[User]
Calculate the area enclosed between the functions f(x) = (-1(1(2|(2|((1(1|x + 1| + 2) - 1)/(-1(1|x + 1| + 2) - 1)) + 1| + 2) - 2|) + 5) - 2)/(3(1(2|(2|((1(1|x + 1| + 2) - 1)/(-1(1|x + 1| + 2) - 1)) + 1| + 2) - 2|) + 5) - 1) and g(x) = 3(2(-1|((-2(-5x^2 + 4x) + 3)/(-3(-5x^2 + 4x) + 2))| + 2) - 3) + 5 from x = -0.0 to x = 0.8. Round to 1 decimal place.

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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1|((2((2(-3((-1(1|x + 3| - 3) - 3)/(2(1|x + 3| - 3) + 2)) + 4) - 1)/(-2(-3((-1(1|x + 3| - 3) - 3)/(2(1|x + 3| - 3) + 2)) + 4) + 3)) - 1)/(-3((2(-3((-1(1|x + 3| - 3) - 3)/(2(1|x + 3| - 3) + 2)) + 4) - 1)/(-2(-3((-1(1|x + 3| - 3) - 3)/(2(1|x + 3| - 3) + 2)) + 4) + 3)) + 2))| - 2, g(x) = -1(-3e^(-1(3|(2|((-1x - 3)/(-1x - 3)) + 3|) + 3| + 1)) + 1) - 2, x = -1.7, and x = -1.6. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4((-3(-2|(-5((-1((1x - 3)/(-1x + 2)) + 3)/(-1((1x - 3)/(-1x + 2)) - 1))^2 - 4((-1((1x - 3)/(-1x + 2)) + 3)/(-1((1x - 3)/(-1x + 2)) - 1)) + 4) + 1| - 2) + 2)/(-3(-2|(-5((-1((1x - 3)/(-1x + 2)) + 3)/(-1((1x - 3)/(-1x + 2)) - 1))^2 - 4((-1((1x - 3)/(-1x + 2)) + 3)/(-1((1x - 3)/(-1x + 2)) - 1)) + 4) + 1| - 2) - 3))^2 + 3 and g(x) = -2((2(-4((-3(-4x^2 - 2x + 2) + 2)/(-3(-4x^2 - 2x + 2) + 2)) + 5))/(-1(-4((-3(-4x^2 - 2x + 2) + 2)/(-3(-4x^2 - 2x + 2) + 2)) + 5) + 2))^2 - 4((2(-4((-3(-4x^2 - 2x + 2) + 2)/(-3(-4x^2 - 2x + 2) + 2)) + 5))/(-1(-4((-3(-4x^2 - 2x + 2) + 2)/(-3(-4x^2 - 2x + 2) + 2)) + 5) + 2)) + 2 from x = 2.1 to x = 2.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 4(-3|(2cos(1π((-1(-5((-3x - 3)/(3x + 1))^2 - 5((-3x - 3)/(3x + 1)) - 1) - 3)/(-3(-5((-3x - 3)/(3x + 1))^2 - 5((-3x - 3)/(3x + 1)) - 1) - 1)) - 3) + 2) - 1| - 1) + 5 and g(x) = (3((3(2|(3|(4x^2 - 2x - 1) - 3|)| - 3) - 1)/(-1(2|(3|(4x^2 - 2x - 1) - 3|)| - 3) + 2)) - 1)/(-1((3(2|(3|(4x^2 - 2x - 1) - 3|)| - 3) - 1)/(-1(2|(3|(4x^2 - 2x - 1) - 3|)| - 3) + 2)) - 1) from x = -4.1 to x = -3.9999999999999996. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1|(3|(4(-5(-3sin(1π(3x^2 + 5x + 4) + 2) + 3)) + 4) + 1| + 3) - 2| and g(x) = 1|((-3(1|((-1(5x - 3) + 3)/(-1(5x - 3) - 3)) + 2|) + 2)/(-3(1|((-1(5x - 3) + 3)/(-1(5x - 3) - 3)) + 2|) + 4)) - 1| - 3 from x = -2.6 to x = -2.5. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2(-1|(1(-3|(1(-5x + 5)^2 - 2(-5x + 5) + 2) + 2| - 1)^2 + 4(-3|(1(-5x + 5)^2 - 2(-5x + 5) + 2) + 2| - 1) - 4) + 3|)^2 + 1(-1|(1(-3|(1(-5x + 5)^2 - 2(-5x + 5) + 2) + 2| - 1)^2 + 4(-3|(1(-5x + 5)^2 - 2(-5x + 5) + 2) + 2| - 1) - 4) + 3|) - 4, g(x) = 1|(-2(-5(1(3|x + 1| + 1)^2 - 2(3|x + 1| + 1) + 1)^2 - 3(1(3|x + 1| + 1)^2 - 2(3|x + 1| + 1) + 1)) + 1)| - 2, x = 0.8, and x = 0.9. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (3(5((3(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) + 3)/(1(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) - 2))^2 - 1((3(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) + 3)/(1(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) - 2)) - 4) - 3)/(-3(5((3(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) + 3)/(1(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) - 2))^2 - 1((3(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) + 3)/(1(2sin(3π((2(1|x + 3| + 1) + 3)/(-2(1|x + 3| + 1) + 3))) - 3) - 2)) - 4) + 2), g(x) = 1(-3|((3(4(1cos(2πx - 2) + 3)^2 - 2(1cos(2πx - 2) + 3) - 5) - 3)/(-1(4(1cos(2πx - 2) + 3)^2 - 2(1cos(2πx - 2) + 3) - 5))) + 2| + 2) - 5, x = 0.6, and x = 1.9. 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) = -1(-3((-2((-2(-1e^(-2((-1x + 1)/(-2x + 1)))) - 1)/(-1(-1e^(-2((-1x + 1)/(-2x + 1)))) - 2)) - 3)/(-1((-2(-1e^(-2((-1x + 1)/(-2x + 1)))) - 1)/(-1(-1e^(-2((-1x + 1)/(-2x + 1)))) - 2)) + 2)) + 3), g(x) = -1(2(2(-3|(-2|x + 1|) + 3| + 3)^2 + 3(-3|(-2|x + 1|) + 3| + 3) + 3) + 5), x = -3.1, and x = -3.0. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-2(3|((-3(3|(1x^2 - 2x + 1) + 3|) - 2)/(-1(3|(1x^2 - 2x + 1) + 3|) + 3)) - 3| - 3) + 2) + 4 and g(x) = -2((1(4(-2|(3x^2 - 4x + 4)|)^2 - 1(-2|(3x^2 - 4x + 4)|) - 2) - 2)/(1(4(-2|(3x^2 - 4x + 4)|)^2 - 1(-2|(3x^2 - 4x + 4)|) - 2) + 2)) - 4 between the vertical lines x = -1.3 and x = 3.3. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((1((-1(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5) - 2)/(2(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5))) - 3)/(-2((-1(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5) - 2)/(2(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5))) - 3))^2 - 4((1((-1(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5) - 2)/(2(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5))) - 3)/(-2((-1(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5) - 2)/(2(4((-2(1x + 2) + 1)/(-2(1x + 2) + 1)) - 5))) - 3)) - 2 and g(x) = -1((-1(5(-2cos(1π(-2x + 4) + 3) + 1)^2 + 4(-2cos(1π(-2x + 4) + 3) + 1) + 3) - 2)/(-1(5(-2cos(1π(-2x + 4) + 3) + 1)^2 + 4(-2cos(1π(-2x + 4) + 3) + 1) + 3) + 2)) + 1 between the vertical lines x = 3.3 and x = 3.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1((-3(1((1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) + 3)/(-1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) - 1))^2 - 2((1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) + 3)/(-1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) - 1)) - 5) - 3)/(1(1((1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) + 3)/(-1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) - 1))^2 - 2((1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) + 3)/(-1((2((-3x - 3)/(1x - 3)) - 1)/(3((-3x - 3)/(1x - 3)) + 2)) - 1)) - 5) + 3)) - 3 and g(x) = -2|(2(-2(1((-2x + 3)/(2x - 1)) + 5) - 5) - 2) + 3| from x = -1.5 to x = 0.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(-4(-4(1(1|(-5x + 5) - 2| + 2) - 4) + 2)^2 - 2(-4(1(1|(-5x + 5) - 2| + 2) - 4) + 2) + 5) - 3)/(2(-4(-4(1(1|(-5x + 5) - 2| + 2) - 4) + 2)^2 - 2(-4(1(1|(-5x + 5) - 2| + 2) - 4) + 2) + 5) - 1) and g(x) = 1(-1|(4((1(-2|x + 2|) - 2)/(-1(-2|x + 2|) + 3)) + 5) - 3| + 2) from x = 0.0 to x = 0.2. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -3|(-1(5(2((3(1x^2 + 5x + 1) + 2)/(-2(1x^2 + 5x + 1) - 3)) + 2)^2 - 3(2((3(1x^2 + 5x + 1) + 2)/(-2(1x^2 + 5x + 1) - 3)) + 2) + 4) - 3)| + 3 and g(x) = 5(2(-1(5(3x^2 - 3x - 1) - 5)^2 + 4(5(3x^2 - 3x - 1) - 5) + 5) + 2) + 4 from x = 1.4 to x = 1.6. Round to 1 decimal place.

