) - 4) + 3)) and g(x) = (-2(2|((1(-3e^(2(-4x^2 + 3x - 4)) + 1) - 2)/(1(-3e^(2(-4x^2 + 3x - 4)) + 1))) - 3| - 2) - 3)/(3(2|((1(-3e^(2(-4x^2 + 3x - 4)) + 1) - 2)/(1(-3e^(2(-4x^2 + 3x - 4)) + 1))) - 3| - 2) - 1) from x = 0.2 to x = 0.3. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-4(3(-2|(-2cos(3π((2x)/(-2x - 2)) + 2) + 1) - 1| + 2) + 4)^2 + 3(3(-2|(-2cos(3π((2x)/(-2x - 2)) + 2) + 1) - 1| + 2) + 4) + 1) and g(x) = 4(-3|(3sin(1π(5(2|x + 2| - 3)^2 - 3(2|x + 2| - 3) - 1) - 2) + 2) + 1| - 3)^2 + 4(-3|(3sin(1π(5(2|x + 2| - 3)^2 - 3(2|x + 2| - 3) - 1) - 2) + 2) + 1| - 3) - 4 between the vertical lines x = 1.9 and x = 2.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(1sin(3π((-2(-1(-4(-4x + 4))^2 - 5(-4(-4x + 4)) - 3) + 3)/(-1(-1(-4(-4x + 4))^2 - 5(-4(-4x + 4)) - 3) + 3)) - 3)) - 3 and g(x) = (3(4(-2cos(2π(2|(5x^2 - 3x - 5) + 3| + 2) + 1) - 2) + 2) - 3)/(-3(4(-2cos(2π(2|(5x^2 - 3x - 5) + 3| + 2) + 1) - 2) + 2)) from x = -2.9 to x = -2.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-2(1|(1|((-2(2e^(2((-1x + 1)/(2x - 1))) - 2) - 3)/(-3(2e^(2((-1x + 1)/(2x - 1))) - 2) + 1)) + 1| - 1) - 3|) - 3)/(-1(1|(1|((-2(2e^(2((-1x + 1)/(2x - 1))) - 2) - 3)/(-3(2e^(2((-1x + 1)/(2x - 1))) - 2) + 1)) + 1| - 1) - 3|) + 3), g(x) = -4(5(2cos(3π(-1|(-1x^2 + 4x + 1) - 3|) - 3)) + 4) + 2, x = 0.6, and x = 0.8. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(1cos(1π(-5((-3(-3|((-2x - 1)/(-1x + 2)) + 2|) - 2)/(-1(-3|((-2x - 1)/(-1x + 2)) + 2|) - 3))) - 3) + 1)^2 + 2 and g(x) = -4((2((2(2|(-1x^2 + 1x + 4) - 3| - 1) + 2)/(-3(2|(-1x^2 + 1x + 4) - 3| - 1))) - 3)/(2((2(2|(-1x^2 + 1x + 4) - 3| - 1) + 2)/(-3(2|(-1x^2 + 1x + 4) - 3| - 1))) - 1)) between the vertical lines x = -0.4 and x = -0.3. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(3|(1(-1(2|((-3x + 1)/(-1x + 2)) - 3| + 1) - 2)^2 + 4(-1(2|((-3x + 1)/(-1x + 2)) - 3| + 1) - 2) + 5) + 3| - 2) and g(x) = 2|(5(-1sin(1π(1|(2x + 5) - 3| + 2) - 2) - 3)^2 - 5(-1sin(1π(1|(2x + 5) - 3| + 2) - 2) - 3)) - 1| + 2 between the vertical lines x = 3.5 and x = 3.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3|(1sin(1π(1(1(1(-1x^2 + 5x - 3)^2 + 2(-1x^2 + 5x - 3) - 3) + 4) + 1) + 2) - 1) - 1| + 3 and g(x) = -4(-1(-1((-2((-1x + 1)/(2x + 1)) - 1)/(1((-1x + 1)/(2x + 1)) + 1))^2 - 5((-2((-1x + 1)/(2x + 1)) - 1)/(1((-1x + 1)/(2x + 1)) + 1)) - 2)^2 + 1(-1((-2((-1x + 1)/(2x + 1)) - 1)/(1((-1x + 1)/(2x + 1)) + 1))^2 - 5((-2((-1x + 1)/(2x + 1)) - 1)/(1((-1x + 1)/(2x + 1)) + 1)) - 2) - 3) - 3 from x = -1.3 to x = -1.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2(-5(-4(-3cos(2π(-3|(-4x - 5) - 3| - 2) - 2) + 1) - 3)^2 - 1(-4(-3cos(2π(-3|(-4x - 5) - 3| - 2) - 2) + 1) - 3) - 5) + 1)/(-3(-5(-4(-3cos(2π(-3|(-4x - 5) - 3| - 2) - 2) + 1) - 3)^2 - 1(-4(-3cos(2π(-3|(-4x - 5) - 3| - 2) - 2) + 1) - 3) - 5)) and g(x) = 2((-2(-3cos(1π(-5((1x)/(3x + 1))^2 - 1((1x)/(3x + 1))) - 2) + 1) - 3)/(-3(-3cos(1π(-5((1x)/(3x + 1))^2 - 1((1x)/(3x + 1))) - 2) + 1) - 2)) - 4 from x = -0.4 to x = -0.30000000000000004. 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(-1(2sin(1π(-4x^2 - 3x + 1)) + 1) - 4) - 3) - 3) + 1)/(1(3(-1(-1(2sin(1π(-4x^2 - 3x + 1)) + 1) - 4) - 3) - 3) - 2) and g(x) = (-1(2|(3(-1cos(1π(5x^2 + 5x - 5) - 3) + 3) - 5)| + 1) + 1)/(1(2|(3(-1cos(1π(5x^2 + 5x - 5) - 3) + 3) - 5)| + 1) - 3) between the vertical lines x = -4.9 and x = -4.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3|(-3cos(3π(4(3|(5(-1x^2 - 5x + 3)^2 - 4(-1x^2 - 5x + 3) + 4) - 2| - 2) - 5) - 1) - 1) + 3| - 1 and g(x) = (2((-1((-2(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)/(1(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)) - 1)/(2((-2(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)/(1(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)) + 1)) - 3)/(1((-1((-2(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)/(1(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)) - 1)/(2((-2(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)/(1(4(4x^2 - 4)^2 + 2(4x^2 - 4)) + 1)) + 1))) from x = -3.9 to x = -3.