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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (2(1((2((-2(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 1)/(3(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 2)) - 2)/(2((-2(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 1)/(3(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 2)) - 1)) + 5) - 1)/(2(1((2((-2(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 1)/(3(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 2)) - 2)/(2((-2(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 1)/(3(3(1|x + 2| - 1)^2 + 4(1|x + 2| - 1) + 1) + 2)) - 1)) + 5) - 3), g(x) = 1sin(1π(-5(-3|(-4(4x^2 - 2x - 5) + 5) + 2| - 3)^2 - 4) - 1) + 2, x = 1.4, and x = 1.5. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5((-1(1|(-1|(-4(1x^2 - 1) - 1) - 2| + 1) + 3| - 3) - 2)/(1(1|(-1|(-4(1x^2 - 1) - 1) - 2| + 1) + 3| - 3))) - 4 and g(x) = -1|(5(3|(1((-1x - 1)/(-3x + 2))^2 - 5((-1x - 1)/(-3x + 2)) + 3) - 1| + 2) - 2)| - 3 between the vertical lines x = 0.7 and x = 0.8. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-3(2|(1((-2((3x + 3)/(-1x)) - 1)/(2((3x + 3)/(-1x)) - 3))^2 + 5) - 3|) + 2) + 1)/(1(-3(2|(1((-2((3x + 3)/(-1x)) - 1)/(2((3x + 3)/(-1x)) - 3))^2 + 5) - 3|) + 2) - 3), g(x) = (-1((-1(1|(-3(-2|x - 3|)^2 - 5(-2|x - 3|) - 1) + 2|) - 1)/(3(1|(-3(-2|x - 3|)^2 - 5(-2|x - 3|) - 1) + 2|))) + 3)/(3((-1(1|(-3(-2|x - 3|)^2 - 5(-2|x - 3|) - 1) + 2|) - 1)/(3(1|(-3(-2|x - 3|)^2 - 5(-2|x - 3|) - 1) + 2|)))), x = 2.2, and x = 3.8. 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) = 1cos(1π(3(2|(1((1((-1x - 3)/(1x)) + 2)/(-2((-1x - 3)/(1x)) + 3))^2 + 5) - 3|) - 5) - 2) + 2 and g(x) = 1(-1((2(2(5x - 4) - 3) - 1)/(-3(2(5x - 4) - 3) - 3)) - 1)^2 + 1(-1((2(2(5x - 4) - 3) - 1)/(-3(2(5x - 4) - 3) - 3)) - 1) - 3 between the vertical lines x = 1.0 and x = 1.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1((1(5((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1))^2 + 3((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1)) + 1) + 2)/(2(5((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1))^2 + 3((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1)) + 1) - 1))^2 + 5((1(5((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1))^2 + 3((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1)) + 1) + 2)/(2(5((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1))^2 + 3((1(-3|((-3x - 3)/(-1x)) + 3| - 2) - 2)/(2(-3|((-3x - 3)/(-1x)) + 3| - 2) - 1)) + 1) - 1)) - 4, g(x) = (-1(1(-4(-2|(-1x^2 + 2x + 2) - 3| - 1) + 5)^2 - 5(-4(-2|(-1x^2 + 2x + 2) - 3| - 1) + 5) + 1) - 2)/(-3(1(-4(-2|(-1x^2 + 2x + 2) - 3| - 1) + 5)^2 - 5(-4(-2|(-1x^2 + 2x + 2) - 3| - 1) + 5) + 1) + 4), x = -0.6, and x = -0.5. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|((3(2(2e^(1((2(1|x + 1| + 3) - 2)/(3(1|x + 1| + 3) + 3))) + 2)^2 + 5(2e^(1((2(1|x + 1| + 3) - 2)/(3(1|x + 1| + 3) + 3))) + 2) - 3) - 2)/(-3(2(2e^(1((2(1|x + 1| + 3) - 2)/(3(1|x + 1| + 3) + 3))) + 2)^2 + 5(2e^(1((2(1|x + 1| + 3) - 2)/(3(1|x + 1| + 3) + 3))) + 2) - 3) + 2))| - 3 and g(x) = 3|(-1((-3(3(1x^2 + 3x + 1)^2 + 2(1x^2 + 3x + 1) - 1) + 3)/(2(3(1x^2 + 3x + 1)^2 + 2(1x^2 + 3x + 1) - 1) - 1))) - 3| - 3 between the vertical lines x = -0.4 and x = -0.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(-3((-1(-4((3(4x + 5))/(-3(4x + 5) - 2))^2 - 2((3(4x + 5))/(-3(4x + 5) - 2)) + 5) - 1)/(-2(-4((3(4x + 5))/(-3(4x + 5) - 2))^2 - 2((3(4x + 5))/(-3(4x + 5) - 2)) + 5) + 1)) + 5) and g(x) = 3((-2((-2(-1|(3x^2 + 1) - 2| - 1) - 3)/(-3(-1|(3x^2 + 1) - 2| - 1) + 2)))/(1((-2(-1|(3x^2 + 1) - 2| - 1) - 3)/(-3(-1|(3x^2 + 1) - 2| - 1) + 2))))^2 - 4((-2((-2(-1|(3x^2 + 1) - 2| - 1) - 3)/(-3(-1|(3x^2 + 1) - 2| - 1) + 2)))/(1((-2(-1|(3x^2 + 1) - 2| - 1) - 3)/(-3(-1|(3x^2 + 1) - 2| - 1) + 2)))) - 1 between the vertical lines x = -1.8 and x = -1.3. Round to 1 decimal place.

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

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


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

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


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

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


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

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

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[User]
Find the area of the region bounded by the curves f(x) = 1|(-4(-1|((1((1(1e^(1x) - 3) + 2)/(1(1e^(1x) - 3))) + 3)/(3((1(1e^(1x) - 3) + 2)/(1(1e^(1x) - 3))) - 2)) + 3| - 1)) - 2|, g(x) = (-3(5(2|((1(-2sin(1πx + 1) + 2) - 2)/(-2(-2sin(1πx + 1) + 2) - 3)) - 1| - 2)^2 - 2(2|((1(-2sin(1πx + 1) + 2) - 2)/(-2(-2sin(1πx + 1) + 2) - 3)) - 1| - 2) - 5))/(-1(5(2|((1(-2sin(1πx + 1) + 2) - 2)/(-2(-2sin(1πx + 1) + 2) - 3)) - 1| - 2)^2 - 2(2|((1(-2sin(1πx + 1) + 2) - 2)/(-2(-2sin(1πx + 1) + 2) - 3)) - 1| - 2) - 5) + 2), x = 2.3, and x = 4.0. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -4((-2(-4(3(-2|(1|x - 1| - 2) + 1| + 3) + 2) + 5) + 2)/(1(-4(3(-2|(1|x - 1| - 2) + 1| + 3) + 2) + 5))) + 3 and g(x) = -2(1|(-1((1(2x^2 + 4x - 5))/(2(2x^2 + 4x - 5) + 3)) - 5) - 3| - 3)^2 + 4(1|(-1((1(2x^2 + 4x - 5))/(2(2x^2 + 4x - 5) + 3)) - 5) - 3| - 3) - 4 from x = -1.6 to x = 3.6. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3|(1(1(2|((-2(-5x^2 - 1x + 1) + 3)/(-2(-5x^2 - 1x + 1) + 3)) - 2| + 2)) + 2)|, g(x) = (2(-5((2(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2)/(3(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2))^2 - 1((2(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2)/(3(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2)) + 2) + 2)/(1(-5((2(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2)/(3(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2))^2 - 1((2(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2)/(3(1(-3e^(-1x) + 1)^2 + 3(-3e^(-1x) + 1) - 3) - 2)) + 2)), x = -0.6, and x = 4.4. Round your answer to 1 decimal place.