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

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


[User]
Find the area of the region bounded by the curves f(x) = 2|(3((-2(-2e^(-1((-2(-4x - 5) - 1)/(1(-4x - 5) + 2))) + 2) - 2)/(3(-2e^(-1((-2(-4x - 5) - 1)/(1(-4x - 5) + 2))) + 2)))^2 - 5((-2(-2e^(-1((-2(-4x - 5) - 1)/(1(-4x - 5) + 2))) + 2) - 2)/(3(-2e^(-1((-2(-4x - 5) - 1)/(1(-4x - 5) + 2))) + 2))) + 3) + 1| + 1, g(x) = 3|(3(2(-3(-3x^2 - 4x - 2)^2 + 1(-3x^2 - 4x - 2) + 2)^2 + 1(-3(-3x^2 - 4x - 2)^2 + 1(-3x^2 - 4x - 2) + 2) - 2) - 2) + 3| + 2, x = -1.0, and x = -0.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2cos(3π(2((-1(-3|(-2(1x^2 + 1x)^2 - 2(1x^2 + 1x) + 4) + 2| + 3) + 2)/(1(-3|(-2(1x^2 + 1x)^2 - 2(1x^2 + 1x) + 4) + 2| + 3)))^2 - 1((-1(-3|(-2(1x^2 + 1x)^2 - 2(1x^2 + 1x) + 4) + 2| + 3) + 2)/(1(-3|(-2(1x^2 + 1x)^2 - 2(1x^2 + 1x) + 4) + 2| + 3))) - 2) - 3) + 1 and g(x) = -1(1(-3(-1(-5x + 3)^2 - 4(-5x + 3) + 1) + 5) + 2)^2 - 4(1(-3(-1(-5x + 3)^2 - 4(-5x + 3) + 1) + 5) + 2) - 1 between the vertical lines x = 0.8 and x = 1.3. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -2(-4((-1((-2(1|(1x^2 - 5x + 4) + 2| + 1) - 3)/(-2(1|(1x^2 - 5x + 4) + 2| + 1) + 1)) + 2)/(-1((-2(1|(1x^2 - 5x + 4) + 2| + 1) - 3)/(-2(1|(1x^2 - 5x + 4) + 2| + 1) + 1)) + 3)) - 1) + 3 and g(x) = 3|(3|(1cos(3π(2|(-2|x - 2| + 3) - 1| + 3) - 3) + 1) + 3| + 3) - 1| + 3 from x = 1.7 to x = 3.3. Round to 1 decimal place.

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

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


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

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

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

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

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[User]
Find the area of the region bounded by the curves f(x) = -5(-3e^(-1(-2(-4(-4(-3|x - 2| - 3) + 1)^2 + 5(-4(-3|x - 2| - 3) + 1) + 3) - 3)) + 1)^2 - 5(-3e^(-1(-2(-4(-4(-3|x - 2| - 3) + 1)^2 + 5(-4(-3|x - 2| - 3) + 1) + 3) - 3)) + 1) + 2, g(x) = -3|(3|(-1(1(-2x^2 - 5x + 3) - 5)^2 - 3(1(-2x^2 - 5x + 3) - 5) + 3) - 2| - 2)|, x = -2.6, and x = -2.1. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(3sin(2π(4(2(1(1x + 2) - 1)^2 - 2) + 1) + 3) + 2) + 1 and g(x) = 2(-1(-3e^(-1(5(2x - 3) - 2)) + 3) - 4)^2 - 3(-1(-3e^(-1(5(2x - 3) - 2)) + 3) - 4) + 1 between the vertical lines x = 1.6 and x = 1.7000000000000002. Round to 1 decimal place.

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

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

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[User]
Find the area of the region bounded by the curves f(x) = -2cos(2π(-1|(2|(1(-2|(-1|x - 3| + 1)| - 2)^2 + 3(-2|(-1|x - 3| + 1)| - 2) - 5) - 1|) + 1|) + 2) - 1, g(x) = -2|((1(4(1e^(-1(-3|x - 3| + 1)) - 3)^2 + 1(1e^(-1(-3|x - 3| + 1)) - 3) - 1) - 2)/(1(4(1e^(-1(-3|x - 3| + 1)) - 3)^2 + 1(1e^(-1(-3|x - 3| + 1)) - 3) - 1) + 2)) + 2|, x = 3.6, and x = 3.7. 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(1(4x^2 - 4) + 5) + 3) - 1| - 3) + 1| - 1)^2 + 3(1|(2|(-3(1(4x^2 - 4) + 5) + 3) - 1| - 3) + 1| - 1) - 3 and g(x) = -5((2(5(-1(-2x^2 - 4x - 3) - 3) + 3))/(-2(5(-1(-2x^2 - 4x - 3) - 3) + 3) - 1))^2 - 1((2(5(-1(-2x^2 - 4x - 3) - 3) + 3))/(-2(5(-1(-2x^2 - 4x - 3) - 3) + 3) - 1)) - 4 from x = 0.0 to x = 0.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2(-4(1|(3|(-1(3|x - 3| - 2) + 1) - 1|) - 3| - 1)^2 + 1(1|(3|(-1(3|x - 3| - 2) + 1) - 1|) - 3| - 1) + 4) - 3)/(1(-4(1|(3|(-1(3|x - 3| - 2) + 1) - 1|) - 3| - 1)^2 + 1(1|(3|(-1(3|x - 3| - 2) + 1) - 1|) - 3| - 1) + 4) - 3) and g(x) = 1(-1((-2(-1|(2|x - 1| - 1) + 1| + 2) + 2)/(2(-1|(2|x - 1| - 1) + 1| + 2) + 3))^2 + 5((-2(-1|(2|x - 1| - 1) + 1| + 2) + 2)/(2(-1|(2|x - 1| - 1) + 1| + 2) + 3)) - 5) - 1 from x = 4.1 to x = 4.2. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|(2(1(-3|(3(1cos(2πx - 3) - 2)^2 + 5(1cos(2πx - 3) - 2) - 2) + 2|) - 5) + 3) + 2| - 2 and g(x) = -4(3((-2(-1((2x + 3)/(3x - 2))) - 1)/(3(-1((2x + 3)/(3x - 2))) + 3)) + 3) + 1 between the vertical lines x = 3.3 and x = 3.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(-3|(3cos(3π(-4(-3|(1x + 1) - 3| - 1)^2 - 4(-3|(1x + 1) - 3| - 1) + 5) + 2) - 3) - 2| - 3) + 5 and g(x) = 2|((-1(3(5((3x + 1)/(1x + 3))^2 - 2((3x + 1)/(1x + 3))) - 1) + 1)/(2(3(5((3x + 1)/(1x + 3))^2 - 2((3x + 1)/(1x + 3))) - 1) - 3)) + 3| - 2 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) = 4(-1(-3sin(3π(-5(-2(5x^2 + 3x) + 4) + 4)) - 1) + 2) - 1 and g(x) = 2e^(-1((1(-4((-3(-3x^2 + 4x + 5) + 3)/(1(-3x^2 + 4x + 5) + 3)) + 4) + 3)/(1(-4((-3(-3x^2 + 4x + 5) + 3)/(1(-3x^2 + 4x + 5) + 3)) + 4) + 1))) - 2 between the vertical lines x = 2.2 and x = 2.3000000000000003. 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(4(-4(1e^(1x) + 1) - 5) - 3)^2 - 2(4(-4(1e^(1x) + 1) - 5) - 3)) + 3)/(1(-2(4(-4(1e^(1x) + 1) - 5) - 3)^2 - 2(4(-4(1e^(1x) + 1) - 5) - 3)) + 1))| + 3 and g(x) = 1|((-3(5(-3e^(1(5x^2 + 3x + 4)) - 3) + 4) - 1)/(-1(5(-3e^(1(5x^2 + 3x + 4)) - 3) + 4) + 2)) + 2| - 3 between the vertical lines x = -1.0 and x = 0.5. Round to 1 decimal place.