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 4((1(2|(-3|(2(-2x) + 4)| - 2) + 2| - 1) + 3)/(-3(2|(-3|(2(-2x) + 4)| - 2) + 2| - 1) - 2))^2 + 5((1(2|(-3|(2(-2x) + 4)| - 2) + 2| - 1) + 3)/(-3(2|(-3|(2(-2x) + 4)| - 2) + 2| - 1) - 2)) - 3, g(x) = 5(-5((-3(-4(1x^2 - 4) - 1) - 2)/(3(-4(1x^2 - 4) - 1) - 2)) + 2)^2 - 2(-5((-3(-4(1x^2 - 4) - 1) - 2)/(3(-4(1x^2 - 4) - 1) - 2)) + 2) - 4, x = 1.0, and x = 1.1. 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) = 2|(-4((-1((3(-2(2|x|) + 4) - 3)/(-2(-2(2|x|) + 4) - 3)) + 2)/(-2((3(-2(2|x|) + 4) - 3)/(-2(-2(2|x|) + 4) - 3)) - 1)) - 5)| - 2 and g(x) = (1(2|(-1(2|((-2x - 3)/(2x - 3)) - 2| - 3) + 2) - 3| + 2) + 1)/(-2(2|(-1(2|((-2x - 3)/(2x - 3)) - 2| - 3) + 2) - 3| + 2) - 1) between the vertical lines x = -0.8 and x = 0.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1cos(2π(2((1(3|(2((2x + 2)/(2x + 1)))| + 2) - 2)/(-2(3|(2((2x + 2)/(2x + 1)))| + 2))) - 5) + 2), g(x) = 4((-3(-2(-3(1x + 2) - 3)^2 - 5(-3(1x + 2) - 3) - 2) + 3)/(1(-2(-3(1x + 2) - 3)^2 - 5(-3(1x + 2) - 3) - 2))) - 2, x = -2.7, and x = -2.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4((-2(-2((2(-2|(-3x - 5) + 1|) - 2)/(3(-2|(-3x - 5) + 1|) - 2)) - 4) - 2)/(-2(-2((2(-2|(-3x - 5) + 1|) - 2)/(3(-2|(-3x - 5) + 1|) - 2)) - 4) + 1))^2 - 5((-2(-2((2(-2|(-3x - 5) + 1|) - 2)/(3(-2|(-3x - 5) + 1|) - 2)) - 4) - 2)/(-2(-2((2(-2|(-3x - 5) + 1|) - 2)/(3(-2|(-3x - 5) + 1|) - 2)) - 4) + 1)) + 3 and g(x) = -1((2(-2|(2|((-1x + 1)/(2x - 3))|) - 3| + 1) - 2)/(3(-2|(2|((-1x + 1)/(2x - 3))|) - 3| + 1) - 1))^2 + 1((2(-2|(2|((-1x + 1)/(2x - 3))|) - 3| + 1) - 2)/(3(-2|(2|((-1x + 1)/(2x - 3))|) - 3| + 1) - 1)) from x = 1.4 to x = 1.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (2(-2|(1(2|(-2|(4x) - 3| + 2) + 3|) - 2) - 2| - 2) + 2)/(2(-2|(1(2|(-2|(4x) - 3| + 2) + 3|) - 2) - 2| - 2) - 1), g(x) = 2(-3cos(2π(2|(-4(1x - 3) - 3) + 2| - 1) + 3) + 3)^2 - 5(-3cos(2π(2|(-4(1x - 3) - 3) + 2| - 1) + 3) + 3), x = 4.2, and x = 4.3. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -4(-2sin(2π((2(-3|(1|(-1x^2 + 3x - 3) - 2| - 1) + 2| + 1))/(1(-3|(1|(-1x^2 + 3x - 3) - 2| - 1) + 2| + 1) + 3)) + 1) + 2) + 5, g(x) = -1(3|((1(2(-2x + 4) - 5) - 3)/(-2(2(-2x + 4) - 5) - 1)) - 3| + 2)^2 + 5(3|((1(2(-2x + 4) - 5) - 3)/(-2(2(-2x + 4) - 5) - 1)) - 3| + 2) + 4, x = 0.6, and x = 0.8. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(-2e^(1(-4(-4(1(-1x - 3) - 4)^2 + 1(1(-1x - 3) - 4) + 2)^2 - 1(-4(1(-1x - 3) - 4)^2 + 1(1(-1x - 3) - 4) + 2) - 3)) - 1) - 4 and g(x) = -2|((-1(2|(-5(1e^(1x) - 2) + 1) + 3| - 2) + 1)/(-1(2|(-5(1e^(1x) - 2) + 1) + 3| - 2) - 1)) + 1| + 1 from x = 1.0 to x = 1.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (3(5(-1(1sin(1π(1|((1x - 1)/(2x + 2)) + 2| + 1) + 1) - 2) - 3) + 5) + 1)/(-3(5(-1(1sin(1π(1|((1x - 1)/(2x + 2)) + 2| + 1) + 1) - 2) - 3) + 5) - 3) and g(x) = -1(-4(1e^(1((1(3x - 3) + 1)/(2(3x - 3)))) - 2) - 2)^2 - 2(-4(1e^(1((1(3x - 3) + 1)/(2(3x - 3)))) - 2) - 2) from x = -0.7 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|(-3sin(2π(-2|((1(4x + 2) + 3)/(1(4x + 2))) + 3| - 1) - 1) - 3) - 1| + 1)^2 + 3(1|(-3sin(2π(-2|((1(4x + 2) + 3)/(1(4x + 2))) + 3| - 1) - 1) - 3) - 1| + 1) + 1, g(x) = 1|((-3((-2((-1(1x + 2))/(2(1x + 2) - 1)) + 2)/(3((-1(1x + 2))/(2(1x + 2) - 1)) + 2)) - 2)/(-1((-2((-1(1x + 2))/(2(1x + 2) - 1)) + 2)/(3((-1(1x + 2))/(2(1x + 2) - 1)) + 2)) + 3)) + 1|, x = -3.4, and x = -3.3. 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) = 1|(-5(2e^(-1((1((-1(2x - 5) + 1)/(-3(2x - 5) - 2)) - 2)/(-1((-1(2x - 5) + 1)/(-3(2x - 5) - 2)) + 3))) + 3) + 1) + 3| + 3 and g(x) = 1|(-4(-4(1cos(1π(2|x + 2| - 3)) + 1)^2 - 3(1cos(1π(2|x + 2| - 3)) + 1) - 3) + 3) - 1| - 3 between the vertical lines x = -1.8 and x = -1.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2(-2e^(2(4(1(-2(-1|x + 3| + 3) - 5) + 2)^2 - 4(1(-2(-1|x + 3| + 3) - 5) + 2) - 2)) - 1) + 2)/(-1(-2e^(2(4(1(-2(-1|x + 3| + 3) - 5) + 2)^2 - 4(1(-2(-1|x + 3| + 3) - 5) + 2) - 2)) - 1) + 2) and g(x) = -1(-1((2((-1(2|x + 3| - 2) - 3)/(-1(2|x + 3| - 2) + 2)) - 2)/(1((-1(2|x + 3| - 2) - 3)/(-1(2|x + 3| - 2) + 2)) + 2)) - 5) + 2 from x = -3.8 to x = -2.