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


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

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[User]
Find the area of the region bounded by the curves f(x) = (-1(1(-1(-4((3(2cos(3πx - 1)) + 2)/(-2(2cos(3πx - 1)) + 3)) + 3) - 4)^2 - 2(-1(-4((3(2cos(3πx - 1)) + 2)/(-2(2cos(3πx - 1)) + 3)) + 3) - 4) - 4) + 1)/(3(1(-1(-4((3(2cos(3πx - 1)) + 2)/(-2(2cos(3πx - 1)) + 3)) + 3) - 4)^2 - 2(-1(-4((3(2cos(3πx - 1)) + 2)/(-2(2cos(3πx - 1)) + 3)) + 3) - 4) - 4) + 1), g(x) = (-1(-3|((2(1(2x^2 + 2x - 2)^2 + 1(2x^2 + 2x - 2) - 3) + 1)/(2(1(2x^2 + 2x - 2)^2 + 1(2x^2 + 2x - 2) - 3))) - 3| + 1) + 3)/(-2(-3|((2(1(2x^2 + 2x - 2)^2 + 1(2x^2 + 2x - 2) - 3) + 1)/(2(1(2x^2 + 2x - 2)^2 + 1(2x^2 + 2x - 2) - 3))) - 3| + 1) + 3), x = -3.1, and x = -3.0. 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|(2|(1|(5((2x)/(2x - 3)) - 4) - 2| - 1) + 1| + 1) - 3| + 3) + 2)/(-3(-3|(2|(1|(5((2x)/(2x - 3)) - 4) - 2| - 1) + 1| + 1) - 3| + 3) + 2), g(x) = 2((1(1(2(-2x^2 + 1x - 2) - 1)) + 1)/(-2(1(2(-2x^2 + 1x - 2) - 1)) + 1)), x = -1.3, and x = 2.6. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(-5((-3(2((3(4x - 2) + 3)/(1(4x - 2) - 2))^2 - 5((3(4x - 2) + 3)/(1(4x - 2) - 2)) - 4) - 2)/(1(2((3(4x - 2) + 3)/(1(4x - 2) - 2))^2 - 5((3(4x - 2) + 3)/(1(4x - 2) - 2)) - 4) - 2)) + 3) - 1)/(1(-5((-3(2((3(4x - 2) + 3)/(1(4x - 2) - 2))^2 - 5((3(4x - 2) + 3)/(1(4x - 2) - 2)) - 4) - 2)/(1(2((3(4x - 2) + 3)/(1(4x - 2) - 2))^2 - 5((3(4x - 2) + 3)/(1(4x - 2) - 2)) - 4) - 2)) + 3) - 2) and g(x) = 1((-3(3cos(3π(-3(-2|x - 1| + 2) - 4) + 3) - 1) - 1)/(2(3cos(3π(-3(-2|x - 1| + 2) - 4) + 3) - 1) + 2)) + 4 from x = -4.0 to x = -3.9. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1((-1(-1(-3(-3(-1|x + 3|)^2 - 1(-1|x + 3|) + 3) + 5) - 2) - 2)/(2(-1(-3(-3(-1|x + 3|)^2 - 1(-1|x + 3|) + 3) + 5) - 2) + 3)) + 1, g(x) = (1(3(-3|((2((-2x)/(-3x + 4)) + 1)/(1((-2x)/(-3x + 4)) + 1))| - 2)^2 - 4(-3|((2((-2x)/(-3x + 4)) + 1)/(1((-2x)/(-3x + 4)) + 1))| - 2) + 5))/(-3(3(-3|((2((-2x)/(-3x + 4)) + 1)/(1((-2x)/(-3x + 4)) + 1))| - 2)^2 - 4(-3|((2((-2x)/(-3x + 4)) + 1)/(1((-2x)/(-3x + 4)) + 1))| - 2) + 5) + 4), x = -3.8, and x = -2.2. 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(1(1(1|((2(-3x + 5) - 2)/(-1(-3x + 5) - 1)) - 2| - 3)^2 - 3(1|((2(-3x + 5) - 2)/(-1(-3x + 5) - 1)) - 2| - 3) - 4) + 1)^2 - 1(1(1(1|((2(-3x + 5) - 2)/(-1(-3x + 5) - 1)) - 2| - 3)^2 - 3(1|((2(-3x + 5) - 2)/(-1(-3x + 5) - 1)) - 2| - 3) - 4) + 1) + 1 and g(x) = -1(-1|(4((-2((2x + 2)/(-3x + 4)) - 3)/(2((2x + 2)/(-3x + 4)) + 3)) + 5) - 1|) + 5 between the vertical lines x = 2.4 and x = 2.5. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-3cos(3π((2(2|(-1(-2|x - 1| + 3)^2 + 5(-2|x - 1| + 3) - 5)| + 3) - 1)/(1(2|(-1(-2|x - 1| + 3)^2 + 5(-2|x - 1| + 3) - 5)| + 3) - 3)) - 1) - 2) - 3| + 3 and g(x) = 1((-2(-4(-3(-2x^2 - 1x + 2) + 5) - 3) + 2)/(1(-4(-3(-2x^2 - 1x + 2) + 5) - 3) - 3))^2 - 5((-2(-4(-3(-2x^2 - 1x + 2) + 5) - 3) + 2)/(1(-4(-3(-2x^2 - 1x + 2) + 5) - 3) - 3)) + 1 between the vertical lines x = 0.2 and 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) = -3|(2(3(3(3(-2|x| - 1)^2 - 1(-2|x| - 1) - 5)) + 3) + 2) + 1| + 2 and g(x) = 1(2cos(1π(-2(5(3x^2 + 3x - 5) - 4) + 5) + 3) + 2) - 4 between the vertical lines x = -0.0 and x = 0.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (3(4(-4(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3)^2 - 3(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3) + 5)^2 - 4(-4(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3)^2 - 3(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3) + 5) - 1) + 3)/(-2(4(-4(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3)^2 - 3(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3) + 5)^2 - 4(-4(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3)^2 - 3(2(2sin(2π((2x + 2)/(-1x)) + 3) - 1) + 3) + 5) - 1) + 1) and g(x) = 1cos(2π(-1(-2|(1(4x + 4) + 4) + 3| + 1) + 3) + 2) + 3 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) = 3((-3((1((1((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) - 2)/(-2((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) + 3)) - 3)/(1((1((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) - 2)/(-2((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) + 3)) - 2)) - 2)/(-1((1((1((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) - 2)/(-2((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) + 3)) - 3)/(1((1((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) - 2)/(-2((-2(5x^2 + 1x - 5) - 3)/(-2(5x^2 + 1x - 5) + 1)) + 3)) - 2)) - 2)) + 1, g(x) = 5(3e^(-1((1((-1(1|x| + 3) - 2)/(3(1|x| + 3))) - 2)/(3((-1(1|x| + 3) - 2)/(3(1|x| + 3))) + 1))) + 1) + 3, x = -1.4, and x = 1.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 4((3((-3(-2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2))^2 + 2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2)) - 3) - 2)/(1(-2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2))^2 + 2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2)) - 3))) - 1)/(3((-3(-2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2))^2 + 2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2)) - 3) - 2)/(1(-2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2))^2 + 2((3(2|x + 2| + 3) + 2)/(-3(2|x + 2| + 3) + 2)) - 3))) + 1)) + 5, g(x) = 5(2sin(2π((-1((-2(2x + 4) - 3)/(-1(2x + 4) - 2)) - 3)/(1((-2(2x + 4) - 3)/(-1(2x + 4) - 2)) - 3))) + 1)^2 + 3(2sin(2π((-1((-2(2x + 4) - 3)/(-1(2x + 4) - 2)) - 3)/(1((-2(2x + 4) - 3)/(-1(2x + 4) - 2)) - 3))) + 1) - 1, x = -3.0, and x = -2.9. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-1(1cos(1π((2(1(-2x^2 - 1x - 4) + 5) + 3)/(-1(1(-2x^2 - 1x - 4) + 5) - 3))) - 1) + 4)^2 - 3(-1(1cos(1π((2(1(-2x^2 - 1x - 4) + 5) + 3)/(-1(1(-2x^2 - 1x - 4) + 5) - 3))) - 1) + 4) + 5 and g(x) = -3|(-2|(3|(-2cos(1π(3|x + 1| - 2) + 3) - 2) - 1| - 1) - 3| - 3) + 3| + 2 between the vertical lines x = 3.2 and x = 3.5. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2(-2|(2(1(-2(2x + 1) + 1)^2 + 1(-2(2x + 1) + 1) - 1)^2 - 3(1(-2(2x + 1) + 1)^2 + 1(-2(2x + 1) + 1) - 1) + 4) - 1| + 2)^2 - 4(-2|(2(1(-2(2x + 1) + 1)^2 + 1(-2(2x + 1) + 1) - 1)^2 - 3(1(-2(2x + 1) + 1)^2 + 1(-2(2x + 1) + 1) - 1) + 4) - 1| + 2) - 1, g(x) = (-1((2(-1e^(2(-5(-3x + 2)^2 - 3(-3x + 2) + 1)) + 1) - 1)/(3(-1e^(2(-5(-3x + 2)^2 - 3(-3x + 2) + 1)) + 1))) - 1)/(1((2(-1e^(2(-5(-3x + 2)^2 - 3(-3x + 2) + 1)) + 1) - 1)/(3(-1e^(2(-5(-3x + 2)^2 - 3(-3x + 2) + 1)) + 1))) + 3), x = 0.2, and x = 0.30000000000000004. 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(-2|(2sin(1π((-3((3((-2x - 2)/(3x - 1)))/(3((-2x - 2)/(3x - 1)) - 2)) + 3)/(2((3((-2x - 2)/(3x - 1)))/(3((-2x - 2)/(3x - 1)) - 2)) - 1)) + 2) - 3)| + 2)^2 + 3(-2|(2sin(1π((-3((3((-2x - 2)/(3x - 1)))/(3((-2x - 2)/(3x - 1)) - 2)) + 3)/(2((3((-2x - 2)/(3x - 1)))/(3((-2x - 2)/(3x - 1)) - 2)) - 1)) + 2) - 3)| + 2) + 5, g(x) = 5(-2|((-1(2cos(3π(5x - 5) + 1) - 3))/(2(2cos(3π(5x - 5) + 1) - 3) - 1)) + 1| - 3) - 2, x = -3.4, and x = -3.1. Round your answer to 1 decimal place.

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


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

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[User]
Calculate the area enclosed between the functions f(x) = 4(-5(2(1|(3(-1x + 4) - 2) + 1|)^2 + 1(1|(3(-1x + 4) - 2) + 1|) - 5) - 1) - 5 and g(x) = -3cos(2π(1|(1|(-1((3x - 1)/(-3x + 4)) + 3) - 1| + 1) + 2| - 3) - 1) - 2 from x = 3.2 to x = 4.1. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 4(-1|(-1|((1(5(1sin(3πx - 2) + 2)^2 - 5(1sin(3πx - 2) + 2) + 1) + 2)/(1(5(1sin(3πx - 2) + 2)^2 - 5(1sin(3πx - 2) + 2) + 1) - 3)) + 2| - 3) + 2| + 3) - 1, g(x) = 2cos(1π(-2|(-1(-4(5x^2 + 5x) - 5)^2 + 5(-4(5x^2 + 5x) - 5) + 1)| + 1) - 1), x = -3.2, and x = -2.7. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (1(-1(-5(-1cos(1π(5(-4x - 3) + 2) + 2) - 3)^2 + 5(-1cos(1π(5(-4x - 3) + 2) + 2) - 3)) - 2) - 1)/(1(-1(-5(-1cos(1π(5(-4x - 3) + 2) + 2) - 3)^2 + 5(-1cos(1π(5(-4x - 3) + 2) + 2) - 3)) - 2) + 3), g(x) = (-2(1|(-2((3(1|x + 2| - 2) - 3)/(-2(1|x + 2| - 2) - 3))^2 + 2((3(1|x + 2| - 2) - 3)/(-2(1|x + 2| - 2) - 3)) + 4) + 1|) + 2)/(2(1|(-2((3(1|x + 2| - 2) - 3)/(-2(1|x + 2| - 2) - 3))^2 + 2((3(1|x + 2| - 2) - 3)/(-2(1|x + 2| - 2) - 3)) + 4) + 1|) - 1), x = -3.6, and x = -3.5. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (3((-3(3|(-3|(-2((2x - 2)/(-1x - 2)) - 3)| + 2) - 3| - 3) - 3)/(3(3|(-3|(-2((2x - 2)/(-1x - 2)) - 3)| + 2) - 3| - 3))))/(-3((-3(3|(-3|(-2((2x - 2)/(-1x - 2)) - 3)| + 2) - 3| - 3) - 3)/(3(3|(-3|(-2((2x - 2)/(-1x - 2)) - 3)| + 2) - 3| - 3))) - 2), g(x) = 5(-2sin(3π((-3((-1(-1x^2 - 5x - 4) + 2)/(-3(-1x^2 - 5x - 4) + 4)) + 3)/(-3((-1(-1x^2 - 5x - 4) + 2)/(-3(-1x^2 - 5x - 4) + 4)) + 1)) - 2) - 2), x = -4.6, and x = -4.5. 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) = 5(1((3(2sin(3π((2(-4x^2 - 2x + 1))/(-1(-4x^2 - 2x + 1) + 3)) + 1) - 1) + 3)/(3(2sin(3π((2(-4x^2 - 2x + 1))/(-1(-4x^2 - 2x + 1) + 3)) + 1) - 1) + 2))^2 + 2) + 4 and g(x) = -5(-3(-2(-1(-4x - 4)^2 + 2(-4x - 4) + 2) + 5)^2 - 5(-2(-1(-4x - 4)^2 + 2(-4x - 4) + 2) + 5) - 4) - 4 between the vertical lines x = -1.1 and x = -1.0. Round to 1 decimal place.

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

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


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

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


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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(3((2(-3(-1((3x)/(2x + 3))^2 + 5((3x)/(2x + 3)) + 4)) - 3)/(3(-3(-1((3x)/(2x + 3))^2 + 5((3x)/(2x + 3)) + 4)) - 1))^2 - 2((2(-3(-1((3x)/(2x + 3))^2 + 5((3x)/(2x + 3)) + 4)) - 3)/(3(-3(-1((3x)/(2x + 3))^2 + 5((3x)/(2x + 3)) + 4)) - 1)) + 2) + 1 and g(x) = 2|(-1|((-3(5(-1x + 1) + 1) - 3)/(1(5(-1x + 1) + 1))) - 2| + 2) + 2| between the vertical lines x = 1.3 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) = (-2((-1(-2(-3cos(1π((-1(4x + 5))/(2(4x + 5))) - 1) + 2) + 2))/(-2(-2(-3cos(1π((-1(4x + 5))/(2(4x + 5))) - 1) + 2) + 2) + 1)) + 1)/(2((-1(-2(-3cos(1π((-1(4x + 5))/(2(4x + 5))) - 1) + 2) + 2))/(-2(-2(-3cos(1π((-1(4x + 5))/(2(4x + 5))) - 1) + 2) + 2) + 1)) - 1), g(x) = 2(-4(-2(-3(1|x - 3|) + 4) - 1) + 5) - 3, x = 1.3, and x = 4.7. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1((-1(2|(1|((2(3x^2 + 4x - 3))/(-1(3x^2 + 4x - 3) + 2)) - 3| + 1)| + 2) + 3)/(3(2|(1|((2(3x^2 + 4x - 3))/(-1(3x^2 + 4x - 3) + 2)) - 3| + 1)| + 2) + 2))^2 - 2((-1(2|(1|((2(3x^2 + 4x - 3))/(-1(3x^2 + 4x - 3) + 2)) - 3| + 1)| + 2) + 3)/(3(2|(1|((2(3x^2 + 4x - 3))/(-1(3x^2 + 4x - 3) + 2)) - 3| + 1)| + 2) + 2)) - 1, g(x) = -5(-3((1(-3sin(3π((1x + 1)/(-1x - 2)) + 1) - 1) - 1)/(3(-3sin(3π((1x + 1)/(-1x - 2)) + 1) - 1) + 2)) - 5)^2 + 3(-3((1(-3sin(3π((1x + 1)/(-1x - 2)) + 1) - 1) - 1)/(3(-3sin(3π((1x + 1)/(-1x - 2)) + 1) - 1) + 2)) - 5) + 4, x = -2.4, and x = -2.3. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2|(2|(-3|((-3(1(1x - 2)^2 + 3) + 2)/(1(1(1x - 2)^2 + 3) + 2)) - 3| - 2) + 3| + 1) - 3| + 3, g(x) = (2(1|(-2|((3((-2x + 1)/(1x + 1)) - 3)/(1((-2x + 1)/(1x + 1)) + 1)) - 3|) + 3| - 3) + 1)/(-2(1|(-2|((3((-2x + 1)/(1x + 1)) - 3)/(1((-2x + 1)/(1x + 1)) + 1)) - 3|) + 3| - 3) - 3), x = -1.4, and x = -0.7. 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((-1((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2)) + 3)/(2((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2))))^2 + 4((-1((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2)) + 3)/(2((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2)))) + 3) - 3)/(-2(-1((-1((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2)) + 3)/(2((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2))))^2 + 4((-1((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2)) + 3)/(2((-3(2|(3|x - 1| - 1) + 2| - 3))/(-1(2|(3|x - 1| - 1) + 2| - 3) + 2)))) + 3) + 3) and g(x) = -1cos(3π(5(4(-1|((3x - 2)/(2x + 1))| - 2)^2 + 3(-1|((3x - 2)/(2x + 1))| - 2))^2 + 5)) - 1 between the vertical lines x = 0.6 and x = 0.7. Round to 1 decimal place.