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

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

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

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

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[User]
Find the area of the region bounded by the curves f(x) = -3(-3(-2(-2cos(2π(2|((-1x - 3)/(2x - 1)) - 3| + 2) - 3)) + 1) + 4)^2 - 1(-3(-2(-2cos(2π(2|((-1x - 3)/(2x - 1)) - 3| + 2) - 3)) + 1) + 4), g(x) = -3(-3(-3|(3(-1x - 2) - 3) + 1|)^2 + 4(-3|(3(-1x - 2) - 3) + 1|) - 3)^2 - 3(-3(-3|(3(-1x - 2) - 3) + 1|)^2 + 4(-3|(3(-1x - 2) - 3) + 1|) - 3) - 3, x = -2.8, and x = -2.6. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 4((2(-2(3|((1(-2x + 5) - 3)/(-1(-2x + 5) - 2)) + 1| + 1) - 2) + 1)/(1(-2(3|((1(-2x + 5) - 3)/(-1(-2x + 5) - 2)) + 1| + 1) - 2) + 3))^2 - 4((2(-2(3|((1(-2x + 5) - 3)/(-1(-2x + 5) - 2)) + 1| + 1) - 2) + 1)/(1(-2(3|((1(-2x + 5) - 3)/(-1(-2x + 5) - 2)) + 1| + 1) - 2) + 3)) + 4, g(x) = 5(-2cos(1π(-1|(-1((-1x + 1)/(1x + 1))^2 + 3((-1x + 1)/(1x + 1)) - 3) - 3|) - 2) + 2) - 2, x = 3.6, and x = 4.9. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4(-3((2((2(3|(4x^2 - 1x + 3) + 1|))/(-1(3|(4x^2 - 1x + 3) + 1|))) + 2)/(3((2(3|(4x^2 - 1x + 3) + 1|))/(-1(3|(4x^2 - 1x + 3) + 1|))) - 1)) + 4) - 1 and g(x) = 5(-3(-2|(3e^(1(3x + 5)) + 1) - 2| + 3) + 2) - 5 from x = -2.7 to x = -1.8. 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(-5(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3)^2 - 4(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3) + 2) - 2)/(1(-5(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3)^2 - 4(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3) + 2) + 3)) + 2)/(-3((3(-5(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3)^2 - 4(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3) + 2) - 2)/(1(-5(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3)^2 - 4(5((-2((2x - 2)/(3x)) + 3)/(2((2x - 2)/(3x)))) - 3) + 2) + 3)) + 2) and g(x) = -3(1cos(1π((-1((-3(4x^2 + 1x - 4) + 3)/(-3(4x^2 + 1x - 4) + 1)) - 3)/(2((-3(4x^2 + 1x - 4) + 3)/(-3(4x^2 + 1x - 4) + 1)) - 1)) + 2) + 1) + 5 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) = (-3(4(-1(-1(-1(3|x + 2| + 3)^2 - 2)^2 + 5(-1(3|x + 2| + 3)^2 - 2) + 2) - 2)^2 - 3(-1(-1(-1(3|x + 2| + 3)^2 - 2)^2 + 5(-1(3|x + 2| + 3)^2 - 2) + 2) - 2) + 2) + 1)/(-3(4(-1(-1(-1(3|x + 2| + 3)^2 - 2)^2 + 5(-1(3|x + 2| + 3)^2 - 2) + 2) - 2)^2 - 3(-1(-1(-1(3|x + 2| + 3)^2 - 2)^2 + 5(-1(3|x + 2| + 3)^2 - 2) + 2) - 2) + 2) - 2) and g(x) = 3|(-2cos(1π(-5((-3(-2|x| + 1) + 3)/(-3(-2|x| + 1) - 3))^2 - 2((-3(-2|x| + 1) + 3)/(-3(-2|x| + 1) - 3)) + 5) + 1) - 2) + 2| - 1 from x = -1.6 to x = -1.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(-2|((-2(1((3(-1x^2 - 4x) + 3)/(-3(-1x^2 - 4x) + 4)) - 2) + 1)/(-1(1((3(-1x^2 - 4x) + 3)/(-3(-1x^2 - 4x) + 4)) - 2))) - 2| - 1) + 3)/(3(-2|((-2(1((3(-1x^2 - 4x) + 3)/(-3(-1x^2 - 4x) + 4)) - 2) + 1)/(-1(1((3(-1x^2 - 4x) + 3)/(-3(-1x^2 - 4x) + 4)) - 2))) - 2| - 1) + 3), g(x) = -2|(2|(2(3(1e^(-1x)) - 3)^2 + 5(3(1e^(-1x)) - 3))|) + 3| + 3, x = -0.4, and x = -0.30000000000000004. 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) = 4(3cos(2π(1(2|(3|(5x - 5) + 2| + 1) - 3| - 2)^2 + 5) - 1) - 2) - 2 and g(x) = 4(3((3(1(1|x - 3| - 1)^2 - 5(1|x - 3| - 1) - 2) - 1)/(1(1(1|x - 3| - 1)^2 - 5(1|x - 3| - 1) - 2) + 2))^2 + 4((3(1(1|x - 3| - 1)^2 - 5(1|x - 3| - 1) - 2) - 1)/(1(1(1|x - 3| - 1)^2 - 5(1|x - 3| - 1) - 2) + 2)) - 2) + 2 between the vertical lines x = 2.4 and x = 2.5. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2((3(-1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1))^2 - 1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)) + 2))/(-1(-1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1))^2 - 1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)) + 2) + 2)) + 2)/(-2((3(-1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1))^2 - 1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)) + 2))/(-1(-1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1))^2 - 1((1((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)/(-2((-2(5x - 3) + 2)/(-3(5x - 3) + 4)) - 1)) + 2) + 2)) + 1) and g(x) = (3(2(-1(-1sin(1π(2x - 5) + 1) + 1) + 3)^2 - 4(-1(-1sin(1π(2x - 5) + 1) + 1) + 3)) + 2)/(1(2(-1(-1sin(1π(2x - 5) + 1) + 1) + 3)^2 - 4(-1(-1sin(1π(2x - 5) + 1) + 1) + 3)) - 2) between the vertical lines x = -0.7 and x = -0.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 5(2|(-2|((1(-1(3x^2 - 3x - 3) + 2) + 2)/(2(-1(3x^2 - 3x - 3) + 2) - 1)) + 1|)| - 3) + 2, g(x) = (-1(1cos(3π(1|(4(3x + 5)^2 + 2) + 2| - 1) - 2) - 2) - 2)/(1(1cos(3π(1|(4(3x + 5)^2 + 2) + 2| - 1) - 2) - 2) + 1), x = -4.5, and x = -4.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 3cos(3π(-3|(-1(-4(-1(-1|x + 1| - 2)^2 + 2(-1|x + 1| - 2) - 4)) - 3) - 1| - 3) - 1) - 3 and g(x) = (-3(-4(1|(2|(1x^2 + 2x + 2)| + 2) + 2| + 3) - 2) + 3)/(3(-4(1|(2|(1x^2 + 2x + 2)| + 2) + 2| + 3) - 2)) from x = 4.7 to x = 4.8. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -1(4(3|(4(1cos(2π((-2x - 1)/(-2x + 3)) - 2) + 1) - 3) + 3| - 3) - 3)^2 + 2(4(3|(4(1cos(2π((-2x - 1)/(-2x + 3)) - 2) + 1) - 3) + 3| - 3) - 3) - 1, g(x) = -2|(-2e^(-2(3(1|((1x - 2)/(-3x + 1)) - 2| - 2) + 2)) - 3) + 3| - 2, x = 2.2, and x = 2.3000000000000003. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3e^(-1((1(-1(-5(5((-3x + 3)/(-3x - 1))^2 - 2((-3x + 3)/(-3x - 1)) + 1)^2 + 4(5((-3x + 3)/(-3x - 1))^2 - 2((-3x + 3)/(-3x - 1)) + 1) + 1) - 2) - 1)/(-1(-1(-5(5((-3x + 3)/(-3x - 1))^2 - 2((-3x + 3)/(-3x - 1)) + 1)^2 + 4(5((-3x + 3)/(-3x - 1))^2 - 2((-3x + 3)/(-3x - 1)) + 1) + 1) - 2) + 2))) + 2, g(x) = 2|(-1|((-3(3|(-5x - 5) - 1|) - 3)/(-1(3|(-5x - 5) - 1|) - 2)) + 2| + 3) - 3| - 3, x = 0.9, 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) = (3(-2|(1cos(3π((-3(-3(-1|x + 1|)^2 - 3(-1|x + 1|) + 3) + 2)/(1(-3(-1|x + 1|)^2 - 3(-1|x + 1|) + 3) + 2)) - 3) - 1) - 1| + 2) + 2)/(1(-2|(1cos(3π((-3(-3(-1|x + 1|)^2 - 3(-1|x + 1|) + 3) + 2)/(1(-3(-1|x + 1|)^2 - 3(-1|x + 1|) + 3) + 2)) - 3) - 1) - 1| + 2) + 3), g(x) = -3|(-3(-1cos(2π(1((-2x + 1)/(2x - 3))^2 + 3((-2x + 1)/(2x - 3)) - 2))) - 4) - 2| + 1, x = 1.2, and x = 1.3. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1|(1(-1((-1(3(1x + 4)^2 - 4(1x + 4)) - 1)/(-3(3(1x + 4)^2 - 4(1x + 4)) + 1)) + 4) - 3)| - 1, g(x) = 1|(2|(3e^(2(-3((-1x - 2)/(1x)) - 1))) - 2| - 2) - 1| - 3, x = -4.1, and x = -3.9999999999999996. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1(2|((-2((-3(1(-3cos(2πx - 1) + 1)^2 + 2(-3cos(2πx - 1) + 1) - 4) + 1)/(1(1(-3cos(2πx - 1) + 1)^2 + 2(-3cos(2πx - 1) + 1) - 4) - 3)) + 1)/(-2((-3(1(-3cos(2πx - 1) + 1)^2 + 2(-3cos(2πx - 1) + 1) - 4) + 1)/(1(1(-3cos(2πx - 1) + 1)^2 + 2(-3cos(2πx - 1) + 1) - 4) - 3)) + 3)) - 2| - 2) + 2 and g(x) = (1(-4(2|(-2|(-1x + 2) - 2| - 2) - 2| + 2) + 5) + 3)/(3(-4(2|(-2|(-1x + 2) - 2| - 2) - 2| + 2) + 5) + 1) from x = -3.1 to x = -3.0. Round to 1 decimal place.