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(-3|((3(1|(3sin(2π(1x - 1)) + 2)| - 1) - 3)/(-2(1|(3sin(2π(1x - 1)) + 2)| - 1) - 3)) - 3| + 1) + 3| and g(x) = -4((2((-2((2(-1|x - 2| + 1))/(-2(-1|x - 2| + 1) - 1)) + 2)/(3((2(-1|x - 2| + 1))/(-2(-1|x - 2| + 1) - 1)) + 2)))/(1((-2((2(-1|x - 2| + 1))/(-2(-1|x - 2| + 1) - 1)) + 2)/(3((2(-1|x - 2| + 1))/(-2(-1|x - 2| + 1) - 1)) + 2)) + 2)) + 2 from x = 2.0 to x = 2.5. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (-1(-5((-2(-4((3(1cos(1πx - 2)) - 3)/(-1(1cos(1πx - 2)) - 2)) + 2) - 1)/(2(-4((3(1cos(1πx - 2)) - 3)/(-1(1cos(1πx - 2)) - 2)) + 2) - 1)) - 4) + 1)/(3(-5((-2(-4((3(1cos(1πx - 2)) - 3)/(-1(1cos(1πx - 2)) - 2)) + 2) - 1)/(2(-4((3(1cos(1πx - 2)) - 3)/(-1(1cos(1πx - 2)) - 2)) + 2) - 1)) - 4) + 3) and g(x) = 2(-4((-2(4(-2|x - 2| + 2)^2 - 5(-2|x - 2| + 2)))/(-2(4(-2|x - 2| + 2)^2 - 5(-2|x - 2| + 2)))) + 2) - 4 from x = -1.8 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) = 5(1(-3cos(3π(-2(1(2x^2 + 4x - 1)^2 + 1(2x^2 + 4x - 1) - 4)^2 - 5(1(2x^2 + 4x - 1)^2 + 1(2x^2 + 4x - 1) - 4) - 2) - 2) + 3) - 3) - 3 and g(x) = 5(-3sin(3π(1(5((-1x + 2)/(-3x + 2)) + 4) + 1) - 3) + 2)^2 - 3(-3sin(3π(1(5((-1x + 2)/(-3x + 2)) + 4) + 1) - 3) + 2) - 4 between the vertical lines x = -2.8 and x = -2.6999999999999997. 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|(-1sin(3π((3x - 1)/(-3x + 1)) - 2) - 2) + 1| - 3) + 3)/(-2(-1|(-1sin(3π((3x - 1)/(-3x + 1)) - 2) - 2) + 1| - 3) + 1)) - 2) - 1| and g(x) = (-3(-2(2((-1(-2x^2 + 3x) - 3)/(-2(-2x^2 + 3x) - 1)) - 2) - 1) + 3)/(-1(-2(2((-1(-2x^2 + 3x) - 3)/(-2(-2x^2 + 3x) - 1)) - 2) - 1) - 2) between the vertical lines x = -0.4 and x = 1.9. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2|(5((-3(-3(1cos(2π(-1|x| - 1) - 1) - 3) - 2) - 1)/(3(-3(1cos(2π(-1|x| - 1) - 1) - 3) - 2) - 1)) - 1) + 3| - 2 and g(x) = (-3(-4(-5(-3sin(1π(1x + 1) + 2)) + 5) - 1) - 2)/(-2(-4(-5(-3sin(1π(1x + 1) + 2)) + 5) - 1)) from x = 2.2 to x = 3.5. 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(4(1(2sin(1π(3|x + 3| - 3) - 2) - 3)^2 + 2(2sin(1π(3|x + 3| - 3) - 2) - 3)) - 5) - 3)^2 + 2(1(4(1(2sin(1π(3|x + 3| - 3) - 2) - 3)^2 + 2(2sin(1π(3|x + 3| - 3) - 2) - 3)) - 5) - 3) - 5 and g(x) = -4(-1((3(1((-2x + 2)/(-3x))^2 + 2) + 2)/(1(1((-2x + 2)/(-3x))^2 + 2))) + 3)^2 + 5(-1((3(1((-2x + 2)/(-3x))^2 + 2) + 2)/(1(1((-2x + 2)/(-3x))^2 + 2))) + 3) + 1 between the vertical lines x = -4.5 and x = -4.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3((-3(2(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2)^2 - 4(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2) - 3) - 1)/(-3(2(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2)^2 - 4(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2) - 3) - 3))^2 - 3((-3(2(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2)^2 - 4(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2) - 3) - 1)/(-3(2(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2)^2 - 4(-1e^(2(-2(1x - 4)^2 - 4(1x - 4) + 1)) + 2) - 3) - 3)) + 5 and g(x) = (-1(2sin(1π(1(-5(-2|x + 3| + 1) - 1) + 1) - 2) + 1) - 3)/(3(2sin(1π(1(-5(-2|x + 3| + 1) - 1) + 1) - 2) + 1) - 2) from x = -0.3 to 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(-2|(2(-2(3|(-3|x + 3| + 2) - 1|) + 2) - 1) - 2| - 1) - 2, g(x) = 4(-5((-1(1|(2x + 3) + 1| - 3))/(1(1|(2x + 3) + 1| - 3) - 2))^2 + 2) + 1, x = -3.2, and x = -2.8. 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(-2((-2(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) + 1)/(-1(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) - 2))^2 - 4((-2(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) + 1)/(-1(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) - 2)) + 5) - 5)^2 - 5(-2(-2((-2(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) + 1)/(-1(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) - 2))^2 - 4((-2(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) + 1)/(-1(1(-3x^2 - 3x - 1)^2 - 1(-3x^2 - 3x - 1) - 1) - 2)) + 5) - 5) - 5, g(x) = (-1(-2|(-1|(-1|((1x)/(1x - 2)) - 3| - 3) - 1| - 1)| + 2) - 3)/(-2(-2|(-1|(-1|((1x)/(1x - 2)) - 3| - 3) - 1| - 1)| + 2) + 3), x = -1.2, and x = 0.2. 