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Determine the area of the region enclosed by the graphs of f(x) = (-3((-2((2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) - 2)/(2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) + 3)) + 3)/(2((2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) - 2)/(2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) + 3)) + 2)) + 1)/(-3((-2((2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) - 2)/(2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) + 3)) + 3)/(2((2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) - 2)/(2(-5(-5(-5x^2 - 3x + 5)^2 + 4(-5x^2 - 3x + 5) + 2) - 5) + 3)) + 2)) + 4) and g(x) = -2(2(2(2|((-1x + 3)/(3x + 3)) + 3| - 3)^2 - 2) - 5)^2 - 5(2(2(2|((-1x + 3)/(3x + 3)) + 3| - 3)^2 - 2) - 5) - 1 between the vertical lines x = -1.4 and x = -1.3. Round to 1 decimal place.

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Determine the area of the region enclosed by the graphs of f(x) = -5((2(-3|(1(-3|(2|x - 2| + 2) - 3| - 1)^2 + 1(-3|(2|x - 2| + 2) - 3| - 1) - 1) - 2| + 1) - 1)/(1(-3|(1(-3|(2|x - 2| + 2) - 3| - 1)^2 + 1(-3|(2|x - 2| + 2) - 3| - 1) - 1) - 2| + 1) + 3)) - 2 and g(x) = (-2(-2|((-3(-1cos(1π(1x - 2) + 1) + 3) + 2)/(-2(-1cos(1π(1x - 2) + 1) + 3) + 3)) + 2| - 2) - 1)/(-1(-2|((-3(-1cos(1π(1x - 2) + 1) + 3) + 2)/(-2(-1cos(1π(1x - 2) + 1) + 3) + 3)) + 2| - 2) - 3) between the vertical lines x = 2.3 and x = 2.7. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = (3(-2(5(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2)^2 - 3(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2) - 5)^2 + 3(5(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2)^2 - 3(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2) - 5) + 3) - 3)/(1(-2(5(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2)^2 - 3(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2) - 5)^2 + 3(5(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2)^2 - 3(1|(-1|(-1|x - 1| - 1) + 1| - 3) - 1| + 2) - 5) + 3) - 2) and g(x) = -3(1e^(1(4((2(5x + 2) + 2)/(1(5x + 2) + 3))^2 + 4((2(5x + 2) + 2)/(1(5x + 2) + 3)))) - 1)^2 - 4(1e^(1(4((2(5x + 2) + 2)/(1(5x + 2) + 3))^2 + 4((2(5x + 2) + 2)/(1(5x + 2) + 3)))) - 1) + 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) = -5(-3|((-2(1(3sin(2π(-2|x| + 2) + 3) + 2)^2 - 2(3sin(2π(-2|x| + 2) + 3) + 2) + 1) + 3)/(-3(1(3sin(2π(-2|x| + 2) + 3) + 2)^2 - 2(3sin(2π(-2|x| + 2) + 3) + 2) + 1) - 1)) + 3| - 1)^2 + 3(-3|((-2(1(3sin(2π(-2|x| + 2) + 3) + 2)^2 - 2(3sin(2π(-2|x| + 2) + 3) + 2) + 1) + 3)/(-3(1(3sin(2π(-2|x| + 2) + 3) + 2)^2 - 2(3sin(2π(-2|x| + 2) + 3) + 2) + 1) - 1)) + 3| - 1) - 4 and g(x) = -2|(3(-1(-1(-3cos(1πx - 2) - 2)^2 - 3(-3cos(1πx - 2) - 2) - 2)^2 - 3(-1(-3cos(1πx - 2) - 2)^2 - 3(-3cos(1πx - 2) - 2) - 2)) - 2) + 2| - 3 from x = -3.0 to x = -2.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2|((2(3|(-1|(2(1x^2 - 2x + 2)^2 + 3(1x^2 - 2x + 2) - 5) + 2| + 1) + 2| - 1) - 3)/(1(3|(-1|(2(1x^2 - 2x + 2)^2 + 3(1x^2 - 2x + 2) - 5) + 2| + 1) + 2| - 1)))|, g(x) = -1|(4(4(-2|(4x - 5) + 2| - 1)^2 + 5(-2|(4x - 5) + 2| - 1) + 4)^2 + 4(4(-2|(4x - 5) + 2| - 1)^2 + 5(-2|(4x - 5) + 2| - 1) + 4) + 1)| - 3, x = 0.7, and x = 0.7999999999999999. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1|((3(-3sin(1π(1|(-1(-1|x + 3| + 2) + 5) + 1| - 3)) - 1) + 1)/(-2(-3sin(1π(1|(-1(-1|x + 3| + 2) + 5) + 1| - 3)) - 1) + 3)) - 3| + 3 and g(x) = -3cos(2π(5((3(-1(5x - 3) + 5) + 2)/(-1(-1(5x - 3) + 5) + 3)) + 2) - 3) + 1 from x = 3.2 to x = 3.3000000000000003. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2|(1(-2((2(-4(-3|x + 3| + 3) + 5))/(-2(-4(-3|x + 3| + 3) + 5) + 1))^2 + 1((2(-4(-3|x + 3| + 3) + 5))/(-2(-4(-3|x + 3| + 3) + 5) + 1)) - 3) - 1) + 1| + 1, g(x) = 2|(-1((3(2|(-4x - 4) - 1| + 3) - 1)/(3(2|(-4x - 4) - 1| + 3) - 2)) - 2)| + 2, x = -3.6, 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) = 1(2e^(2(-2(2|(1(1|x|)^2) + 1| - 1)^2 + 5)) - 3) - 4, g(x) = -1((-2(2cos(3π(-2(3x - 1))) + 2) - 3)/(2(2cos(3π(-2(3x - 1))) + 2) + 3)) + 5, x = -0.5, and x = 0.5. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(1|(5(-2|((-2(4x^2 - 4x - 5) - 1)/(3(4x^2 - 4x - 5))) + 1| + 3)^2 + 3(-2|((-2(4x^2 - 4x - 5) - 1)/(3(4x^2 - 4x - 5))) + 1| + 3) + 3) - 3|)^2 + 4(1|(5(-2|((-2(4x^2 - 4x - 5) - 1)/(3(4x^2 - 4x - 5))) + 1| + 3)^2 + 3(-2|((-2(4x^2 - 4x - 5) - 1)/(3(4x^2 - 4x - 5))) + 1| + 3) + 3) - 3|) - 3 and g(x) = 4((2(5(-1(-2|x| + 1) - 5)) + 3)/(-2(5(-1(-2|x| + 1) - 5)) + 3))^2 + 1((2(5(-1(-2|x| + 1) - 5)) + 3)/(-2(5(-1(-2|x| + 1) - 5)) + 3)) + 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(-3|(-3(-3|(1|(-2|x - 2| + 3) + 2| - 2) + 1| + 3)^2 + 3(-3|(1|(-2|x - 2| + 3) + 2| - 2) + 1| + 3))|) - 1)/(-3(-3|(-3(-3|(1|(-2|x - 2| + 3) + 2| - 2) + 1| + 3)^2 + 3(-3|(1|(-2|x - 2| + 3) + 2| - 2) + 1| + 3))|) - 1) and g(x) = 3e^(-2(5(1(2|((-1x - 1)/(-2x - 3)) - 2| + 1)^2 - 2(2|((-1x - 1)/(-2x - 3)) - 2| + 1) - 1) + 3)) from x = 3.7 to x = 4.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (2(-3|((-1(-1sin(2π(-4(5x^2 - 5x - 1) - 1) - 1) + 2) - 1)/(-3(-1sin(2π(-4(5x^2 - 5x - 1) - 1) - 1) + 2) - 2)) + 3| - 3) + 2)/(-1(-3|((-1(-1sin(2π(-4(5x^2 - 5x - 1) - 1) - 1) + 2) - 1)/(-3(-1sin(2π(-4(5x^2 - 5x - 1) - 1) - 1) + 2) - 2)) + 3| - 3) - 2) and g(x) = 5(5(-4(1(-1|x + 1|) - 1) - 4) - 5)^2 + 3(5(-4(1(-1|x + 1|) - 1) - 4) - 5) - 3 from x = -1.2 to x = -0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3(5(-1(-2|(-1(-5x^2 + 3x - 2)^2 - 5(-5x^2 + 3x - 2) + 5) + 1| - 2) - 5)^2 - 2(-1(-2|(-1(-5x^2 + 3x - 2)^2 - 5(-5x^2 + 3x - 2) + 5) + 1| - 2) - 5) - 2) - 4 and g(x) = (-1((2((1(2e^(-1(2|x - 1| - 1))) - 1)/(-1(2e^(-1(2|x - 1| - 1))) - 3)) + 3)/(-3((1(2e^(-1(2|x - 1| - 1))) - 1)/(-1(2e^(-1(2|x - 1| - 1))) - 3)) + 4)) - 2)/(2((2((1(2e^(-1(2|x - 1| - 1))) - 1)/(-1(2e^(-1(2|x - 1| - 1))) - 3)) + 3)/(-3((1(2e^(-1(2|x - 1| - 1))) - 1)/(-1(2e^(-1(2|x - 1| - 1))) - 3)) + 4)) - 1) 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) = -2|(4(-2e^(1(-2|(5(5x^2 - 1x + 5)^2 + 4(5x^2 - 1x + 5) + 3) - 3|)) - 2)^2 + 5(-2e^(1(-2|(5(5x^2 - 1x + 5)^2 + 4(5x^2 - 1x + 5) + 3) - 3|)) - 2) + 1)| - 2 and g(x) = -3|(-3(4(-3((-1x)/(-2x + 3)) - 2) + 2)^2 + 5(4(-3((-1x)/(-2x + 3)) - 2) + 2) - 1) + 1| - 2 from x = 0.7 to 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|(2sin(1π(-5(2|(2|(5x^2 + 1x - 4) - 1| - 2) - 3| + 3)^2 + 4(2|(2|(5x^2 + 1x - 4) - 1| - 2) - 3| + 3) - 4) - 3) + 3) - 3| + 3, g(x) = -3(3sin(3π(3((3(2|x - 1| - 3) - 3)/(3(2|x - 1| - 3) - 2))) - 3) - 2)^2 + 2(3sin(3π(3((3(2|x - 1| - 3) - 3)/(3(2|x - 1| - 3) - 2))) - 3) - 2) + 4, x = 1.0, and x = 1.1. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1|((-1(-1|(-3(5((1x - 1)/(1x - 2)) + 1)^2 + 5(5((1x - 1)/(1x - 2)) + 1) + 5) - 1| + 3) - 1)/(-3(-1|(-3(5((1x - 1)/(1x - 2)) + 1)^2 + 5(5((1x - 1)/(1x - 2)) + 1) + 5) - 1| + 3) - 1)) + 1| + 3 and g(x) = 1(-3((1(3sin(1π(1x^2 + 2x + 2) - 3) + 1) - 2)/(-3(3sin(1π(1x^2 + 2x + 2) - 3) + 1) - 1))^2 - 3((1(3sin(1π(1x^2 + 2x + 2) - 3) + 1) - 2)/(-3(3sin(1π(1x^2 + 2x + 2) - 3) + 1) - 1)) + 1) + 2 from x = 0.8 to 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|(-3e^(2(-3(-1(-1|(1|x - 2| + 3) - 1| + 1)^2 - 2(-1|(1|x - 2| + 3) - 1| + 1) + 1) - 1))) - 2| - 2, g(x) = 1(5((3(3(-2|x - 3| + 2)^2 + 4(-2|x - 3| + 2) - 4) + 2)/(2(3(-2|x - 3| + 2)^2 + 4(-2|x - 3| + 2) - 4) - 1)) + 5) + 1, x = 1.0, and x = 2.3. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1|((-3(-3|(-3(-1((-3x - 3)/(-1x + 2))^2 - 2((-3x - 3)/(-1x + 2)) - 1)^2 + 3(-1((-3x - 3)/(-1x + 2))^2 - 2((-3x - 3)/(-1x + 2)) - 1) - 4) + 2| + 1) + 3)/(-1(-3|(-3(-1((-3x - 3)/(-1x + 2))^2 - 2((-3x - 3)/(-1x + 2)) - 1)^2 + 3(-1((-3x - 3)/(-1x + 2))^2 - 2((-3x - 3)/(-1x + 2)) - 1) - 4) + 2| + 1) - 2)) + 2| + 2 and g(x) = 1(-3sin(2π(-4(-3|(1|x - 3|) + 3| - 1) - 1) + 3) - 1)^2 + 3(-3sin(2π(-4(-3|(1|x - 3|) + 3| - 1) - 1) + 3) - 1) - 2 from x = -0.9 to x = -0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2|(1|(2((3((3(-4x^2 - 5x - 3) + 3)/(-1(-4x^2 - 5x - 3) + 2)) + 3)/(3((3(-4x^2 - 5x - 3) + 3)/(-1(-4x^2 - 5x - 3) + 2)) - 2)) - 4) + 2| - 1) + 3| - 1 and g(x) = -3|(4(-3(-1(2x^2 - 1x + 2)^2 + 2(2x^2 - 1x + 2) + 5) - 4) + 2) + 1| + 3 from x = -0.7 to x = 1.2. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = -4((-3(-4((2((2((1x - 1)/(1x + 1)) - 3)/(2((1x - 1)/(1x + 1)) - 3)) - 2)/(-3((2((1x - 1)/(1x + 1)) - 3)/(2((1x - 1)/(1x + 1)) - 3)) - 2)) - 5) + 1)/(-1(-4((2((2((1x - 1)/(1x + 1)) - 3)/(2((1x - 1)/(1x + 1)) - 3)) - 2)/(-3((2((1x - 1)/(1x + 1)) - 3)/(2((1x - 1)/(1x + 1)) - 3)) - 2)) - 5) - 2)) + 3, g(x) = (-1(-2(-2(-1(-3cos(1πx + 2) + 3) + 2) - 3)^2 + 5) + 2)/(1(-2(-2(-1(-3cos(1πx + 2) + 3) + 2) - 3)^2 + 5)), x = -4.2, and x = -3.1. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-2|(1sin(3π(-1|((-3(2|x - 3| - 3) - 1)/(-2(2|x - 3| - 3) - 1)) - 3| + 3) + 3) + 1) + 3| + 2)^2 - 3(-2|(1sin(3π(-1|((-3(2|x - 3| - 3) - 1)/(-2(2|x - 3| - 3) - 1)) - 3| + 3) + 3) + 1) + 3| + 2) - 2 and g(x) = -1((-2(5((-1(-5x + 2) - 2)/(3(-5x + 2) + 2))^2 + 1((-1(-5x + 2) - 2)/(3(-5x + 2) + 2)) + 1) - 1)/(-1(5((-1(-5x + 2) - 2)/(3(-5x + 2) + 2))^2 + 1((-1(-5x + 2) - 2)/(3(-5x + 2) + 2)) + 1) + 2)) - 3 between the vertical lines x = 0.3 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) = -4(-3(2(-1((-2(1x + 3) - 1)/(-1(1x + 3) - 3))^2 + 4((-2(1x + 3) - 1)/(-1(1x + 3) - 3)) + 5) + 3)^2 + 1(2(-1((-2(1x + 3) - 1)/(-1(1x + 3) - 3))^2 + 4((-2(1x + 3) - 1)/(-1(1x + 3) - 3)) + 5) + 3) + 1) - 3, g(x) = -1((-3(-5(2(2|x|)^2 - 5(2|x|) + 3) + 1) + 3)/(-2(-5(2(2|x|)^2 - 5(2|x|) + 3) + 1) + 1)) - 2, x = -4.5, 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) = -1|((-3(-3|((-2(1(4x + 2) + 1))/(2(1(4x + 2) + 1) - 1)) + 1|) + 1)/(-2(-3|((-2(1(4x + 2) + 1))/(2(1(4x + 2) + 1) - 1)) + 1|) + 1)) + 3| + 2 and g(x) = 3((-1((3(-3(2x^2 - 1x - 5)^2 + 3) + 3)/(1(-3(2x^2 - 1x - 5)^2 + 3) - 2)) + 2)/(1((3(-3(2x^2 - 1x - 5)^2 + 3) + 3)/(1(-3(2x^2 - 1x - 5)^2 + 3) - 2)))) - 4 between the vertical lines x = -1.6 and 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) = -3sin(2π(1(2|((-3(-5(5x + 5)^2 + 3(5x + 5) + 2))/(3(-5(5x + 5)^2 + 3(5x + 5) + 2))) + 2|)^2 + 3(2|((-3(-5(5x + 5)^2 + 3(5x + 5) + 2))/(3(-5(5x + 5)^2 + 3(5x + 5) + 2))) + 2|) - 3) - 3) + 1, g(x) = (3(3(-5(-2(-5x - 2)^2 - 4(-5x - 2) + 4)^2 - 2(-2(-5x - 2)^2 - 4(-5x - 2) + 4) + 1)^2 + 4(-5(-2(-5x - 2)^2 - 4(-5x - 2) + 4)^2 - 2(-2(-5x - 2)^2 - 4(-5x - 2) + 4) + 1) - 5) - 3)/(3(3(-5(-2(-5x - 2)^2 - 4(-5x - 2) + 4)^2 - 2(-2(-5x - 2)^2 - 4(-5x - 2) + 4) + 1)^2 + 4(-5(-2(-5x - 2)^2 - 4(-5x - 2) + 4)^2 - 2(-2(-5x - 2)^2 - 4(-5x - 2) + 4) + 1) - 5) + 2), x = -0.5, and x = -0.4. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2|(-1(-4((2(-2sin(2π((-1x - 1)/(1x + 2)) - 2) + 1) + 2)/(-3(-2sin(2π((-1x - 1)/(1x + 2)) - 2) + 1) + 2)) - 4) + 3)| + 2, g(x) = 4(-3|((2((-2(1x + 5) + 1)/(-1(1x + 5) - 1)) + 1)/(1((-2(1x + 5) + 1)/(-1(1x + 5) - 1)) - 3)) + 1|) + 2, x = -2.1, and x = -2.0. 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|(2(2(2sin(1π(-4x) - 3) - 2) + 5) - 4)| + 3) - 1)/(-1(-3|(2(2(2sin(1π(-4x) - 3) - 2) + 5) - 4)| + 3) + 2), g(x) = (-2(-2|((3(2(4x + 1) - 5))/(2(2(4x + 1) - 5) - 3)) + 2|) + 2)/(-2(-2|((3(2(4x + 1) - 5))/(2(2(4x + 1) - 5) - 3)) + 2|) + 3), x = -0.2, and x = 0.0. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1|((-3((2(2|(2|(3|x + 3| - 1) - 3| + 1) - 3| + 2) + 3)/(-3(2|(2|(3|x + 3| - 1) - 3| + 1) - 3| + 2) + 4)) + 1)/(1((2(2|(2|(3|x + 3| - 1) - 3| + 1) - 3| + 2) + 3)/(-3(2|(2|(3|x + 3| - 1) - 3| + 1) - 3| + 2) + 4)) + 3))| and g(x) = 4(1|(-3|((-1(-3x - 5) + 3)/(2(-3x - 5) - 1)) + 2| + 3) + 1| - 1)^2 + 1(1|(-3|((-1(-3x - 5) + 3)/(2(-3x - 5) - 1)) + 2| + 3) + 1| - 1) - 5 from x = -1.6 to 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) = -1sin(3π((2(-1(-3|(3(4x^2 - 5) - 2) - 2| - 1) - 5) + 3)/(3(-1(-3|(3(4x^2 - 5) - 2) - 2| - 1) - 5) + 3)) + 2) - 3, g(x) = -3cos(3π(3|(1|(-2(-3|x - 1| - 3)^2 - 2(-3|x - 1| - 3)) + 1| + 3) - 2|)) - 1, x = -3.2, and x = -3.1. 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) = 3((2(2(1(1((-3x + 2)/(-1x))^2 + 5((-3x + 2)/(-1x)) + 2) - 1)^2 - 3(1(1((-3x + 2)/(-1x))^2 + 5((-3x + 2)/(-1x)) + 2) - 1) - 3) + 3)/(1(2(1(1((-3x + 2)/(-1x))^2 + 5((-3x + 2)/(-1x)) + 2) - 1)^2 - 3(1(1((-3x + 2)/(-1x))^2 + 5((-3x + 2)/(-1x)) + 2) - 1) - 3) + 3)) - 4 and g(x) = 3(-1((-3((2(1sin(2πx - 2) + 1) + 1)/(-1(1sin(2πx - 2) + 1) + 3)) - 2)/(-1((2(1sin(2πx - 2) + 1) + 1)/(-1(1sin(2πx - 2) + 1) + 3)))) + 4) + 3 between the vertical lines x = 3.3 and x = 3.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(3sin(1π(-3|(-3(2|(4x + 1)| + 1)^2 + 2(2|(4x + 1)| + 1) - 1) - 2| + 2))) - 3)/(3(3sin(1π(-3|(-3(2|(4x + 1)| + 1)^2 + 2(2|(4x + 1)| + 1) - 1) - 2| + 2))) - 2) and g(x) = -1((2(5((1(-4x^2 - 3) - 1)/(-1(-4x^2 - 3))) + 3) + 3)/(-3(5((1(-4x^2 - 3) - 1)/(-1(-4x^2 - 3))) + 3) + 2))^2 + 1((2(5((1(-4x^2 - 3) - 1)/(-1(-4x^2 - 3))) + 3) + 3)/(-3(5((1(-4x^2 - 3) - 1)/(-1(-4x^2 - 3))) + 3) + 2)) - 4 between the vertical lines x = 1.8 and x = 1.9. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4((-1((3((-1(-1|(-2|x + 2| + 1) - 2| - 2))/(-2(-1|(-2|x + 2| + 1) - 2| - 2))) - 2)/(2((-1(-1|(-2|x + 2| + 1) - 2| - 2))/(-2(-1|(-2|x + 2| + 1) - 2| - 2))))) - 2)/(-2((3((-1(-1|(-2|x + 2| + 1) - 2| - 2))/(-2(-1|(-2|x + 2| + 1) - 2| - 2))) - 2)/(2((-1(-1|(-2|x + 2| + 1) - 2| - 2))/(-2(-1|(-2|x + 2| + 1) - 2| - 2))))) + 3)) + 3 and g(x) = -2(1sin(3π((-1(1(-3x - 5)^2 - 1(-3x - 5) + 4) + 2)/(-1(1(-3x - 5)^2 - 1(-3x - 5) + 4))) - 2) - 1)^2 - 1(1sin(3π((-1(1(-3x - 5)^2 - 1(-3x - 5) + 4) + 2)/(-1(1(-3x - 5)^2 - 1(-3x - 5) + 4))) - 2) - 1) + 5 from x = -2.1 to x = -1.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1((3((1(-3e^(-2((1(1x - 2) + 2)/(-2(1x - 2) - 3))) + 3) - 3)/(1(-3e^(-2((1(1x - 2) + 2)/(-2(1x - 2) - 3))) + 3))))/(-3((1(-3e^(-2((1(1x - 2) + 2)/(-2(1x - 2) - 3))) + 3) - 3)/(1(-3e^(-2((1(1x - 2) + 2)/(-2(1x - 2) - 3))) + 3))) - 2)) - 1, g(x) = 1(-3sin(3π((-1(-1|(1x + 5) - 3| + 2) + 3)/(-3(-1|(1x + 5) - 3| + 2) - 3)) + 2) + 2)^2 - 5(-3sin(3π((-1(-1|(1x + 5) - 3| + 2) + 3)/(-3(-1|(1x + 5) - 3| + 2) - 3)) + 2) + 2) - 5, x = -3.7, 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((-3(-1(3x^2 - 5x - 1)^2 + 2(3x^2 - 5x - 1) - 2) - 1)/(2(-1(3x^2 - 5x - 1)^2 + 2(3x^2 - 5x - 1) - 2) + 1)) - 1)/(-2((-3(-1(3x^2 - 5x - 1)^2 + 2(3x^2 - 5x - 1) - 2) - 1)/(2(-1(3x^2 - 5x - 1)^2 + 2(3x^2 - 5x - 1) - 2) + 1)) - 2)) + 3) + 2 and g(x) = 3|((-2(2|(-1|(2x + 1) - 3| + 1) + 3|) + 1)/(-3(2|(-1|(2x + 1) - 3| + 1) + 3|))) + 2| from x = -1.0 to 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) = 3(3sin(3π(2|(2(-3((-2x + 1)/(2x - 3)) - 2)^2 - 4(-3((-2x + 1)/(2x - 3)) - 2) - 5) + 2| + 2)) - 2) + 1 and g(x) = 1|(-2|((1(-1|(-1x + 5) - 1| - 1) - 1)/(1(-1|(-1x + 5) - 1| - 1) + 2)) + 2| - 1) - 2| - 2 between the vertical lines x = 4.0 and x = 4.1. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(-1|((-2(1(2(-3x + 3) - 5) - 3))/(-3(1(2(-3x + 3) - 5) - 3) - 3)) - 2| - 2) - 2| - 3 and g(x) = -1((-1(3(-4(4x - 3)^2 + 5) - 2) + 2)/(-3(3(-4(4x - 3)^2 + 5) - 2) - 2)) - 1 between the vertical lines x = 0.5 and 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|((1(3((2x + 2)/(1x))) - 3)/(1(3((2x + 2)/(1x))) + 3)) + 2| + 2) + 1| + 2) + 1 and g(x) = -2|(-1|(2(-3((1x)/(2x - 1))^2 - 5((1x)/(2x - 1))) + 5) - 2|) - 1| + 1 from x = 0.4 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) = 3sin(2π(-1|(4(-2(-1(2|x - 2| - 3)^2 + 3(2|x - 2| - 3) - 1) + 5) - 5) - 3| + 2) + 2) - 2, g(x) = -2|(-3|((-1((3((-2x - 3)/(-2x + 3)) + 1)/(-2((-2x - 3)/(-2x + 3)) + 3)) - 3)/(-2((3((-2x - 3)/(-2x + 3)) + 1)/(-2((-2x - 3)/(-2x + 3)) + 3)))) + 1| + 1) - 2| + 1, x = 1.1, and x = 1.2000000000000002. 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((-3(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)/(-2(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)) - 2)/(2((-3(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)/(-2(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)) - 1)) + 2)/(-2((-3((-3(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)/(-2(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)) - 2)/(2((-3(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)/(-2(-2cos(2π(-4((-2x + 1)/(-2x - 3))^2 - 3((-2x + 1)/(-2x - 3)) - 4) + 1) + 2) + 3)) - 1)) - 1) and g(x) = -3((3(-1e^(1(-3((2x - 1)/(-2x - 1)) + 4)) - 2) - 2)/(-1(-1e^(1(-3((2x - 1)/(-2x - 1)) + 4)) - 2) - 2))^2 - 1((3(-1e^(1(-3((2x - 1)/(-2x - 1)) + 4)) - 2) - 2)/(-1(-1e^(1(-3((2x - 1)/(-2x - 1)) + 4)) - 2) - 2)) - 1 from x = 3.7 to x = 5.0. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 4(1(1|(1|(1cos(1π(5x - 5) - 2) + 1) - 1| - 3) - 1| + 2)^2 - 5(1|(1|(1cos(1π(5x - 5) - 2) + 1) - 1| - 3) - 1| + 2)) - 2 and g(x) = 2|(-2e^(1((1(5(2|x - 1| + 3)^2 + 1(2|x - 1| + 3) + 3) + 3)/(-2(5(2|x - 1| + 3)^2 + 1(2|x - 1| + 3) + 3) + 3))) - 1) - 3| - 2 from x = -2.7 to x = -2.6. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = (-2(3cos(3π(5(-4(4(-1x^2 + 4x - 5) + 1) + 2)^2 - 2(-4(4(-1x^2 + 4x - 5) + 1) + 2) + 4) + 1) + 3) - 1)/(3(3cos(3π(5(-4(4(-1x^2 + 4x - 5) + 1) + 2)^2 - 2(-4(4(-1x^2 + 4x - 5) + 1) + 2) + 4) + 1) + 3)), g(x) = (1((-1(3|(5(3x - 1)^2 - 1(3x - 1) - 1) - 1| - 2) - 1)/(2(3|(5(3x - 1)^2 - 1(3x - 1) - 1) - 1| - 2) + 1)) - 1)/(2((-1(3|(5(3x - 1)^2 - 1(3x - 1) - 1) - 1| - 2) - 1)/(2(3|(5(3x - 1)^2 - 1(3x - 1) - 1) - 1| - 2) + 1))), x = 0.2, and x = 0.6. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2|((2(2(1((1(-2x - 1) - 1)/(-2(-2x - 1) - 1))) - 1) + 3)/(-2(2(1((1(-2x - 1) - 1)/(-2(-2x - 1) - 1))) - 1) + 3))| - 1 and g(x) = (2(2cos(2π(-1|(-1|(-2|x - 2| + 2) + 1| + 3) + 3| - 1) + 1) + 1) - 2)/(3(2cos(2π(-1|(-1|(-2|x - 2| + 2) + 1| + 3) + 3| - 1) + 1) + 1) - 2) from x = 3.2 to x = 3.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|((-3(4((2(2(2x + 4)^2 - 5(2x + 4) + 5) - 2)/(-1(2(2x + 4)^2 - 5(2x + 4) + 5) + 2))^2 + 1((2(2(2x + 4)^2 - 5(2x + 4) + 5) - 2)/(-1(2(2x + 4)^2 - 5(2x + 4) + 5) + 2)) - 5) - 3)/(2(4((2(2(2x + 4)^2 - 5(2x + 4) + 5) - 2)/(-1(2(2x + 4)^2 - 5(2x + 4) + 5) + 2))^2 + 1((2(2(2x + 4)^2 - 5(2x + 4) + 5) - 2)/(-1(2(2x + 4)^2 - 5(2x + 4) + 5) + 2)) - 5) - 1)) - 1| - 1 and g(x) = -3|(-2(1|(1(-4x)^2 - 3(-4x) - 3) + 1| + 1) + 3)| - 2 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(3((-3((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 1)/(-2((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 3))^2 - 4((-3((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 1)/(-2((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 3)) + 4) + 3)/(-3(3((-3((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 1)/(-2((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 3))^2 - 4((-3((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 1)/(-2((1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) - 3)/(1(5(-1x^2 + 4x)^2 - 4(-1x^2 + 4x) - 4) + 3)) + 3)) + 4) + 4) and g(x) = 4(1(2((-2(2|x + 1| - 3) + 2)/(1(2|x + 1| - 3))) + 3)^2 - 5(2((-2(2|x + 1| - 3) + 2)/(1(2|x + 1| - 3))) + 3) + 1) - 1 between the vertical lines x = -4.3 and x = -2.8. Round to 1 decimal place.