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


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

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[User]
Calculate the area enclosed between the functions f(x) = -5(1|((1(3|(4((2x + 3)/(-1x - 1)) + 4) - 1| - 3))/(3(3|(4((2x + 3)/(-1x - 1)) + 4) - 1| - 3)))|)^2 - 3(1|((1(3|(4((2x + 3)/(-1x - 1)) + 4) - 1| - 3))/(3(3|(4((2x + 3)/(-1x - 1)) + 4) - 1| - 3)))|) - 3 and g(x) = -1(5((-3(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) + 2)/(-1(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) - 2))^2 - 1((-3(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) + 2)/(-1(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) - 2)) - 3)^2 + 4(5((-3(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) + 2)/(-1(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) - 2))^2 - 1((-3(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) + 2)/(-1(-2(2cos(1πx + 3) - 1)^2 + 2(2cos(1πx + 3) - 1) + 5) - 2)) - 3) - 4 from x = 4.5 to x = 4.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(3cos(3π(-2|((3((-2(-1x - 1) - 2)/(-2(-1x - 1) - 3)) - 2)/(2((-2(-1x - 1) - 2)/(-2(-1x - 1) - 3)) - 1)) - 2| - 3) + 3) + 1) - 2 and g(x) = -1(2e^(-1(-4(-3|(2x - 2)| - 1) - 5)) + 1)^2 + 3(2e^(-1(-4(-3|(2x - 2)| - 1) - 5)) + 1) between the vertical lines x = -2.4 and x = -1.8. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2(1((2(-4((1(3x^2 + 1x - 3) - 2)/(-3(3x^2 + 1x - 3) + 1)) + 5) + 1)/(2(-4((1(3x^2 + 1x - 3) - 2)/(-3(3x^2 + 1x - 3) + 1)) + 5))) - 1) - 1, g(x) = -2(1((-1(1(-1sin(1πx - 3)) - 5))/(3(1(-1sin(1πx - 3)) - 5) - 2))^2 - 4((-1(1(-1sin(1πx - 3)) - 5))/(3(1(-1sin(1πx - 3)) - 5) - 2)) - 1)^2 + 3(1((-1(1(-1sin(1πx - 3)) - 5))/(3(1(-1sin(1πx - 3)) - 5) - 2))^2 - 4((-1(1(-1sin(1πx - 3)) - 5))/(3(1(-1sin(1πx - 3)) - 5) - 2)) - 1) - 1, x = -1.3, and x = 1.0. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-1|(-2|(2|(-1cos(1π(4x^2 - 1x + 3) + 1) + 1)| + 2) - 1| - 1) - 2| + 2) - 3)/(-1(-1|(-2|(2|(-1cos(1π(4x^2 - 1x + 3) + 1) + 1)| + 2) - 1| - 1) - 2| + 2) + 2) and g(x) = 2|(-5(-1|(-4(-1x - 3)) + 1| + 2)^2 + 4(-1|(-4(-1x - 3)) + 1| + 2) + 1) + 2| - 1 between the vertical lines x = -3.8 and x = -3.4. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 1(-1(1(1(-1(4x - 5)^2 + 4(4x - 5) + 2) - 1)^2 + 3(1(-1(4x - 5)^2 + 4(4x - 5) + 2) - 1) - 1) - 3) - 2 and g(x) = -3|(1|((1(-2|(-1sin(1πx + 1) - 3) - 2| - 1) - 2)/(3(-2|(-1sin(1πx + 1) - 3) - 2| - 1) - 2)) + 2| - 1) + 2| - 3 from x = 1.0 to x = 1.3. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2|(5((1(2((-3(-2|x + 1| + 2) + 3)/(-1(-2|x + 1| + 2) + 2)) - 1) + 3)/(-2(2((-3(-2|x + 1| + 2) + 3)/(-1(-2|x + 1| + 2) + 2)) - 1) - 1))^2 - 4((1(2((-3(-2|x + 1| + 2) + 3)/(-1(-2|x + 1| + 2) + 2)) - 1) + 3)/(-2(2((-3(-2|x + 1| + 2) + 3)/(-1(-2|x + 1| + 2) + 2)) - 1) - 1)) - 3) - 1| - 1, g(x) = 4(1|((1(-2(-2x + 5)) + 3)/(2(-2(-2x + 5)) - 1)) - 1| + 2) + 5, x = -0.5, and x = -0.2. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -2(3|(2(2((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3))^2 - 4((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3)) - 3)^2 + 3(2((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3))^2 - 4((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3)) - 3) + 2) - 1|)^2 - 2(3|(2(2((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3))^2 - 4((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3)) - 3)^2 + 3(2((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3))^2 - 4((-3((-1x - 2)/(-2x - 1)) + 2)/(-2((-1x - 2)/(-2x - 1)) + 3)) - 3) + 2) - 1|) + 3 and g(x) = -2((-1((-2(-5((-2x + 2)/(-2x - 2)) + 3) - 2)/(-3(-5((-2x + 2)/(-2x - 2)) + 3) - 1)) + 1)/(-1((-2(-5((-2x + 2)/(-2x - 2)) + 3) - 2)/(-3(-5((-2x + 2)/(-2x - 2)) + 3) - 1)) + 2))^2 - 4 from x = 4.0 to x = 4.1. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(-2((2((3(-1(5x - 5)^2 + 2(5x - 5) - 1) + 3)/(-1(-1(5x - 5)^2 + 2(5x - 5) - 1) - 2)) - 3)/(1((3(-1(5x - 5)^2 + 2(5x - 5) - 1) + 3)/(-1(-1(5x - 5)^2 + 2(5x - 5) - 1) - 2)))) + 4) - 1| - 3 and g(x) = (-2(-1(1|(-1(-1x - 1)^2 + 1(-1x - 1)) - 1| - 3)) - 1)/(-2(-1(1|(-1(-1x - 1)^2 + 1(-1x - 1)) - 1| - 3)) + 3) from x = -2.5 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) = (-3((-2(1(-5(-2(1x^2 - 5x) - 3)^2 + 4(-2(1x^2 - 5x) - 3) - 2) - 4) + 2)/(2(1(-5(-2(1x^2 - 5x) - 3)^2 + 4(-2(1x^2 - 5x) - 3) - 2) - 4) - 3)) - 1)/(-1((-2(1(-5(-2(1x^2 - 5x) - 3)^2 + 4(-2(1x^2 - 5x) - 3) - 2) - 4) + 2)/(2(1(-5(-2(1x^2 - 5x) - 3)^2 + 4(-2(1x^2 - 5x) - 3) - 2) - 4) - 3)) + 3), g(x) = -1(-2|(5(-1(-3x^2 + 4x + 5) - 4) - 5)|)^2 + 1(-2|(5(-1(-3x^2 + 4x + 5) - 4) - 5)|) + 4, x = 2.6, and x = 2.7. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 3e^(-2((1(1(4(-2(2|x| + 1) - 1)^2 - 4(-2(2|x| + 1) - 1) - 5)^2 + 2(4(-2(2|x| + 1) - 1)^2 - 4(-2(2|x| + 1) - 1) - 5) + 1) + 1)/(-2(1(4(-2(2|x| + 1) - 1)^2 - 4(-2(2|x| + 1) - 1) - 5)^2 + 2(4(-2(2|x| + 1) - 1)^2 - 4(-2(2|x| + 1) - 1) - 5) + 1) - 3))) - 1, g(x) = 3(-3((-3(2|(-3x^2 + 3x - 3) + 2| - 1) + 1)/(1(2|(-3x^2 + 3x - 3) + 2| - 1) + 3))^2 + 4((-3(2|(-3x^2 + 3x - 3) + 2| - 1) + 1)/(1(2|(-3x^2 + 3x - 3) + 2| - 1) + 3))) + 5, x = 0.2, and x = 0.8. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-3(-5(4(-4((-3(-2sin(3πx - 2) - 2) - 2)/(-3(-2sin(3πx - 2) - 2))) - 2)^2 + 5(-4((-3(-2sin(3πx - 2) - 2) - 2)/(-3(-2sin(3πx - 2) - 2))) - 2) - 3) - 2) + 3)/(1(-5(4(-4((-3(-2sin(3πx - 2) - 2) - 2)/(-3(-2sin(3πx - 2) - 2))) - 2)^2 + 5(-4((-3(-2sin(3πx - 2) - 2) - 2)/(-3(-2sin(3πx - 2) - 2))) - 2) - 3) - 2)) and g(x) = -2((3((-2((1(1|x + 2| - 2) + 2)/(-2(1|x + 2| - 2))) + 1)/(-3((1(1|x + 2| - 2) + 2)/(-2(1|x + 2| - 2))) - 3)) - 1)/(1((-2((1(1|x + 2| - 2) + 2)/(-2(1|x + 2| - 2))) + 1)/(-3((1(1|x + 2| - 2) + 2)/(-2(1|x + 2| - 2))) - 3)))) - 5 from x = 2.8 to x = 4.0. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 3((-2(-1|(-4((-3(-5x^2 - 4x - 2) + 2)/(3(-5x^2 - 4x - 2) - 2)) + 2) + 3|) + 2)/(-2(-1|(-4((-3(-5x^2 - 4x - 2) + 2)/(3(-5x^2 - 4x - 2) - 2)) + 2) + 3|) - 1)) - 2 and g(x) = 2(1|((-1(1(-3|x + 1| - 3)^2 + 4(-3|x + 1| - 3) - 1) - 2)/(1(1(-3|x + 1| - 3)^2 + 4(-3|x + 1| - 3) - 1)))| - 3) - 4 from x = -1.4 to x = -1.2999999999999998. Round to 1 decimal place.

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = 4(3((2(-2(-4(-2sin(2πx + 2) - 2))^2 + 5(-4(-2sin(2πx + 2) - 2)) + 3) - 2)/(2(-2(-4(-2sin(2πx + 2) - 2))^2 + 5(-4(-2sin(2πx + 2) - 2)) + 3) - 1))^2 + 5((2(-2(-4(-2sin(2πx + 2) - 2))^2 + 5(-4(-2sin(2πx + 2) - 2)) + 3) - 2)/(2(-2(-4(-2sin(2πx + 2) - 2))^2 + 5(-4(-2sin(2πx + 2) - 2)) + 3) - 1)) + 4) and g(x) = 1(2sin(2π(-1((3((1x - 3)/(-1x - 3)) - 3)/(3((1x - 3)/(-1x - 3)) - 2)) - 4) - 3) - 2)^2 - 1(2sin(2π(-1((3((1x - 3)/(-1x - 3)) - 3)/(3((1x - 3)/(-1x - 3)) - 2)) - 4) - 3) - 2) - 3 from x = -1.7 to x = -1.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(3(3|(-1e^(1((-3(-2|x - 1| - 1))/(-2(-2|x - 1| - 1) - 1)))) + 2| + 1)) - 3| and g(x) = -5((3((2((3(3x^2 + 5x - 1) - 2)/(1(3x^2 + 5x - 1) + 2)) + 2)/(-1((3(3x^2 + 5x - 1) - 2)/(1(3x^2 + 5x - 1) + 2)) + 2)) + 3)/(3((2((3(3x^2 + 5x - 1) - 2)/(1(3x^2 + 5x - 1) + 2)) + 2)/(-1((3(3x^2 + 5x - 1) - 2)/(1(3x^2 + 5x - 1) + 2)) + 2)) - 2)) + 4 from x = -2.0 to x = 0.3. Round to 1 decimal place.