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) = -2|(-2|(1sin(1π((2(5(-1|x - 2| - 1)^2 - 4(-1|x - 2| - 1) - 1) - 3)/(2(5(-1|x - 2| - 1)^2 - 4(-1|x - 2| - 1) - 1) + 3)) - 1) - 3) - 1| + 3)| and g(x) = (2((-3(-1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x)))^2 - 1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x))) - 2) + 2)/(1(-1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x)))^2 - 1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x))) - 2))) - 1)/(-1((-3(-1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x)))^2 - 1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x))) - 2) + 2)/(1(-1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x)))^2 - 1((-3(3x^2 + 5x) - 1)/(-2(3x^2 + 5x))) - 2))) - 2) between the vertical lines x = -1.7 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) = -3|(-3((2(4(3|((2x + 2)/(-1x - 3)) + 2| - 2) - 1) + 1)/(-2(4(3|((2x + 2)/(-1x - 3)) + 2| - 2) - 1) - 3))^2 + 5((2(4(3|((2x + 2)/(-1x - 3)) + 2| - 2) - 1) + 1)/(-2(4(3|((2x + 2)/(-1x - 3)) + 2| - 2) - 1) - 3)) - 3) - 2| - 1 and g(x) = -2(-3(-1|(-1|(5x + 4) + 2| + 2) - 1|) - 4) + 5 between the vertical lines x = -3.2 and x = 0.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3((-3(1((1(3(-3|x - 2|) - 5) + 1)/(1(3(-3|x - 2|) - 5))) - 1))/(3(1((1(3(-3|x - 2|) - 5) + 1)/(1(3(-3|x - 2|) - 5))) - 1) - 2)) - 2 and g(x) = -1|(5((-1(1((1x + 3)/(-2x)) + 1) - 3)/(-1(1((1x + 3)/(-2x)) + 1) + 2)) + 4) + 2| between the vertical lines x = 1.3 and x = 3.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-2|((-2(4(-1sin(3π(1|x - 2| + 2)) + 3)^2 + 2(-1sin(3π(1|x - 2| + 2)) + 3) + 3) - 2)/(1(4(-1sin(3π(1|x - 2| + 2)) + 3)^2 + 2(-1sin(3π(1|x - 2| + 2)) + 3) + 3) + 3)) + 3| - 2) - 2)/(2(-2|((-2(4(-1sin(3π(1|x - 2| + 2)) + 3)^2 + 2(-1sin(3π(1|x - 2| + 2)) + 3) + 3) - 2)/(1(4(-1sin(3π(1|x - 2| + 2)) + 3)^2 + 2(-1sin(3π(1|x - 2| + 2)) + 3) + 3) + 3)) + 3| - 2) - 1) and g(x) = -4((-2(1(-1(2cos(3πx))^2 + 1(2cos(3πx)) + 1)^2 - 2(-1(2cos(3πx))^2 + 1(2cos(3πx)) + 1) - 5) - 3)/(-1(1(-1(2cos(3πx))^2 + 1(2cos(3πx)) + 1)^2 - 2(-1(2cos(3πx))^2 + 1(2cos(3πx)) + 1) - 5) - 3)) + 1 between the vertical lines x = -3.1 and x = -2.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2((2(-1((-2(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) - 3)/(-3(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) + 2)) - 5) + 1)/(2(-1((-2(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) - 3)/(-3(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) + 2)) - 5) + 3))^2 + 4((2(-1((-2(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) - 3)/(-3(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) + 2)) - 5) + 1)/(2(-1((-2(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) - 3)/(-3(-4((2x + 2)/(1x))^2 + 5((2x + 2)/(1x)) + 2) + 2)) - 5) + 3)) - 2 and g(x) = (-2(-2(1(-5(-3x + 1)^2 + 3(-3x + 1) + 4)^2 + 3(-5(-3x + 1)^2 + 3(-3x + 1) + 4) + 3) + 5) + 3)/(-3(-2(1(-5(-3x + 1)^2 + 3(-3x + 1) + 4)^2 + 3(-5(-3x + 1)^2 + 3(-3x + 1) + 4) + 3) + 5) - 2) between the vertical lines x = -0.1 and x = 0.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(2(-3|(-1((-1(2|x + 1| + 2) + 1)/(1(2|x + 1| + 2) + 2))^2 - 5((-1(2|x + 1| + 2) + 1)/(1(2|x + 1| + 2) + 2)) + 2) - 3| + 2)^2 - 3) + 2 and g(x) = -1((-2(3|(-5(-5x - 3) - 5) - 3| - 1) + 1)/(-1(3|(-5(-5x - 3) - 5) - 3| - 1))) - 3 between the vertical lines x = -0.3 and x = -0.19999999999999998. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2(1(-1(1(-2|(2x^2 - 3)|) - 4) - 2)) + 2)/(1(1(-1(1(-2|(2x^2 - 3)|) - 4) - 2)) - 2) and g(x) = -1(1(-1((2((-2x + 1)/(1x)) - 3)/(-1((-2x + 1)/(1x)) + 3)) + 1)^2 + 4)^2 + 3(1(-1((2((-2x + 1)/(1x)) - 3)/(-1((-2x + 1)/(1x)) + 3)) + 1)^2 + 4) + 5 from x = -1.2 to x = 0.2. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (3(5((-1(2(1|((-2x)/(-2x - 2))|)^2 - 5) + 2)/(2(2(1|((-2x)/(-2x - 2))|)^2 - 5)))^2 + 4((-1(2(1|((-2x)/(-2x - 2))|)^2 - 5) + 2)/(2(2(1|((-2x)/(-2x - 2))|)^2 - 5))) - 2) - 2)/(2(5((-1(2(1|((-2x)/(-2x - 2))|)^2 - 5) + 2)/(2(2(1|((-2x)/(-2x - 2))|)^2 - 5)))^2 + 4((-1(2(1|((-2x)/(-2x - 2))|)^2 - 5) + 2)/(2(2(1|((-2x)/(-2x - 2))|)^2 - 5))) - 2) + 2) and g(x) = 4((-2(1(2|((-1x - 3)/(2x + 3)) - 1| - 1) - 3) + 1)/(-3(1(2|((-1x - 3)/(2x + 3)) - 1| - 1) - 3) - 2)) + 1 from x = -0.6 to x = -0.5. 