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

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

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[User]
Find the area of the region bounded by the curves f(x) = -3(-2((2(-3|((-3((2x + 3)/(-1x + 2)) + 3)/(-3((2x + 3)/(-1x + 2)) + 1)) - 1|) - 2)/(2(-3|((-3((2x + 3)/(-1x + 2)) + 3)/(-3((2x + 3)/(-1x + 2)) + 1)) - 1|) - 1)) + 4)^2 - 3(-2((2(-3|((-3((2x + 3)/(-1x + 2)) + 3)/(-3((2x + 3)/(-1x + 2)) + 1)) - 1|) - 2)/(2(-3|((-3((2x + 3)/(-1x + 2)) + 3)/(-3((2x + 3)/(-1x + 2)) + 1)) - 1|) - 1)) + 4) - 5, g(x) = -3|((-2((-2((2(2|x - 3|) - 2)/(3(2|x - 3|) - 1)) - 3)/(-1((2(2|x - 3|) - 2)/(3(2|x - 3|) - 1)) - 1)) + 2)/(1((-2((2(2|x - 3|) - 2)/(3(2|x - 3|) - 1)) - 3)/(-1((2(2|x - 3|) - 2)/(3(2|x - 3|) - 1)) - 1)))) + 2| - 1, x = 2.8, and x = 3.3. Round your answer to 1 decimal place.

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = 2cos(3π(-5(4(1((-3(2|x + 2| + 3) + 1)/(2(2|x + 2| + 3) + 3)) + 4)^2 - 3(1((-3(2|x + 2| + 3) + 1)/(2(2|x + 2| + 3) + 3)) + 4) + 2) + 2) - 1) - 1 and g(x) = 3cos(2π(-4(2|(-4(2|x| - 2)^2 + 5(2|x| - 2) - 2) + 1| - 1)^2 + 4) - 3) + 1 from x = 2.0 to 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) = 2(-4(-3(3(1cos(2π((3x + 3)/(-2x)) - 3) - 1)^2 - 4(1cos(2π((3x + 3)/(-2x)) - 3) - 1) + 1)^2 + 4(3(1cos(2π((3x + 3)/(-2x)) - 3) - 1)^2 - 4(1cos(2π((3x + 3)/(-2x)) - 3) - 1) + 1)) + 3) + 2, g(x) = 4(-5(-2|(-5(-1x^2 - 3x) + 2) + 2| + 2)^2) + 2, x = -0.2, and x = -0.1. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2|(-1|(3((2((1((3x + 3)/(2x - 1)) + 1)/(-3((3x + 3)/(2x - 1)) - 1)) - 3)/(2((1((3x + 3)/(2x - 1)) + 1)/(-3((3x + 3)/(2x - 1)) - 1)) - 1)) + 3) + 2| + 3) - 2| + 3 and g(x) = 3(2(-1cos(2π(1((-3x - 3)/(2x + 2)) - 4) + 3) - 2)^2 + 5(-1cos(2π(1((-3x - 3)/(2x + 2)) - 4) + 3) - 2) + 1) - 3 from x = -0.6 to 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) = 2cos(2π(-2|(-1(-1(-4(3x^2 - 3x - 2)^2) + 1) + 2) - 1|) + 2) - 2, g(x) = -3|((3(1sin(1π(-5(-2x - 2)^2 + 5(-2x - 2) + 5) - 3) + 2) + 2)/(-2(1sin(1π(-5(-2x - 2)^2 + 5(-2x - 2) + 5) - 3) + 2))) + 3| - 2, x = 0.6, 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) = -3(2|((-1(-2(2|(1|x| + 1) - 3|) + 4) + 2)/(-2(-2(2|(1|x| + 1) - 3|) + 4) - 2)) - 2|) - 2, g(x) = -3e^(-2(3|(1|(1|((2x - 1)/(-2x + 3)) - 3| - 2) - 2| - 3) + 2| - 3)) - 1, x = -3.4, and x = -2.6. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3|(-2|(5((-2((-1(2|x + 2| - 3) + 3)/(-2(2|x + 2| - 3) - 1)) - 2)/(-1((-1(2|x + 2| - 3) + 3)/(-2(2|x + 2| - 3) - 1)) + 3))^2 + 4((-2((-1(2|x + 2| - 3) + 3)/(-2(2|x + 2| - 3) - 1)) - 2)/(-1((-1(2|x + 2| - 3) + 3)/(-2(2|x + 2| - 3) - 1)) + 3)) + 2) - 2|) - 2| - 3 and g(x) = 1(3(3(2sin(2π(2|x + 1| + 3) - 3) + 2)^2 + 5) - 4) + 2 from x = -3.6 to x = -3.5. Round to 1 decimal place.