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

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

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[User]
Find the area of the region bounded by the curves f(x) = -2(-1((-1(5(2(1x^2 - 4x + 5) - 5)^2 + 5(2(1x^2 - 4x + 5) - 5) + 1) + 1)/(-3(5(2(1x^2 - 4x + 5) - 5)^2 + 5(2(1x^2 - 4x + 5) - 5) + 1) - 1))) - 2, g(x) = -1((-1(1|((-1(1x^2 + 4x - 4))/(2(1x^2 + 4x - 4) - 3)) + 3| - 1) - 2)/(2(1|((-1(1x^2 + 4x - 4))/(2(1x^2 + 4x - 4) - 3)) + 3| - 1) + 1))^2 - 5((-1(1|((-1(1x^2 + 4x - 4))/(2(1x^2 + 4x - 4) - 3)) + 3| - 1) - 2)/(2(1|((-1(1x^2 + 4x - 4))/(2(1x^2 + 4x - 4) - 3)) + 3| - 1) + 1)) + 4, x = 1.1, and x = 1.2. Round your answer to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -5((-3(-1(-1sin(3π(-2|(3|x + 1| - 3) - 2| + 2) + 1))^2 - 3(-1sin(3π(-2|(3|x + 1| - 3) - 2| + 2) + 1)) + 1) + 2)/(-2(-1(-1sin(3π(-2|(3|x + 1| - 3) - 2| + 2) + 1))^2 - 3(-1sin(3π(-2|(3|x + 1| - 3) - 2| + 2) + 1)) + 1) + 3)) + 4 and g(x) = -4((3(1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3))^2 - 1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3)) - 4) - 3)/(1(1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3))^2 - 1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3)) - 4) + 1))^2 - 2((3(1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3))^2 - 1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3)) - 4) - 3)/(1(1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3))^2 - 1((2(-1x - 1) + 2)/(-2(-1x - 1) - 3)) - 4) + 1)) + 1 from x = 0.5 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) = 1(3cos(3π(-5(-3(-1(-2|x| - 2) - 2) + 2)^2 - 3(-3(-1(-2|x| - 2) - 2) + 2) + 3) + 1)) + 1 and g(x) = 4(-4((2((-2((-2x - 3)/(-3x)) - 3)/(-3((-2x - 3)/(-3x)) + 2)) + 2)/(1((-2((-2x - 3)/(-3x)) - 3)/(-3((-2x - 3)/(-3x)) + 2)) + 3)) - 1)^2 - 1(-4((2((-2((-2x - 3)/(-3x)) - 3)/(-3((-2x - 3)/(-3x)) + 2)) + 2)/(1((-2((-2x - 3)/(-3x)) - 3)/(-3((-2x - 3)/(-3x)) + 2)) + 3)) - 1) + 2 between the vertical lines x = -1.4 and x = -1.3. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2(2cos(3π(3|(2|(-1(5x)^2 - 2(5x) + 1) - 1| + 2)| + 1) - 1)) + 5, g(x) = 3(1|((-2(2cos(1π(-5x - 4) - 2) - 2))/(1(2cos(1π(-5x - 4) - 2) - 2) + 3)) - 2| + 3) - 3, x = 3.8, and x = 4.0. Round your answer to 1 decimal place.