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((-2(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1))/(3(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1) - 2))^2 - 4((-2(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1))/(3(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1) - 2)) + 5) + 2)/(-1(-1((-2(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1))/(3(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1) - 2))^2 - 4((-2(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1))/(3(-1(4(1|x + 2| - 3) + 2)^2 - 2(4(1|x + 2| - 3) + 2) + 1) - 2)) + 5) - 2) and g(x) = 2|(1e^(-1(-2|(1|(2x^2 + 3x - 3) - 1| - 1)| + 2)) + 1) - 3| - 3 between the vertical lines x = 0.4 and x = 0.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3|(5(-1(1((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2))^2 - 5((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2)) + 1)^2 + 4(1((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2))^2 - 5((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2)) + 1) + 1)^2 - 3(-1(1((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2))^2 - 5((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2)) + 1)^2 + 4(1((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2))^2 - 5((-1(1|x| + 1) + 3)/(-1(1|x| + 1) - 2)) + 1) + 1) - 4) - 1|, g(x) = (1(-2(-1(3|((2x + 1)/(-3x + 2)) - 3| - 2)^2 + 5(3|((2x + 1)/(-3x + 2)) - 3| - 2) - 4) - 2) + 1)/(1(-2(-1(3|((2x + 1)/(-3x + 2)) - 3| - 2)^2 + 5(3|((2x + 1)/(-3x + 2)) - 3| - 2) - 4) - 2)), 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) = 2cos(2π(5(-2(1(-5((-1x - 3)/(-1x + 2)) + 5) - 2)^2 - 4(1(-5((-1x - 3)/(-1x + 2)) + 5) - 2))^2 - 5(-2(1(-5((-1x - 3)/(-1x + 2)) + 5) - 2)^2 - 4(1(-5((-1x - 3)/(-1x + 2)) + 5) - 2)) + 1) + 1) - 2, g(x) = 2((-3(3|(-2((-3x - 2)/(-3x - 3)) + 5) - 1|) + 3)/(-2(3|(-2((-3x - 2)/(-3x - 3)) + 5) - 1|) + 3)) - 5, x = -2.0, and x = -1.9. 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) = 5(1|(-2(-3|(-2(3x^2 + 2x - 4)^2 - 1(3x^2 + 2x - 4) + 5) - 2| + 1) + 4) - 2|) - 4 and g(x) = (-3(-1|(2|(3e^(1(-2|x - 3| - 1))) - 3| + 2) + 3| + 3) + 3)/(2(-1|(2|(3e^(1(-2|x - 3| - 1))) - 3| + 2) + 3| + 3)) from x = -1.3 to x = -1.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 4(-4((-3(-2(-2|(1|x + 2| - 3) + 3| + 2) - 2) + 2)/(-1(-2(-2|(1|x + 2| - 3) + 3| + 2) - 2) - 1)) - 2) - 2 and g(x) = -1(2(-3|(-1(-5x^2 - 2x) + 4) - 3| - 1)^2 - 4) - 5 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) = -1cos(3π((-1(2|(2|(-4(2x - 1) + 3) - 3| - 3) - 2| + 3) + 1)/(-1(2|(2|(-4(2x - 1) + 3) - 3| - 3) - 2| + 3) - 3)) + 3) + 3 and g(x) = 2(5(2|((-2((1x)/(3x - 1)) - 3)/(3((1x)/(3x - 1)) - 1)) + 2| - 3) - 4)^2 - 4(5(2|((-2((1x)/(3x - 1)) - 3)/(3((1x)/(3x - 1)) - 1)) + 2| - 3) - 4) - 4 from x = 0.2 to x = 0.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -4(2cos(2π(-4(-4((-2(1|x - 2| - 2) + 3)/(3(1|x - 2| - 2) + 2)) - 1)^2 - 5(-4((-2(1|x - 2| - 2) + 3)/(3(1|x - 2| - 2) + 2)) - 1) - 1) + 1))^2 + 1, g(x) = 2(-3sin(2π(1(-1|((2x)/(-3x - 1)) - 2| - 1)) + 2))^2 + 1(-3sin(2π(1(-1|((2x)/(-3x - 1)) - 2| - 1)) + 2)), x = -0.4, and x = -0.3. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1(1((-2((1(1|(-3x - 2)| - 1) - 2)/(-3(1|(-3x - 2)| - 1) + 1)) + 1)/(-3((1(1|(-3x - 2)| - 1) - 2)/(-3(1|(-3x - 2)| - 1) + 1))))^2 + 2((-2((1(1|(-3x - 2)| - 1) - 2)/(-3(1|(-3x - 2)| - 1) + 1)) + 1)/(-3((1(1|(-3x - 2)| - 1) - 2)/(-3(1|(-3x - 2)| - 1) + 1)))) - 4) + 1 and g(x) = -1|(1sin(1π(3(-3(5x - 3)^2 - 1(5x - 3) + 3)^2 - 1(-3(5x - 3)^2 - 1(5x - 3) + 3)) + 1) + 3) - 2| + 3 from x = -0.8 to x = -0.7000000000000001. 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(-1(-2|((2(-4x + 2) + 1)/(1(-4x + 2) - 2)) - 3| - 1) - 2)^2 - 3(-1(-2|((2(-4x + 2) + 1)/(1(-4x + 2) - 2)) - 3| - 1) - 2) + 2) + 1)/(-2(-1(-1(-2|((2(-4x + 2) + 1)/(1(-4x + 2) - 2)) - 3| - 1) - 2)^2 - 3(-1(-2|((2(-4x + 2) + 1)/(1(-4x + 2) - 2)) - 3| - 1) - 2) + 2) - 2), g(x) = -1(-1(-1|((2((1x - 3)/(1x + 3)) + 2)/(2((1x - 3)/(1x + 3)) + 1)) + 3| + 2) + 5)^2 + 5(-1(-1|((2((1x - 3)/(1x + 3)) + 2)/(2((1x - 3)/(1x + 3)) + 1)) + 3| + 2) + 5) + 3, x = 0.3, and x = 0.8. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 4((-2(4(1(1(-3e^(2x) + 1) - 2) + 2)^2 - 1(1(1(-3e^(2x) + 1) - 2) + 2) - 2) + 1)/(-1(4(1(1(-3e^(2x) + 1) - 2) + 2)^2 - 1(1(1(-3e^(2x) + 1) - 2) + 2) - 2) + 2))^2 + 1 and g(x) = -2((3((-3(-5(-1|x + 1| + 1) + 3))/(-2(-5(-1|x + 1| + 1) + 3) - 2)) - 1)/(1((-3(-5(-1|x + 1| + 1) + 3))/(-2(-5(-1|x + 1| + 1) + 3) - 2)) - 3))^2 + 4((3((-3(-5(-1|x + 1| + 1) + 3))/(-2(-5(-1|x + 1| + 1) + 3) - 2)) - 1)/(1((-3(-5(-1|x + 1| + 1) + 3))/(-2(-5(-1|x + 1| + 1) + 3) - 2)) - 3)) + 2 from x = -1.4 to x = -1.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 5((2(3(5(4(2x - 1) + 4) - 2) - 2) + 1)/(-1(3(5(4(2x - 1) + 4) - 2) - 2))) - 5, g(x) = -1((1(-1(-1(2x^2 - 5x - 5) - 3)^2 + 2(-1(2x^2 - 5x - 5) - 3) + 1) - 1)/(1(-1(-1(2x^2 - 5x - 5) - 3)^2 + 2(-1(2x^2 - 5x - 5) - 3) + 1) + 2)) - 1, x = -0.5, and x = 0.1. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-5(-3|(-1e^(-1(-3(1x^2 - 2x - 1) + 1))) - 2| - 1) + 3) + 3)/(1(-5(-3|(-1e^(-1(-3(1x^2 - 2x - 1) + 1))) - 2| - 1) + 3) + 2) and g(x) = -1(-1|(-5(-3(1|x - 3| + 1) + 4) - 4) - 3| - 1) - 5 between the vertical lines x = 2.1 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((-2((-2(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1)/(1(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1)) - 3)/(1((-2(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1)/(1(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1))))^2 - 5((-2((-2(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1)/(1(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1)) - 3)/(1((-2(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1)/(1(-1sin(2π(3|(3|x + 3|) + 3| - 2) + 1) - 3) + 1)))) + 2, g(x) = -3(-4((-2((-2(-5x^2 - 1x + 5) + 1)/(-1(-5x^2 - 1x + 5) + 2)) + 1)/(-2((-2(-5x^2 - 1x + 5) + 1)/(-1(-5x^2 - 1x + 5) + 2)) - 1)) - 2) + 5, x = -1.1, and x = 0.9. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-1|(-1((-2((-1(-2|x - 1| + 3) - 1)/(-3(-2|x - 1| + 3) + 4)) + 3)/(-3((-1(-2|x - 1| + 3) - 1)/(-3(-2|x - 1| + 3) + 4)) + 2))^2 + 5((-2((-1(-2|x - 1| + 3) - 1)/(-3(-2|x - 1| + 3) + 4)) + 3)/(-3((-1(-2|x - 1| + 3) - 1)/(-3(-2|x - 1| + 3) + 4)) + 2)) - 3)| - 2) - 1 and g(x) = -5(3sin(2π(-1|(4(2|x - 1| - 3) - 5) - 1| + 2) + 1) + 2) + 1 between the vertical lines x = 4.4 and x = 4.5. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1sin(2π((2(-1(3((2(-2x + 2) + 1)/(-2(-2x + 2) - 1)) + 4) - 1) - 3)/(-1(-1(3((2(-2x + 2) + 1)/(-2(-2x + 2) - 1)) + 4) - 1) - 2)) + 1) + 1, g(x) = (1(-1(3((3(4x^2 - 3x - 3) + 1)/(1(4x^2 - 3x - 3) - 2)) + 5) - 3) + 2)/(2(-1(3((3(4x^2 - 3x - 3) + 1)/(1(4x^2 - 3x - 3) - 2)) + 5) - 3) + 1), x = -0.6, and x = 1.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-3sin(1π((3(5(-3|(4x - 5) - 3| + 1)^2 + 4(-3|(4x - 5) - 3| + 1) - 3))/(3(5(-3|(4x - 5) - 3| + 1)^2 + 4(-3|(4x - 5) - 3| + 1) - 3) - 1)) - 2) + 1) + 3)/(-3(-3sin(1π((3(5(-3|(4x - 5) - 3| + 1)^2 + 4(-3|(4x - 5) - 3| + 1) - 3))/(3(5(-3|(4x - 5) - 3| + 1)^2 + 4(-3|(4x - 5) - 3| + 1) - 3) - 1)) - 2) + 1) - 1) and g(x) = (3(4(2|((2((-1x)/(-3x + 4)) - 3)/(-2((-1x)/(-3x + 4)) - 1)) + 3| - 2)) + 2)/(1(4(2|((2((-1x)/(-3x + 4)) - 3)/(-2((-1x)/(-3x + 4)) - 1)) + 3| - 2)) - 2) between the vertical lines x = 2.0 and x = 2.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2((-2(1((-2(3|((-3x - 2)/(-1x)) + 3| - 1) + 3)/(-1(3|((-3x - 2)/(-1x)) + 3| - 1) - 3)) + 4) + 3)/(-1(1((-2(3|((-3x - 2)/(-1x)) + 3| - 1) + 3)/(-1(3|((-3x - 2)/(-1x)) + 3| - 1) - 3)) + 4) + 3)) - 4 and g(x) = 4(3|(3sin(1π(4(-2x)^2 + 2) - 1) + 3) + 1| + 3) - 2 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) = -4(5(2sin(2π(4(-5(5x^2 + 1)^2 - 1(5x^2 + 1) + 4) - 4) - 1) + 2)^2 + 4(2sin(2π(4(-5(5x^2 + 1)^2 - 1(5x^2 + 1) + 4) - 4) - 1) + 2) - 1) + 2 and g(x) = -5(-3(-1(1|(-2x - 4) - 1|)^2 + 2(1|(-2x - 4) - 1|) - 5) + 1) - 4 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]