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


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

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[User]
Find the area of the region bounded by the curves f(x) = 1((1(2|(2|(1|((1x)/(-3x + 2)) + 2| + 2) + 3|) - 3| - 3) - 1)/(-2(2|(2|(1|((1x)/(-3x + 2)) + 2| + 2) + 3|) - 3| - 3)))^2 + 2((1(2|(2|(1|((1x)/(-3x + 2)) + 2| + 2) + 3|) - 3| - 3) - 1)/(-2(2|(2|(1|((1x)/(-3x + 2)) + 2| + 2) + 3|) - 3| - 3))) + 1, g(x) = -5(3(1cos(3π((-2(-1|x + 1|) - 2)/(-2(-1|x + 1|) + 3)) + 1) + 1) - 2) + 1, x = -1.4, 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) = 4((3(-2((-2((-2(-1x - 1))/(2(-1x - 1) + 1)))/(-1((-2(-1x - 1))/(2(-1x - 1) + 1)) - 1)) + 4) - 2)/(-1(-2((-2((-2(-1x - 1))/(2(-1x - 1) + 1)))/(-1((-2(-1x - 1))/(2(-1x - 1) + 1)) - 1)) + 4) - 2)), g(x) = -3|((2(-3|(1(-5x^2 - 3x + 3) + 2) - 3| + 3) + 2)/(-2(-3|(1(-5x^2 - 3x + 3) + 2) - 3| + 3) - 3))| - 2, x = -1.2, and x = -1.0999999999999999. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(-3(4((-2((-2(5x^2 - 2))/(-2(5x^2 - 2) + 3)) - 3)/(-3((-2(5x^2 - 2))/(-2(5x^2 - 2) + 3)) - 3)) - 4) - 4) - 2)/(2(-3(4((-2((-2(5x^2 - 2))/(-2(5x^2 - 2) + 3)) - 3)/(-3((-2(5x^2 - 2))/(-2(5x^2 - 2) + 3)) - 3)) - 4) - 4) - 3), g(x) = -2|(-1|(1|((-2(2|x|) + 2)/(2(2|x|) + 2)) - 2| + 1) - 2| - 2) + 1| - 2, x = -0.8, and x = 0.8. 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(-1|(-4(-1cos(2π(-1((-3x - 1)/(2x - 1))^2 + 1((-3x - 1)/(2x - 1)) - 3) + 3)) + 3) + 3|) + 2)/(-1(-1|(-4(-1cos(2π(-1((-3x - 1)/(2x - 1))^2 + 1((-3x - 1)/(2x - 1)) - 3) + 3)) + 3) + 3|)), g(x) = 1|(1(-3sin(1π(4(-3x^2 + 3x + 4)^2 - 4(-3x^2 + 3x + 4)) - 1) + 3)^2 - 4(-3sin(1π(4(-3x^2 + 3x + 4)^2 - 4(-3x^2 + 3x + 4)) - 1) + 3) - 3) + 2| + 1, x = -2.0, and x = -1.9. 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((-1(5(1(3(-3x + 5) - 2) - 5) + 3) + 1)/(3(5(1(3(-3x + 5) - 2) - 5) + 3) + 2))) and g(x) = (2(-4((1(-2|(-2sin(3πx - 1) - 1)| + 1) - 1)/(-2(-2|(-2sin(3πx - 1) - 1)| + 1) + 1))^2 + 1((1(-2|(-2sin(3πx - 1) - 1)| + 1) - 1)/(-2(-2|(-2sin(3πx - 1) - 1)| + 1) + 1)) - 1) + 1)/(-2(-4((1(-2|(-2sin(3πx - 1) - 1)| + 1) - 1)/(-2(-2|(-2sin(3πx - 1) - 1)| + 1) + 1))^2 + 1((1(-2|(-2sin(3πx - 1) - 1)| + 1) - 1)/(-2(-2|(-2sin(3πx - 1) - 1)| + 1) + 1)) - 1) - 3) between the vertical lines x = 2.5 and x = 2.7. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = -3|(3(-1|(-2((3((-1x + 1)/(-2x + 3)) + 3)/(3((-1x + 1)/(-2x + 3)) - 2)) + 1)| + 3) + 2) - 3| + 1, g(x) = -3(-2e^(-2(2|(5(3x^2 + 2x + 1) + 4) - 2| + 3)) + 1)^2 + 3(-2e^(-2(2|(5(3x^2 + 2x + 1) + 4) - 2| + 3)) + 1) - 2, x = 1.1, and x = 1.2. 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(3e^(2(4(-1|(1|(1x^2 + 4x + 4)| + 1) - 3| - 3) + 5)) - 2) - 3)/(-3(3e^(2(4(-1|(1|(1x^2 + 4x + 4)| + 1) - 3| - 3) + 5)) - 2) - 1) and g(x) = (-2(1|(-1(-3sin(2π(1|x - 1| + 2) + 2) + 2)^2 + 5(-3sin(2π(1|x - 1| + 2) + 2) + 2) - 3)|) + 1)/(-2(1|(-1(-3sin(2π(1|x - 1| + 2) + 2) + 2)^2 + 5(-3sin(2π(1|x - 1| + 2) + 2) + 2) - 3)|)) between the vertical lines x = -1.8 and x = -1.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (3(2cos(1π(2|(4((-2(-2x^2 - 2x) + 3)/(1(-2x^2 - 2x)))) + 3|) + 3) - 2) - 3)/(-3(2cos(1π(2|(4((-2(-2x^2 - 2x) + 3)/(1(-2x^2 - 2x)))) + 3|) + 3) - 2) - 3), g(x) = 1((-2((1(-2(1|x + 3| + 1) - 2) - 3)/(2(-2(1|x + 3| + 1) - 2) + 2)))/(-2((1(-2(1|x + 3| + 1) - 2) - 3)/(2(-2(1|x + 3| + 1) - 2) + 2)) - 2))^2 + 5((-2((1(-2(1|x + 3| + 1) - 2) - 3)/(2(-2(1|x + 3| + 1) - 2) + 2)))/(-2((1(-2(1|x + 3| + 1) - 2) - 3)/(2(-2(1|x + 3| + 1) - 2) + 2)) - 2)), x = -0.7, and x = -0.6. 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) = (-3((-3(3(3|(2(1x - 4) + 3)| + 3)^2 + 3(3|(2(1x - 4) + 3)| + 3) - 5) - 2)/(-2(3(3|(2(1x - 4) + 3)| + 3)^2 + 3(3|(2(1x - 4) + 3)| + 3) - 5) + 3)) + 3)/(-3((-3(3(3|(2(1x - 4) + 3)| + 3)^2 + 3(3|(2(1x - 4) + 3)| + 3) - 5) - 2)/(-2(3(3|(2(1x - 4) + 3)| + 3)^2 + 3(3|(2(1x - 4) + 3)| + 3) - 5) + 3)) + 1) and g(x) = 4(2cos(2π(1(-5(4x + 3) - 2)) + 2) - 1)^2 - 4(2cos(2π(1(-5(4x + 3) - 2)) + 2) - 1) + 1 between the vertical lines x = -5.0 and x = -4.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4((1(-3(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1)^2 + 1(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1) + 1) + 1)/(-3(-3(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1)^2 + 1(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1) + 1)))^2 - 5((1(-3(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1)^2 + 1(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1) + 1) + 1)/(-3(-3(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1)^2 + 1(-2((3(-4x - 3) + 3)/(3(-4x - 3) + 3)) - 1) + 1))) + 3 and g(x) = -2(-2(-1(-3((2x - 3)/(2x)) - 2) + 3)^2 + 3(-1(-3((2x - 3)/(2x)) - 2) + 3) + 4) between the vertical lines x = 0.5 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) = 5(-1((-2(1(-2(1e^(-1x) - 1) - 1) + 3) - 2)/(1(1(-2(1e^(-1x) - 1) - 1) + 3) + 3))^2 + 3((-2(1(-2(1e^(-1x) - 1) - 1) + 3) - 2)/(1(1(-2(1e^(-1x) - 1) - 1) + 3) + 3)) - 1)^2 - 5(-1((-2(1(-2(1e^(-1x) - 1) - 1) + 3) - 2)/(1(1(-2(1e^(-1x) - 1) - 1) + 3) + 3))^2 + 3((-2(1(-2(1e^(-1x) - 1) - 1) + 3) - 2)/(1(1(-2(1e^(-1x) - 1) - 1) + 3) + 3)) - 1) - 5, g(x) = 4(-3cos(1π(1(-4(1|x|)^2 - 5(1|x|) - 4)^2 + 3(-4(1|x|)^2 - 5(1|x|) - 4) - 2) + 2) - 2)^2 - 5, x = -1.1, and x = -1.0. 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|(-2(1sin(2π((-1((-2(-2|x - 3|) + 3)/(1(-2|x - 3|) + 2)) - 2)/(2((-2(-2|x - 3|) + 3)/(1(-2|x - 3|) + 2)) + 1))) - 3)^2 - 2(1sin(2π((-1((-2(-2|x - 3|) + 3)/(1(-2|x - 3|) + 2)) - 2)/(2((-2(-2|x - 3|) + 3)/(1(-2|x - 3|) + 2)) + 1))) - 3) + 2) - 2| + 1, g(x) = 1(-3|((3(-1(-3x + 4) - 3))/(-1(-1(-3x + 4) - 3) + 2)) - 3| - 3) - 1, x = 2.8, and x = 3.8. 