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

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

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

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[User]
Find the area of the region bounded by the curves f(x) = -4(3(2|((3(1|(5x^2 - 3x + 1) + 3| - 1) - 1)/(2(1|(5x^2 - 3x + 1) + 3| - 1) + 1)) - 1|) + 3) + 5, g(x) = -1(2(3|((2(3|x + 2| + 3) - 3)/(-1(3|x + 2| + 3) - 3)) - 1| + 3)), x = -3.3, and x = -1.4. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(-4(-2|(1|(-2|((1x + 3)/(-3x - 3)) - 1| - 3) + 2| + 1)| - 1) - 1) - 5, g(x) = -2(1(-2sin(2π((-1(3x^2 + 5x - 4) - 3)/(-1(3x^2 + 5x - 4)))) + 1) + 5)^2 + 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) = -2|(4((-2(-3((-1(-3x + 2))/(-2(-3x + 2) + 3)) - 5) - 3)/(1(-3((-1(-3x + 2))/(-2(-3x + 2) + 3)) - 5) + 1))^2 - 3((-2(-3((-1(-3x + 2))/(-2(-3x + 2) + 3)) - 5) - 3)/(1(-3((-1(-3x + 2))/(-2(-3x + 2) + 3)) - 5) + 1)) + 3) - 1| + 2, g(x) = -1((2(2cos(2π(2(-2x + 5)^2 + 1(-2x + 5) - 5) - 2) - 3) + 3)/(-2(2cos(2π(2(-2x + 5)^2 + 1(-2x + 5) - 5) - 2) - 3) - 2)) + 3, x = 3.8, and x = 3.9. Round your answer to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 1sin(3π(1(-2|(-5(-3(-3|x + 1| - 2) - 3)^2 + 3(-3(-3|x + 1| - 2) - 3) + 4) - 1| + 2)^2 - 5(-2|(-5(-3(-3|x + 1| - 2) - 3)^2 + 3(-3(-3|x + 1| - 2) - 3) + 4) - 1| + 2) + 3) - 3) - 1, g(x) = (1((3(-3(2(-5x^2 - 4x - 1) + 3) - 1))/(3(-3(2(-5x^2 - 4x - 1) + 3) - 1) - 1)) + 1)/(2((3(-3(2(-5x^2 - 4x - 1) + 3) - 1))/(3(-3(2(-5x^2 - 4x - 1) + 3) - 1) - 1)) - 3), x = 0.0, and x = 0.1. 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) = -4(2((2(3(3(-1x^2 + 1x + 3) + 5)) + 3)/(-3(3(3(-1x^2 + 1x + 3) + 5)) - 2)) - 2) + 1 and g(x) = -3|(-1sin(1π(-5(-3(-1x^2 + 1x - 2) + 2) + 5) + 3) - 1) - 2| between the vertical lines x = -1.7 and x = 2.7. 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(-1(-1cos(1π(-2((-1x + 2)/(2x - 1))^2 - 2((-1x + 2)/(2x - 1)) - 1) - 3) - 1)^2 - 4(-1cos(1π(-2((-1x + 2)/(2x - 1))^2 - 2((-1x + 2)/(2x - 1)) - 1) - 3) - 1) + 2) + 1)^2 + 3(2(-1(-1cos(1π(-2((-1x + 2)/(2x - 1))^2 - 2((-1x + 2)/(2x - 1)) - 1) - 3) - 1)^2 - 4(-1cos(1π(-2((-1x + 2)/(2x - 1))^2 - 2((-1x + 2)/(2x - 1)) - 1) - 3) - 1) + 2) + 1) + 1 and g(x) = 4(5(3(-4((-3x - 3)/(-1x + 2)) - 4)^2 + 1(-4((-3x - 3)/(-1x + 2)) - 4) - 3)^2 - 1(3(-4((-3x - 3)/(-1x + 2)) - 4)^2 + 1(-4((-3x - 3)/(-1x + 2)) - 4) - 3) + 2)^2 - 2(5(3(-4((-3x - 3)/(-1x + 2)) - 4)^2 + 1(-4((-3x - 3)/(-1x + 2)) - 4) - 3)^2 - 1(3(-4((-3x - 3)/(-1x + 2)) - 4)^2 + 1(-4((-3x - 3)/(-1x + 2)) - 4) - 3) + 2) + 4 between the vertical lines x = -0.4 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(2cos(2π(-2(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)^2 - 4(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)) + 2) - 1) + 1)/(-3(2cos(2π(-2(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)^2 - 4(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)) + 2) - 1) + 2)) + 1)/(1((2(2cos(2π(-2(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)^2 - 4(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)) + 2) - 1) + 1)/(-3(2cos(2π(-2(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)^2 - 4(5(-3x^2 + 1x + 4)^2 + 5(-3x^2 + 1x + 4) + 1)) + 2) - 1) + 2))) and g(x) = -1(3((-2((-2(-3|x - 1| + 3) + 2)/(2(-3|x - 1| + 3) + 1)) - 2)/(-2((-2(-3|x - 1| + 3) + 2)/(2(-3|x - 1| + 3) + 1)) + 3))^2 - 1((-2((-2(-3|x - 1| + 3) + 2)/(2(-3|x - 1| + 3) + 1)) - 2)/(-2((-2(-3|x - 1| + 3) + 2)/(2(-3|x - 1| + 3) + 1)) + 3)) - 1) + 1 between the vertical lines x = 1.2 and x = 1.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2(1(-2((1(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) - 1)/(-2(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) + 1)) - 3)^2 - 1(-2((1(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) - 1)/(-2(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) + 1)) - 3))^2 - 5(1(-2((1(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) - 1)/(-2(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) + 1)) - 3)^2 - 1(-2((1(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) - 1)/(-2(5(-2|x - 1| - 1)^2 - 1(-2|x - 1| - 1) - 4) + 1)) - 3)) - 4 and g(x) = (-1((3(-1|((1((2x - 3)/(-3x - 3)) - 2)/(-2((2x - 3)/(-3x - 3)) - 1)) - 3| + 2) + 1)/(-2(-1|((1((2x - 3)/(-3x - 3)) - 2)/(-2((2x - 3)/(-3x - 3)) - 1)) - 3| + 2) - 2)) - 3)/(2((3(-1|((1((2x - 3)/(-3x - 3)) - 2)/(-2((2x - 3)/(-3x - 3)) - 1)) - 3| + 2) + 1)/(-2(-1|((1((2x - 3)/(-3x - 3)) - 2)/(-2((2x - 3)/(-3x - 3)) - 1)) - 3| + 2) - 2)) - 3) from x = 0.0 to x = 3.5. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = -1(3(4((-1(3(-1x + 5)^2 + 2(-1x + 5)) - 1)/(2(3(-1x + 5)^2 + 2(-1x + 5)) - 1))^2 - 4((-1(3(-1x + 5)^2 + 2(-1x + 5)) - 1)/(2(3(-1x + 5)^2 + 2(-1x + 5)) - 1)) - 5) + 3) - 1, g(x) = 1(3((-1(3sin(1π(2x^2 + 2x + 3) - 1) - 3) - 2)/(1(3sin(1π(2x^2 + 2x + 3) - 1) - 3) - 3)) - 4) + 5, x = 2.6, and x = 2.7. 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(-1sin(1π(-3|(-3|((-3(-5x) - 2)/(-1(-5x))) - 3| + 2)| - 2)) + 2) - 4 and g(x) = -1((-3(1(-2((-1x - 3)/(3x - 2)) - 2) + 4))/(3(1(-2((-1x - 3)/(3x - 2)) - 2) + 4) + 3))^2 + 4((-3(1(-2((-1x - 3)/(3x - 2)) - 2) + 4))/(3(1(-2((-1x - 3)/(3x - 2)) - 2) + 4) + 3)) - 4 between the vertical lines x = -0.7 and x = -0.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(-2(2(-1(-1((-1x - 2)/(1x))^2 + 3((-1x - 2)/(1x)) + 1) - 5)^2 - 1(-1(-1((-1x - 2)/(1x))^2 + 3((-1x - 2)/(1x)) + 1) - 5) - 1)), g(x) = 3(3sin(3π(1((-3((-2x)/(-1x)) + 3)/(2((-2x)/(-1x)) + 1)) + 5))) + 5, x = -0.4, and x = -0.30000000000000004. Round your answer to 1 decimal place.

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(2|(4(4(1|((-2x - 1)/(-2x + 1)) - 1| + 3)) - 3) + 3| + 1) - 3)/(-1(2|(4(4(1|((-2x - 1)/(-2x + 1)) - 1| + 3)) - 3) + 3| + 1) - 3) and g(x) = 3|(-4(-1|(1sin(3π(-5x^2 + 4x + 4)) + 2) - 1| - 1) - 4)| - 3 between the vertical lines x = 2.1 and x = 2.2. Round to 1 decimal place.