Determine the area of the region enclosed by the graphs of f(x) = -1(-2|(5(-1|(-5(3cos(3πx) + 1)) - 3| + 2) + 1) + 1| + 2) - 4 and g(x) = 3|((-2(-3(-1|(5x + 3)|)) + 2)/(1(-3(-1|(5x + 3)|)) + 2)) + 2| + 2 between the vertical lines x = 3.7 and x = 3.8. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1(3((3(1|((2(-3x^2 - 1x + 4) - 2)/(2(-3x^2 - 1x + 4) - 3)) - 2| - 3) - 2)/(-2(1|((2(-3x^2 - 1x + 4) - 2)/(2(-3x^2 - 1x + 4) - 3)) - 2| - 3) + 3)) - 5) + 3, g(x) = -2(-3sin(1π((1(-1((-1x + 1)/(3x + 2))^2 + 5((-1x + 1)/(3x + 2)) + 5) + 2)/(-1(-1((-1x + 1)/(3x + 2))^2 + 5((-1x + 1)/(3x + 2)) + 5) - 1)) + 1) - 3)^2 + 5(-3sin(1π((1(-1((-1x + 1)/(3x + 2))^2 + 5((-1x + 1)/(3x + 2)) + 5) + 2)/(-1(-1((-1x + 1)/(3x + 2))^2 + 5((-1x + 1)/(3x + 2)) + 5) - 1)) + 1) - 3), x = 0.7, and x = 0.8. 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((-1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)/(1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)) - 2)/(1((-1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)/(1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)) - 2)) + 1)/(-2((3((-1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)/(1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)) - 2)/(1((-1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)/(1(4((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))^2 - 2((-2(1x^2 + 3x) + 2)/(-3(1x^2 + 3x) + 4))) + 2)) - 2)) - 2) and g(x) = 2(-2(3|(-3|((-1x - 2)/(-1x - 2)) + 1| - 2) + 1| + 1) + 4) + 1 between the vertical lines x = -3.0 and x = 0.0. 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) = 5(1(5((2(2|(5x^2 - 1x + 4) - 2| - 2) - 2)/(1(2|(5x^2 - 1x + 4) - 2| - 2) + 2))^2 - 2((2(2|(5x^2 - 1x + 4) - 2| - 2) - 2)/(1(2|(5x^2 - 1x + 4) - 2| - 2) + 2)) - 3) + 2)^2 - 1(1(5((2(2|(5x^2 - 1x + 4) - 2| - 2) - 2)/(1(2|(5x^2 - 1x + 4) - 2| - 2) + 2))^2 - 2((2(2|(5x^2 - 1x + 4) - 2| - 2) - 2)/(1(2|(5x^2 - 1x + 4) - 2| - 2) + 2)) - 3) + 2) - 1, g(x) = 2|((1((-2(-4(-1x^2 - 1)^2 - 5(-1x^2 - 1) - 2) + 2)/(2(-4(-1x^2 - 1)^2 - 5(-1x^2 - 1) - 2) + 1)) + 3)/(2((-2(-4(-1x^2 - 1)^2 - 5(-1x^2 - 1) - 2) + 2)/(2(-4(-1x^2 - 1)^2 - 5(-1x^2 - 1) - 2) + 1)) + 3))| - 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]
Find the area of the region bounded by the curves f(x) = -3|((2((-3(1(-2sin(2π((-3x - 1)/(1x + 2)) - 2)) + 1) + 2)/(-1(1(-2sin(2π((-3x - 1)/(1x + 2)) - 2)) + 1) - 1)) + 3)/(1((-3(1(-2sin(2π((-3x - 1)/(1x + 2)) - 2)) + 1) + 2)/(-1(1(-2sin(2π((-3x - 1)/(1x + 2)) - 2)) + 1) - 1)) + 1))| - 1, g(x) = (2(-4(-1cos(3π(2|(-2|x - 3| + 2) + 3| - 3) + 3))^2 + 1(-1cos(3π(2|(-2|x - 3| + 2) + 3| - 3) + 3)) + 4) + 1)/(-1(-4(-1cos(3π(2|(-2|x - 3| + 2) + 3| - 3) + 3))^2 + 1(-1cos(3π(2|(-2|x - 3| + 2) + 3| - 3) + 3)) + 4) - 2), x = 0.9, 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(4(-2|(1(-1((-1x + 2)/(-1x - 2))^2 - 4((-1x + 2)/(-1x - 2)) + 1)^2 - 5(-1((-1x + 2)/(-1x - 2))^2 - 4((-1x + 2)/(-1x - 2)) + 1) + 2) - 1| + 3)^2 + 3(-2|(1(-1((-1x + 2)/(-1x - 2))^2 - 4((-1x + 2)/(-1x - 2)) + 1)^2 - 5(-1((-1x + 2)/(-1x - 2))^2 - 4((-1x + 2)/(-1x - 2)) + 1) + 2) - 1| + 3) + 4) - 2 and g(x) = (3(-2|(-3((-2(1|x - 3| + 3) - 1)/(3(1|x - 3| + 3) + 1)) + 5)|) + 1)/(1(-2|(-3((-2(1|x - 3| + 3) - 1)/(3(1|x - 3| + 3) + 1)) + 5)|) - 2) between the vertical lines x = -0.9 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|((2(3|(4(-5(1sin(1πx + 3) + 1)^2 + 5(1sin(1πx + 3) + 1) - 3) + 4) - 1| - 3) + 3)/(3(3|(4(-5(1sin(1πx + 3) + 1)^2 + 5(1sin(1πx + 3) + 1) - 3) + 4) - 1| - 3) + 2)) - 2| - 3 and g(x) = -2e^(1((-1(-4(1(-3x + 5)^2 - 1(-3x + 5) - 5)^2 - 4(1(-3x + 5)^2 - 1(-3x + 5) - 5) + 1) + 1)/(1(-4(1(-3x + 5)^2 - 1(-3x + 5) - 5)^2 - 4(1(-3x + 5)^2 - 1(-3x + 5) - 5) + 1) + 3))) + 1 between the vertical lines x = 2.2 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) = -4(-1(-3cos(2π(3|(1|((-1x + 2)/(1x - 3)) + 2| - 2) - 3| + 1) - 2) + 3)^2 + 5(-3cos(2π(3|(1|((-1x + 2)/(1x - 3)) + 2| - 2) - 3| + 1) - 2) + 3) + 1)^2 + 4(-1(-3cos(2π(3|(1|((-1x + 2)/(1x - 3)) + 2| - 2) - 3| + 1) - 2) + 3)^2 + 5(-3cos(2π(3|(1|((-1x + 2)/(1x - 3)) + 2| - 2) - 3| + 1) - 2) + 3) + 1) - 4, g(x) = -4((-3((-2(1(3|x| - 2) - 3) - 2)/(-2(1(3|x| - 2) - 3) - 3)) - 2)/(-2((-2(1(3|x| - 2) - 3) - 2)/(-2(1(3|x| - 2) - 3) - 3)) - 2))^2 - 1((-3((-2(1(3|x| - 2) - 3) - 2)/(-2(1(3|x| - 2) - 3) - 3)) - 2)/(-2((-2(1(3|x| - 2) - 3) - 2)/(-2(1(3|x| - 2) - 3) - 3)) - 2)) - 1, x = 3.5, and x = 3.6. Round your answer to 1 decimal place.