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) = (-1((-1(-3cos(1π((1(2((1x - 3)/(-2x)) + 5) - 2)/(-2(2((1x - 3)/(-2x)) + 5) - 3)) + 2) - 3) - 3)/(2(-3cos(1π((1(2((1x - 3)/(-2x)) + 5) - 2)/(-2(2((1x - 3)/(-2x)) + 5) - 3)) + 2) - 3) - 1)) + 1)/(-1((-1(-3cos(1π((1(2((1x - 3)/(-2x)) + 5) - 2)/(-2(2((1x - 3)/(-2x)) + 5) - 3)) + 2) - 3) - 3)/(2(-3cos(1π((1(2((1x - 3)/(-2x)) + 5) - 2)/(-2(2((1x - 3)/(-2x)) + 5) - 3)) + 2) - 3) - 1)) + 2) and g(x) = 1(3(3|(3(3|x - 3| - 2)^2 - 2(3|x - 3| - 2) - 4) - 1| - 2)^2 + 5(3|(3(3|x - 3| - 2)^2 - 2(3|x - 3| - 2) - 4) - 1| - 2))^2 - 5(3(3|(3(3|x - 3| - 2)^2 - 2(3|x - 3| - 2) - 4) - 1| - 2)^2 + 5(3|(3(3|x - 3| - 2)^2 - 2(3|x - 3| - 2) - 4) - 1| - 2)) between the vertical lines x = 2.6 and x = 2.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1(3(2(2(-4(1x + 5) + 2)^2 - 5(-4(1x + 5) + 2) + 1)^2 - 2(2(-4(1x + 5) + 2)^2 - 5(-4(1x + 5) + 2) + 1) + 1)^2 - 3(2(2(-4(1x + 5) + 2)^2 - 5(-4(1x + 5) + 2) + 1)^2 - 2(2(-4(1x + 5) + 2)^2 - 5(-4(1x + 5) + 2) + 1) + 1) - 5) + 1, g(x) = (2((-1(1sin(2π((1(-1x - 4) - 3)/(3(-1x - 4) - 1)) - 3) + 2))/(1(1sin(2π((1(-1x - 4) - 3)/(3(-1x - 4) - 1)) - 3) + 2) - 2)) - 3)/(1((-1(1sin(2π((1(-1x - 4) - 3)/(3(-1x - 4) - 1)) - 3) + 2))/(1(1sin(2π((1(-1x - 4) - 3)/(3(-1x - 4) - 1)) - 3) + 2) - 2)) + 2), x = -4.6, and x = -4.5. 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(-1(2|(-2|(-2cos(2πx + 3) + 2)|) - 3|) + 5)^2 - 3(-1(2|(-2|(-2cos(2πx + 3) + 2)|) - 3|) + 5) - 5) + 1| + 3 and g(x) = 5(4(3cos(1π(-3(-3x^2 + 3x - 4) - 2) - 2) - 2) - 3) - 5 between the vertical lines x = 0.7 and x = 1.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3((-3(4((2(-1|(-2|x + 3| - 1) + 2|) - 3)/(3(-1|(-2|x + 3| - 1) + 2|) + 1))))/(-3(4((2(-1|(-2|x + 3| - 1) + 2|) - 3)/(3(-1|(-2|x + 3| - 1) + 2|) + 1))) - 1)) - 2 and g(x) = -5(4(3((-2(2sin(1πx - 3) - 1))/(-1(2sin(1πx - 3) - 1) + 2))^2 - 2((-2(2sin(1πx - 3) - 1))/(-1(2sin(1πx - 3) - 1) + 2)) - 5) - 2) + 4 from x = 1.3 to x = 1.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2e^(-2(1((-3(2|(-4((-2x - 2)/(1x - 3))) + 3|) - 2)/(1(2|(-4((-2x - 2)/(1x - 3))) + 3|) - 3))^2 + 2((-3(2|(-4((-2x - 2)/(1x - 3))) + 3|) - 2)/(1(2|(-4((-2x - 2)/(1x - 3))) + 3|) - 3)) - 4)) and g(x) = 1cos(2π(-5((-1(1|(3x - 1) + 2| + 3) - 3)/(2(1|(3x - 1) + 2| + 3) - 1)) - 5) - 2) - 1 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) = (1(1|(-2|(-3((-2(-5x^2 - 4x - 1))/(3(-5x^2 - 4x - 1) + 2)) - 5)| - 3)| + 3) + 3)/(-2(1|(-2|(-3((-2(-5x^2 - 4x - 1))/(3(-5x^2 - 4x - 1) + 2)) - 5)| - 3)| + 3) - 3) and g(x) = 2cos(3π(-4(3|(5(5x + 5)^2 - 1(5x + 5) - 4) - 1| + 3)^2 - 2(3|(5(5x + 5)^2 - 1(5x + 5) - 4) - 1| + 3)) + 3) + 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) = 3(1(-4((1((2(3x + 3) + 1)/(-1(3x + 3) + 2)) - 3)/(3((2(3x + 3) + 1)/(-1(3x + 3) + 2)) + 3)) + 3)^2 - 1(-4((1((2(3x + 3) + 1)/(-1(3x + 3) + 2)) - 3)/(3((2(3x + 3) + 1)/(-1(3x + 3) + 2)) + 3)) + 3) - 1) - 3, g(x) = 2((1(3|(-2sin(3π((1x)/(1x)) - 2) - 3) + 3| - 1) - 3)/(2(3|(-2sin(3π((1x)/(1x)) - 2) - 3) + 3| - 1) - 1))^2 + 5((1(3|(-2sin(3π((1x)/(1x)) - 2) - 3) + 3| - 1) - 3)/(2(3|(-2sin(3π((1x)/(1x)) - 2) - 3) + 3| - 1) - 1)) - 4, x = -0.3, 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) = -5(2|((-1(4(-4(2|x - 2| - 2) + 3) - 1) - 1)/(1(4(-4(2|x - 2| - 2) + 3) - 1) - 3)) + 3| - 3)^2 + 4(2|((-1(4(-4(2|x - 2| - 2) + 3) - 1) - 1)/(1(4(-4(2|x - 2| - 2) + 3) - 1) - 3)) + 3| - 3) + 5, g(x) = -5((1(2|((-1(-3x - 5))/(1(-3x - 5) + 3)) - 3| + 1))/(2(2|((-1(-3x - 5))/(1(-3x - 5) + 3)) - 3| + 1)))^2 + 1, x = 0.8, 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) = 2sin(1π((-3(-1((-1(5((3x + 3)/(2x)) + 2))/(-2(5((3x + 3)/(2x)) + 2) + 3))^2 + 1((-1(5((3x + 3)/(2x)) + 2))/(-2(5((3x + 3)/(2x)) + 2) + 3)) - 5) - 3)/(-2(-1((-1(5((3x + 3)/(2x)) + 2))/(-2(5((3x + 3)/(2x)) + 2) + 3))^2 + 1((-1(5((3x + 3)/(2x)) + 2))/(-2(5((3x + 3)/(2x)) + 2) + 3)) - 5) - 1)) - 3) - 1, g(x) = (1(1(4(-4(3x - 5) + 2) + 3)^2 + 2(4(-4(3x - 5) + 2) + 3) + 2) - 2)/(-2(1(4(-4(3x - 5) + 2) + 3)^2 + 2(4(-4(3x - 5) + 2) + 3) + 2) + 3), x = 1.9, and x = 2.0. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-4(-1(5(-1e^(1(-3|x - 2|)) - 1) + 2) - 2) - 4) - 2)/(-2(-4(-1(5(-1e^(1(-3|x - 2|)) - 1) + 2) - 2) - 4) + 3) and g(x) = (-1(2|(-1|((3(2|x - 3|) - 2)/(-2(2|x - 3|) + 3)) - 2| + 2) - 2| - 2) - 3)/(-2(2|(-1|((3(2|x - 3|) - 2)/(-2(2|x - 3|) + 3)) - 2| + 2) - 2| - 2) + 3) between the vertical lines x = 3.7 and x = 4.0. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 3(1|(2|((-2(1(1|x| - 3) + 2) + 1)/(1(1(1|x| - 3) + 2) - 2)) + 1| - 1) - 1| - 2)^2 - 1(1|(2|((-2(1(1|x| - 3) + 2) + 1)/(1(1(1|x| - 3) + 2) - 2)) + 1| - 1) - 1| - 2) - 3 and g(x) = 1(-1(2(1(-1|x - 1| - 3) - 5) + 2) - 5)^2 + 2 from x = 2.6 to x = 3.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3cos(1π((2(5(4((-3(4x + 3) - 1)/(2(4x + 3) + 2))^2 + 5((-3(4x + 3) - 1)/(2(4x + 3) + 2)))^2 - 5(4((-3(4x + 3) - 1)/(2(4x + 3) + 2))^2 + 5((-3(4x + 3) - 1)/(2(4x + 3) + 2))) - 2) + 3)/(3(5(4((-3(4x + 3) - 1)/(2(4x + 3) + 2))^2 + 5((-3(4x + 3) - 1)/(2(4x + 3) + 2)))^2 - 5(4((-3(4x + 3) - 1)/(2(4x + 3) + 2))^2 + 5((-3(4x + 3) - 1)/(2(4x + 3) + 2))) - 2) - 2))) - 1, g(x) = -3cos(3π(3|((-3(-5((-3x - 1)/(-1x - 2))^2 - 2((-3x - 1)/(-1x - 2)) + 1) + 1)/(1(-5((-3x - 1)/(-1x - 2))^2 - 2((-3x - 1)/(-1x - 2)) + 1) + 2)) + 1| - 3) - 1) + 2, x = -0.6, and x = -0.5. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1((1(-5(2((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2))^2 - 3((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2)) - 5) - 3) - 2)/(1(-5(2((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2))^2 - 3((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2)) - 5) - 3))) - 2)/(2((1(-5(2((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2))^2 - 3((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2)) - 5) - 3) - 2)/(1(-5(2((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2))^2 - 3((-3(-1e^(-1x) + 2) + 1)/(-2(-1e^(-1x) + 2) - 2)) - 5) - 3))) + 3) and g(x) = (1(-3sin(2π(-3(1|(-1x - 1) - 2| - 2)^2 + 3(1|(-1x - 1) - 2| - 2) - 4) - 1) + 1) + 2)/(-2(-3sin(2π(-3(1|(-1x - 1) - 2| - 2)^2 + 3(1|(-1x - 1) - 2| - 2) - 4) - 1) + 1) + 3) between the vertical lines x = -1.7 and x = -0.8. Round to 1 decimal place.