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


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

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[User]
Calculate the area enclosed between the functions f(x) = 4(3((2(-5(5(-1x^2 - 2x)^2 + 4(-1x^2 - 2x) - 3)^2 + 2(5(-1x^2 - 2x)^2 + 4(-1x^2 - 2x) - 3) + 1) + 1)/(1(-5(5(-1x^2 - 2x)^2 + 4(-1x^2 - 2x) - 3)^2 + 2(5(-1x^2 - 2x)^2 + 4(-1x^2 - 2x) - 3) + 1) + 2)) + 4) + 1 and g(x) = -2|((1(-2|((3(2|x - 2|))/(2(2|x - 2|) - 1)) + 1| - 1))/(3(-2|((3(2|x - 2|))/(2(2|x - 2|) - 1)) + 1| - 1) - 2))| + 1 from x = -1.7 to x = -0.3. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-3((3(-3|(1(-3e^(-1x))^2 + 4(-3e^(-1x)) + 5) - 3| + 1) - 3)/(-1(-3|(1(-3e^(-1x))^2 + 4(-3e^(-1x)) + 5) - 3| + 1))) + 1) + 2| + 2 and g(x) = -1(3(1(1e^(-1(2|x + 1| - 2)) + 3) + 5) + 5)^2 - 5(3(1(1e^(-1(2|x + 1| - 2)) + 3) + 5) + 5) - 5 between the vertical lines x = 1.4 and x = 1.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4(1sin(2π(3|(-2|(-5(-3x - 4)) - 3| - 3)| - 3) - 1) - 1) - 4 and g(x) = 2cos(1π(3(3|((1(-4x + 5) - 3)/(2(-4x + 5) - 1)) + 2|) - 2) - 3) from x = 0.9 to x = 1.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3(3|((2(3|(1sin(1π(5x^2 - 3x - 5) - 2) - 2) + 1| - 3) - 3)/(-1(3|(1sin(1π(5x^2 - 3x - 5) - 2) - 2) + 1| - 3) + 2)) - 2| - 3)^2 - 4(3|((2(3|(1sin(1π(5x^2 - 3x - 5) - 2) - 2) + 1| - 3) - 3)/(-1(3|(1sin(1π(5x^2 - 3x - 5) - 2) - 2) + 1| - 3) + 2)) - 2| - 3) + 3 and g(x) = (-1((-1(3|(-5(2x^2 - 5x - 3) + 4) + 1| - 1))/(-1(3|(-5(2x^2 - 5x - 3) + 4) + 1| - 1) + 2)) + 1)/(1((-1(3|(-5(2x^2 - 5x - 3) + 4) + 1| - 1))/(-1(3|(-5(2x^2 - 5x - 3) + 4) + 1| - 1) + 2)) + 3) from x = -4.7 to x = -4.6000000000000005. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-3((-3(-3(1|(-1(5x + 1) - 2) + 3| - 2) + 1) - 1)/(-1(-3(1|(-1(5x + 1) - 2) + 3| - 2) + 1) - 1)) + 1)/(-2((-3(-3(1|(-1(5x + 1) - 2) + 3| - 2) + 1) - 1)/(-1(-3(1|(-1(5x + 1) - 2) + 3| - 2) + 1) - 1)) - 1) and g(x) = (-2((1(1((1(-4x - 3) - 3)/(2(-4x - 3) + 1)) - 5) - 1)/(-2(1((1(-4x - 3) - 3)/(2(-4x - 3) + 1)) - 5))))/(3((1(1((1(-4x - 3) - 3)/(2(-4x - 3) + 1)) - 5) - 1)/(-2(1((1(-4x - 3) - 3)/(2(-4x - 3) + 1)) - 5))) + 2) from x = -0.6 to x = -0.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (1(2(4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3))^2 + 4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3)) - 1)^2 + 1(4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3))^2 + 4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3)) - 1)) + 1)/(-1(2(4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3))^2 + 4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3)) - 1)^2 + 1(4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3))^2 + 4((-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) - 3)/(-2(-2|((-2x + 3)/(-3x + 2)) + 3| - 1) + 3)) - 1)) - 1) and g(x) = 1(1(3(-3(5x)^2 - 5(5x) + 1)^2 - 4(-3(5x)^2 - 5(5x) + 1) - 5) + 4)^2 - 4(1(3(-3(5x)^2 - 5(5x) + 1)^2 - 4(-3(5x)^2 - 5(5x) + 1) - 5) + 4) - 2 from x = -0.0 to x = 0.1. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-1e^(1(3|((-3(-2|((-1x - 2)/(2x - 1)) - 1| + 1) + 3)/(2(-2|((-1x - 2)/(2x - 1)) - 1| + 1) + 3)) + 3| + 1)) + 3) - 2| - 2 and g(x) = 3sin(2π(3(1((-2(-2|x - 2| + 1) + 2)/(3(-2|x - 2| + 1) - 2)) - 1)^2 + 3(1((-2(-2|x - 2| + 1) + 2)/(3(-2|x - 2| + 1) - 2)) - 1) + 5) + 1) + 2 between the vertical lines x = 1.8 and x = 1.9000000000000001. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(-3e^(2(1(-2|((-1(-3x - 2) + 3)/(-3(-3x - 2) - 2)) + 2|) - 1)) + 3)| - 2 and g(x) = -1(1|(3|(-3sin(3π((2x + 1)/(1x - 3)) - 3) + 1)| - 2) - 3| - 2)^2 - 3(1|(3|(-3sin(3π((2x + 1)/(1x - 3)) - 3) + 1)| - 2) - 3| - 2) + 4 between the vertical lines x = 3.5 and x = 3.6. 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|(2e^(-1((1(5(3x^2 - 3x - 2) + 2))/(-3(5(3x^2 - 3x - 2) + 2) + 4))) - 1)| + 2) - 2| + 3 and g(x) = 4(4(2sin(3π(1|(-4x + 1)|) + 1) + 2) - 5) - 1 between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -4(-2sin(3π(2|(-1|(-2(-2|x - 2| - 1) + 3) + 1| - 2) + 1| + 3) - 3) - 1) - 5 and g(x) = (-2(1cos(2π(-1(1((3x - 3)/(2x)) + 4) - 5) - 2) + 2) - 2)/(3(1cos(2π(-1(1((3x - 3)/(2x)) + 4) - 5) - 2) + 2) + 2) from x = 1.0 to x = 1.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(1(1cos(3π(3(-3((-1x + 3)/(-2x - 3))^2 - 3((-1x + 3)/(-2x - 3)) - 3)^2 + 3(-3((-1x + 3)/(-2x - 3))^2 - 3((-1x + 3)/(-2x - 3)) - 3) - 4) - 2) + 3) - 1), g(x) = -4(1(2(2|(-2cos(3πx + 2) + 1) - 2|)^2 - 4(2|(-2cos(3πx + 2) + 1) - 2|))) - 5, x = -4.6, and x = -4.4. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(1|(3|(-3(1cos(1π(2x^2 - 5x - 5) - 1) - 3)^2 - 2(1cos(1π(2x^2 - 5x - 5) - 1) - 3) + 3) + 3| + 2)| - 2))/(2(1|(3|(-3(1cos(1π(2x^2 - 5x - 5) - 1) - 3)^2 - 2(1cos(1π(2x^2 - 5x - 5) - 1) - 3) + 3) + 3| + 2)| - 2) - 1) and g(x) = 3((-1(-1((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2))^2 - 3((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2)) + 5) + 2)/(3(-1((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2))^2 - 3((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2)) + 5) - 2))^2 + 4((-1(-1((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2))^2 - 3((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2)) + 5) + 2)/(3(-1((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2))^2 - 3((2(2cos(2πx - 2) - 2))/(-2(2cos(2πx - 2) - 2) - 2)) + 5) - 2)) + 1 between the vertical lines x = 3.2 and x = 3.4. Round to 1 decimal place.

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