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


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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(1(-4(-2(-1((3x - 2)/(-3x)) - 3)^2 + 4)^2 - 1(-2(-1((3x - 2)/(-3x)) - 3)^2 + 4) - 3) - 4) + 1| - 3 and g(x) = 3|(1(-5(1(1x^2 - 4x - 1) - 2)^2 + 2(1(1x^2 - 4x - 1) - 2) + 4)^2 - 2(-5(1(1x^2 - 4x - 1) - 2)^2 + 2(1(1x^2 - 4x - 1) - 2) + 4) + 5)| - 2 between the vertical lines x = -0.9 and x = -0.4. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2|(3sin(3π(-2|((-2((-3(-2|x + 2| - 3) - 1)/(2(-2|x + 2| - 3) + 1)) + 1)/(-1((-3(-2|x + 2| - 3) - 1)/(2(-2|x + 2| - 3) + 1)) - 1)) + 2| - 1) - 1) + 2)| + 1, g(x) = 1(-3|(5(-2(-5x^2 - 4x + 2)^2 + 5(-5x^2 - 4x + 2) - 3) + 5) - 2| + 1), x = 0.0, and x = 0.2. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -3((1(1(-5(2sin(1π(-1x^2 - 3x - 2) + 1) - 1) + 2)^2 - 4(-5(2sin(1π(-1x^2 - 3x - 2) + 1) - 1) + 2) - 5))/(-3(1(-5(2sin(1π(-1x^2 - 3x - 2) + 1) - 1) + 2)^2 - 4(-5(2sin(1π(-1x^2 - 3x - 2) + 1) - 1) + 2) - 5) + 1)) + 1, g(x) = (2(3((-2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) - 1)/(2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) + 3))^2 - 2((-2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) - 1)/(2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) + 3)) + 3) + 1)/(2(3((-2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) - 1)/(2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) + 3))^2 - 2((-2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) - 1)/(2(2(-3|x + 3| - 3)^2 - 4(-3|x + 3| - 3) - 3) + 3)) + 3) - 1), x = 4.8, and x = 4.8999999999999995. 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(1(-5(-4(-3x^2 - 4x + 4))^2 + 2)^2 - 1(-5(-4(-3x^2 - 4x + 4))^2 + 2) - 1) + 5))/(-3(4(1(-5(-4(-3x^2 - 4x + 4))^2 + 2)^2 - 1(-5(-4(-3x^2 - 4x + 4))^2 + 2) - 1) + 5) + 2), g(x) = (1(4(1(3|(1sin(2πx + 1) + 2)|) - 1) + 2))/(-1(4(1(3|(1sin(2πx + 1) + 2)|) - 1) + 2) - 3), x = 0.6, and x = 0.7. Round your answer to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-2cos(1π(-4(-3((1(-1x^2 + 4x + 4) - 1)/(2(-1x^2 + 4x + 4) - 1))^2 + 4((1(-1x^2 + 4x + 4) - 1)/(2(-1x^2 + 4x + 4) - 1)))^2 + 2(-3((1(-1x^2 + 4x + 4) - 1)/(2(-1x^2 + 4x + 4) - 1))^2 + 4((1(-1x^2 + 4x + 4) - 1)/(2(-1x^2 + 4x + 4) - 1))) - 4) - 2)) + 2| - 2 and g(x) = (2(1(-3(-3(3|x + 1| - 2)^2 - 4(3|x + 1| - 2) + 1)^2 + 1(-3(3|x + 1| - 2)^2 - 4(3|x + 1| - 2) + 1) + 5) + 4))/(3(1(-3(-3(3|x + 1| - 2)^2 - 4(3|x + 1| - 2) + 1)^2 + 1(-3(3|x + 1| - 2)^2 - 4(3|x + 1| - 2) + 1) + 5) + 4) - 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(-1(-3(-4(1((-3x + 1)/(-2x + 3))^2 - 3((-3x + 1)/(-2x + 3)) - 3) - 2) - 5)^2 - 4(-3(-4(1((-3x + 1)/(-2x + 3))^2 - 3((-3x + 1)/(-2x + 3)) - 3) - 2) - 5) - 5) - 3 and g(x) = (3(2|((2(1|(2x + 3) - 3| + 3) + 3)/(-3(1|(2x + 3) - 3| + 3) - 3)) + 2| + 3))/(1(2|((2(1|(2x + 3) - 3| + 3) + 3)/(-3(1|(2x + 3) - 3| + 3) - 3)) + 2| + 3) + 1) between the vertical lines x = 2.3 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) = 1(3(-2|(1|(4(5x + 4) - 1) + 3| + 1) - 3| + 1)^2 - 1(-2|(1|(4(5x + 4) - 1) + 3| + 1) - 3| + 1) - 4)^2 + 2(3(-2|(1|(4(5x + 4) - 1) + 3| + 1) - 3| + 1)^2 - 1(-2|(1|(4(5x + 4) - 1) + 3| + 1) - 3| + 1) - 4) - 2 and g(x) = (-1(-5(-1(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1)^2 + 4(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1) + 3)^2 - 1(-1(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1)^2 + 4(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1) + 3) - 1) - 3)/(3(-5(-1(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1)^2 + 4(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1) + 3)^2 - 1(-1(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1)^2 + 4(3(2|x - 1| + 1)^2 - 4(2|x - 1| + 1) + 1) + 3) - 1) + 1) between the vertical lines x = -1.0 and x = -0.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1e^(1(-2(2|(-2(-4((2x + 3)/(-3x - 3)) + 5)^2 + 1(-4((2x + 3)/(-3x - 3)) + 5)) + 3| - 3) - 1)) - 2, g(x) = (2((-1(3|((-3(2cos(2πx - 2) - 1))/(-2(2cos(2πx - 2) - 1) + 3)) + 2| - 3) - 1)/(1(3|((-3(2cos(2πx - 2) - 1))/(-2(2cos(2πx - 2) - 1) + 3)) + 2| - 3) + 1)) - 2)/(-1((-1(3|((-3(2cos(2πx - 2) - 1))/(-2(2cos(2πx - 2) - 1) + 3)) + 2| - 3) - 1)/(1(3|((-3(2cos(2πx - 2) - 1))/(-2(2cos(2πx - 2) - 1) + 3)) + 2| - 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) = (-2(1(-4(-4(3(-1x + 2) - 5)^2 + 3(3(-1x + 2) - 5) + 4))^2 + 5(-4(-4(3(-1x + 2) - 5)^2 + 3(3(-1x + 2) - 5) + 4)) + 2) - 1)/(-1(1(-4(-4(3(-1x + 2) - 5)^2 + 3(3(-1x + 2) - 5) + 4))^2 + 5(-4(-4(3(-1x + 2) - 5)^2 + 3(3(-1x + 2) - 5) + 4)) + 2) + 3) and g(x) = 4(-1|(-2|((1(2x^2 + 1x - 3) + 3)/(-2(2x^2 + 1x - 3) - 1)) + 2| + 3) - 1| + 1) - 1 between the vertical lines x = 0.6 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) = 2|(-2(4(1(1|((2x - 3)/(-3x - 3)) - 1| + 1) - 2)^2 - 5(1(1|((2x - 3)/(-3x - 3)) - 1| + 1) - 2) + 3) + 5) + 1| - 2 and g(x) = 3e^(2(-1|(1|((-1(-1x^2 - 3x + 5))/(-1(-1x^2 - 3x + 5) + 2)) - 3| + 1) - 1| + 3)) + 2 between the vertical lines x = -0.7 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((2((2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)/(-2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)) - 1)/(1((2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)/(-2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)) + 2)))/(1((2((2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)/(-2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)) - 1)/(1((2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)/(-2(3(-2|(2|x| - 2) + 1| + 2)^2 + 2(-2|(2|x| - 2) + 1| + 2) - 2) - 2)) + 2)) - 2) and g(x) = 1(-1cos(1π((-2(3|((2x - 1)/(1x)) - 3| + 3) - 1)/(2(3|((2x - 1)/(1x)) - 3| + 3) - 1)) + 2) - 1) + 1 between the vertical lines x = -0.7 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) = (1(-1(2(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3)^2 - 1(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3))^2 - 2(2(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3)^2 - 1(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3))) + 2)/(-1(-1(2(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3)^2 - 1(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3))^2 - 2(2(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3)^2 - 1(-1(1|(1|x + 2| - 2) - 1| + 3)^2 + 4(1|(1|x + 2| - 2) - 1| + 3) + 3))) + 3) and g(x) = -2|((3((1((-2(-5x + 5) + 3)/(-3(-5x + 5) + 4)) + 3)/(2((-2(-5x + 5) + 3)/(-3(-5x + 5) + 4)) + 3)) - 3)/(-2((1((-2(-5x + 5) + 3)/(-3(-5x + 5) + 4)) + 3)/(2((-2(-5x + 5) + 3)/(-3(-5x + 5) + 4)) + 3)) - 1)) - 1| + 1 between the vertical lines x = 2.4 and x = 2.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2|((-2(-4(4((-3((3x - 1)/(-3x - 3)) + 2)/(2((3x - 1)/(-3x - 3)))) - 1)^2 + 4(4((-3((3x - 1)/(-3x - 3)) + 2)/(2((3x - 1)/(-3x - 3)))) - 1) - 2) - 1)/(-1(-4(4((-3((3x - 1)/(-3x - 3)) + 2)/(2((3x - 1)/(-3x - 3)))) - 1)^2 + 4(4((-3((3x - 1)/(-3x - 3)) + 2)/(2((3x - 1)/(-3x - 3)))) - 1) - 2) + 3)) - 3| + 1 and g(x) = -3(3((-3(-1(-3sin(3πx - 2) - 2)^2 + 3(-3sin(3πx - 2) - 2) + 2) + 1)/(2(-1(-3sin(3πx - 2) - 2)^2 + 3(-3sin(3πx - 2) - 2) + 2) + 2)) + 2)^2 + 1(3((-3(-1(-3sin(3πx - 2) - 2)^2 + 3(-3sin(3πx - 2) - 2) + 2) + 1)/(2(-1(-3sin(3πx - 2) - 2)^2 + 3(-3sin(3πx - 2) - 2) + 2) + 2)) + 2) - 1 from x = 4.1 to x = 4.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(1(-5(3(-1(2sin(1πx - 3) + 1) + 1) + 4) - 5)^2 + 2(-5(3(-1(2sin(1πx - 3) + 1) + 1) + 4) - 5) + 4) - 3)/(-3(1(-5(3(-1(2sin(1πx - 3) + 1) + 1) + 4) - 5)^2 + 2(-5(3(-1(2sin(1πx - 3) + 1) + 1) + 4) - 5) + 4) - 3), g(x) = -3(5(3|((-2(-5x + 2) + 1)/(-2(-5x + 2) - 2)) - 3| - 3)^2 + 2(3|((-2(-5x + 2) + 1)/(-2(-5x + 2) - 2)) - 3| - 3) - 3) - 4, x = 0.7, and x = 0.7999999999999999. 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|(4((1(-2|x - 1| - 3) - 3)/(1(-2|x - 1| - 3) + 1))^2 - 3((1(-2|x - 1| - 3) - 3)/(1(-2|x - 1| - 3) + 1)) - 4) + 3| - 3)| + 1) - 3, g(x) = -1(1|((-2(-5(1cos(2πx - 1)) + 3) - 3)/(-2(-5(1cos(2πx - 1)) + 3) + 1))| - 1) + 1, x = -2.1, and x = -2.0. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1e^(1(-4(1((-3((2(5x^2 + 2x - 2) + 2)/(2(5x^2 + 2x - 2) + 1)))/(-3((2(5x^2 + 2x - 2) + 2)/(2(5x^2 + 2x - 2) + 1)) + 1)) + 3)^2 + 3(1((-3((2(5x^2 + 2x - 2) + 2)/(2(5x^2 + 2x - 2) + 1)))/(-3((2(5x^2 + 2x - 2) + 2)/(2(5x^2 + 2x - 2) + 1)) + 1)) + 3) + 1)) - 2 and g(x) = 1sin(3π((-3(-2|(2|((-2x)/(-3x - 3)) - 3| - 2) + 3| + 1) - 1)/(-3(-2|(2|((-2x)/(-3x - 3)) - 3| - 2) + 3| + 1) + 2)) + 2) - 1 from x = -0.7 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(3((-1(3e^(-1(1|x| + 1)) - 2) - 3)/(1(3e^(-1(1|x| + 1)) - 2)))^2 - 4((-1(3e^(-1(1|x| + 1)) - 2) - 3)/(1(3e^(-1(1|x| + 1)) - 2))) + 2))^2 + 2(-1(3((-1(3e^(-1(1|x| + 1)) - 2) - 3)/(1(3e^(-1(1|x| + 1)) - 2)))^2 - 4((-1(3e^(-1(1|x| + 1)) - 2) - 3)/(1(3e^(-1(1|x| + 1)) - 2))) + 2)) - 2 and g(x) = (1(3((-3((-1((-2x - 1)/(-2x - 3)) - 3)/(-2((-2x - 1)/(-2x - 3)) + 1)) + 3)/(1((-1((-2x - 1)/(-2x - 3)) - 3)/(-2((-2x - 1)/(-2x - 3)) + 1)) - 2))^2 - 4) - 3)/(2(3((-3((-1((-2x - 1)/(-2x - 3)) - 3)/(-2((-2x - 1)/(-2x - 3)) + 1)) + 3)/(1((-1((-2x - 1)/(-2x - 3)) - 3)/(-2((-2x - 1)/(-2x - 3)) + 1)) - 2))^2 - 4)) between the vertical lines x = -2.1 and x = -1.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-3(-5(-1e^(1(-2|(-5(-4x - 5)^2 + 2(-4x - 5) + 4) + 2| - 3))) - 5) - 2)/(1(-5(-1e^(1(-2|(-5(-4x - 5)^2 + 2(-4x - 5) + 4) + 2| - 3))) - 5) - 2) and g(x) = -1cos(3π(-5(-4((2(-2|x + 2| + 1) + 2)/(-2(-2|x + 2| + 1) - 1)) - 3) + 5) + 2) - 1 from x = -4.4 to x = -4.3. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-3|((1(2|((-3(-1x^2 - 2x - 1) - 1)/(2(-1x^2 - 2x - 1))) - 3|) - 2)/(-3(2|((-3(-1x^2 - 2x - 1) - 1)/(2(-1x^2 - 2x - 1))) - 3|) - 2)) + 1| + 3) + 1 and g(x) = (-3(-1|(2|(-5(-1x^2 + 4x - 3)^2 + 1(-1x^2 + 4x - 3) + 5) + 1| + 3) - 2| + 3) + 3)/(-3(-1|(2|(-5(-1x^2 + 4x - 3)^2 + 1(-1x^2 + 4x - 3) + 5) + 1| + 3) - 2| + 3) - 3) between the vertical lines x = 0.6 and x = 3.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-1(2|(-1(5(2x^2 - 2x - 5)^2 + 1(2x^2 - 2x - 5) - 2)^2 - 2(5(2x^2 - 2x - 5)^2 + 1(2x^2 - 2x - 5) - 2)) - 1| + 3) + 3)^2 - 3(-1(2|(-1(5(2x^2 - 2x - 5)^2 + 1(2x^2 - 2x - 5) - 2)^2 - 2(5(2x^2 - 2x - 5)^2 + 1(2x^2 - 2x - 5) - 2)) - 1| + 3) + 3) - 4 and g(x) = (-2(-5((3(-5(2|x + 1| + 3)) - 3)/(3(-5(2|x + 1| + 3)) - 2))^2 - 3((3(-5(2|x + 1| + 3)) - 3)/(3(-5(2|x + 1| + 3)) - 2)) - 4) + 3)/(-1(-5((3(-5(2|x + 1| + 3)) - 3)/(3(-5(2|x + 1| + 3)) - 2))^2 - 3((3(-5(2|x + 1| + 3)) - 3)/(3(-5(2|x + 1| + 3)) - 2)) - 4) - 1) between the vertical lines x = -1.2 and x = -1.1. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = (3(-5(-3((3((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) - 1)/(2((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) + 2))^2 - 4((3((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) - 1)/(2((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) + 2))) - 4))/(-1(-5(-3((3((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) - 1)/(2((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) + 2))^2 - 4((3((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) - 1)/(2((2(-4x^2 + 1x + 4) - 3)/(-2(-4x^2 + 1x + 4) + 1)) + 2))) - 4) + 3), g(x) = 1cos(3π(-1(3(-5(-2x^2 - 2x) + 5)^2 - 1(-5(-2x^2 - 2x) + 5) - 3)^2 - 2(3(-5(-2x^2 - 2x) + 5)^2 - 1(-5(-2x^2 - 2x) + 5) - 3) - 4) + 3) - 2, x = -0.6, and x = -0.5. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2e^(-1((-1(-3(-2|(2(-1x^2 + 3x) + 5)| - 3)^2 + 4(-2|(2(-1x^2 + 3x) + 5)| - 3) - 3) - 1)/(3(-3(-2|(2(-1x^2 + 3x) + 5)| - 3)^2 + 4(-2|(2(-1x^2 + 3x) + 5)| - 3) - 3) + 3))) and g(x) = (-1(2(2e^(-1(2((2x - 1)/(-2x - 3))^2 + 5((2x - 1)/(-2x - 3)) + 1)) - 2)^2 - 4(2e^(-1(2((2x - 1)/(-2x - 3))^2 + 5((2x - 1)/(-2x - 3)) + 1)) - 2) - 2) - 2)/(2(2(2e^(-1(2((2x - 1)/(-2x - 3))^2 + 5((2x - 1)/(-2x - 3)) + 1)) - 2)^2 - 4(2e^(-1(2((2x - 1)/(-2x - 3))^2 + 5((2x - 1)/(-2x - 3)) + 1)) - 2) - 2) + 1) from x = -3.0 to x = 1.0. Round to 1 decimal place.

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

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