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

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

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

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[User]
Calculate the area enclosed between the functions f(x) = 5((3(1sin(2π((-1(2|(2|x - 3| + 2) - 1| + 3) - 2)/(-3(2|(2|x - 3| + 2) - 1| + 3) - 3)) - 3) + 2) - 2)/(-3(1sin(2π((-1(2|(2|x - 3| + 2) - 1| + 3) - 2)/(-3(2|(2|x - 3| + 2) - 1| + 3) - 3)) - 3) + 2))) + 3 and g(x) = (2(5(2cos(3π(-3|(1x^2 + 3x + 3) + 3| + 2) + 3) + 1)^2 - 4(2cos(3π(-3|(1x^2 + 3x + 3) + 3| + 2) + 3) + 1) - 3))/(2(5(2cos(3π(-3|(1x^2 + 3x + 3) + 3| + 2) + 3) + 1)^2 - 4(2cos(3π(-3|(1x^2 + 3x + 3) + 3| + 2) + 3) + 1) - 3) - 3) from x = 4.6 to x = 4.7. 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((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))))/(-2((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))) - 1)) - 2| + 3))/(2(-3|((-1((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))))/(-2((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))) - 1)) - 2| + 3) + 1)) + 3)/(-3((1(-3|((-1((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))))/(-2((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))) - 1)) - 2| + 3))/(2(-3|((-1((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))))/(-2((3((-3x - 2)/(-1x - 1)) - 3)/(3((-3x - 2)/(-1x - 1)))) - 1)) - 2| + 3) + 1)) + 1) and g(x) = -3(-3sin(2π(1((2(-3x^2 - 2x + 4) - 2)/(-1(-3x^2 - 2x + 4) - 2)) - 5) + 2))^2 + 1(-3sin(2π(1((2(-3x^2 - 2x + 4) - 2)/(-1(-3x^2 - 2x + 4) - 2)) - 5) + 2)) between the vertical lines x = 0.4 and x = 0.6. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = 2(1((-2(-2((2(2e^(-1x) - 1) + 1)/(3(2e^(-1x) - 1) - 2)) + 2) + 3)/(-3(-2((2(2e^(-1x) - 1) + 1)/(3(2e^(-1x) - 1) - 2)) + 2) + 4)) + 2)^2 + 5(1((-2(-2((2(2e^(-1x) - 1) + 1)/(3(2e^(-1x) - 1) - 2)) + 2) + 3)/(-3(-2((2(2e^(-1x) - 1) + 1)/(3(2e^(-1x) - 1) - 2)) + 2) + 4)) + 2) + 5, g(x) = 1|((2((1(2sin(1π((-2x + 3)/(1x + 1)) - 1)))/(-2(2sin(1π((-2x + 3)/(1x + 1)) - 1)) - 3)))/(-1((1(2sin(1π((-2x + 3)/(1x + 1)) - 1)))/(-2(2sin(1π((-2x + 3)/(1x + 1)) - 1)) - 3)) - 2)) + 3| + 3, x = 0.3, and x = 1.6. 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((-3(-1e^(-2((-1(4(-1x^2 + 2x - 2) + 3) + 1)/(2(4(-1x^2 + 2x - 2) + 3) - 1))) - 1))/(1(-1e^(-2((-1(4(-1x^2 + 2x - 2) + 3) + 1)/(2(4(-1x^2 + 2x - 2) + 3) - 1))) - 1) - 3)) - 3)/(2((-3(-1e^(-2((-1(4(-1x^2 + 2x - 2) + 3) + 1)/(2(4(-1x^2 + 2x - 2) + 3) - 1))) - 1))/(1(-1e^(-2((-1(4(-1x^2 + 2x - 2) + 3) + 1)/(2(4(-1x^2 + 2x - 2) + 3) - 1))) - 1) - 3)) - 3), g(x) = -1((1((-1(2|(2|x + 2| - 3) + 2| + 2) - 1)/(-2(2|(2|x + 2| - 3) + 2| + 2) + 3)) + 3)/(-3((-1(2|(2|x + 2| - 3) + 2| + 2) - 1)/(-2(2|(2|x + 2| - 3) + 2| + 2) + 3)) - 1))^2 + 1, x = -2.2, and x = -1.8. 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(-3sin(3π(2|(2(-5((2x - 3)/(1x + 2)) - 1) + 1) + 2| - 2) + 2) + 1)^2 + 2(-3sin(3π(2|(2(-5((2x - 3)/(1x + 2)) - 1) + 1) + 2| - 2) + 2) + 1) + 5, g(x) = 2cos(2π(-1((2(2((3x + 1)/(-1x - 2)) + 1) - 1)/(-3(2((3x + 1)/(-1x - 2)) + 1)))^2 + 2((2(2((3x + 1)/(-1x - 2)) + 1) - 1)/(-3(2((3x + 1)/(-1x - 2)) + 1))) - 1) + 1) - 1, x = 0.6, 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) = 2(-2|(4(3(-4(-3|x - 2| + 2)^2 - 4(-3|x - 2| + 2) + 1))) + 1| - 3) - 4 and g(x) = -4(-4(-2(-1|(1|x + 2| - 1) + 1| + 2)^2 - 3(-1|(1|x + 2| - 1) + 1| + 2)) - 5)^2 - 4(-4(-2(-1|(1|x + 2| - 1) + 1| + 2)^2 - 3(-1|(1|x + 2| - 1) + 1| + 2)) - 5) - 5 between the vertical lines x = 0.7 and x = 1.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2(1|((2(3(-1|((-1x - 2)/(1x)) - 3| - 3)^2 - 3(-1|((-1x - 2)/(1x)) - 3| - 3) + 4) - 3)/(2(3(-1|((-1x - 2)/(1x)) - 3| - 3)^2 - 3(-1|((-1x - 2)/(1x)) - 3| - 3) + 4) - 1)) - 2| - 1) - 2)/(1(1|((2(3(-1|((-1x - 2)/(1x)) - 3| - 3)^2 - 3(-1|((-1x - 2)/(1x)) - 3| - 3) + 4) - 3)/(2(3(-1|((-1x - 2)/(1x)) - 3| - 3)^2 - 3(-1|((-1x - 2)/(1x)) - 3| - 3) + 4) - 1)) - 2| - 1)) and g(x) = -1(-3|(-1(5(1x - 3)^2 + 1(1x - 3) + 3)^2 + 4(5(1x - 3)^2 + 1(1x - 3) + 3) - 1) - 2| + 2)^2 + 2(-3|(-1(5(1x - 3)^2 + 1(1x - 3) + 3)^2 + 4(5(1x - 3)^2 + 1(1x - 3) + 3) - 1) - 2| + 2) + 4 from x = 2.3 to x = 3.5. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 5(1((3(4(-3sin(1π(2x + 4) - 2) + 1) - 1) + 2)/(-3(4(-3sin(1π(2x + 4) - 2) + 1) - 1) - 1))^2 + 4((3(4(-3sin(1π(2x + 4) - 2) + 1) - 1) + 2)/(-3(4(-3sin(1π(2x + 4) - 2) + 1) - 1) - 1)) - 1) + 2 and g(x) = (-2(4(-5((2(-3x^2 + 5x - 5) - 2)/(-1(-3x^2 + 5x - 5) + 2)) + 4)) - 2)/(-1(4(-5((2(-3x^2 + 5x - 5) - 2)/(-1(-3x^2 + 5x - 5) + 2)) + 4)) + 2) from x = -3.6 to x = -3.2. 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((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 3)/(-1((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 2))^2 - 4((-1((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 3)/(-1((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 2)) + 3) - 3)/(-3(-4((-1((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 3)/(-1((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 2))^2 - 4((-1((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 3)/(-1((3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) + 3)/(3(4((-2x)/(2x))^2 + 3((-2x)/(2x)) + 1) - 1)) + 2)) + 3) - 3), g(x) = (1((-3(-3|(-2|(1x + 2) + 3| + 2) - 1| + 2) + 1)/(-1(-3|(-2|(1x + 2) + 3| + 2) - 1| + 2) - 1)) - 1)/(-2((-3(-3|(-2|(1x + 2) + 3| + 2) - 1| + 2) + 1)/(-1(-3|(-2|(1x + 2) + 3| + 2) - 1| + 2) - 1)) + 3), x = -4.6, and x = -4.4. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-1(3|(-5((2(1x))/(-1(1x) + 3))^2 + 4((2(1x))/(-1(1x) + 3)) + 1) - 1| - 2) + 5) + 1 and g(x) = -2|((3(-4(1|(1x - 3) + 2| + 1)^2 + 2(1|(1x - 3) + 2| + 1) + 2) - 2)/(-2(-4(1|(1x - 3) + 2| + 1)^2 + 2(1|(1x - 3) + 2| + 1) + 2) - 1)) - 3| + 3 between the vertical lines x = -1.0 and x = 1.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3e^(1(-2(2|(1((2(1x + 1) - 2)/(-2(1x + 1) + 1)) + 2)| + 1) + 4)) - 1 and g(x) = -2|(-2cos(2π(4((1((-2x)/(3x)) - 1)/(-3((-2x)/(3x)) + 1))^2 - 5((1((-2x)/(3x)) - 1)/(-3((-2x)/(3x)) + 1)) + 2) + 2) - 2) - 1| + 2 from x = -2.6 to x = -0.8. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1((-3(-3(-1(5(-4x^2 - 1x + 5)^2 - 1)^2 - 5(5(-4x^2 - 1x + 5)^2 - 1) + 5) + 4) + 1)/(-1(-3(-1(5(-4x^2 - 1x + 5)^2 - 1)^2 - 5(5(-4x^2 - 1x + 5)^2 - 1) + 5) + 4))) - 3)/(2((-3(-3(-1(5(-4x^2 - 1x + 5)^2 - 1)^2 - 5(5(-4x^2 - 1x + 5)^2 - 1) + 5) + 4) + 1)/(-1(-3(-1(5(-4x^2 - 1x + 5)^2 - 1)^2 - 5(5(-4x^2 - 1x + 5)^2 - 1) + 5) + 4))) + 3) and g(x) = -2|(1((1(4(-4x^2 + 5x - 1)^2 - 3(-4x^2 + 5x - 1) - 3) - 2)/(3(4(-4x^2 + 5x - 1)^2 - 3(-4x^2 + 5x - 1) - 3) - 1))^2 - 5((1(4(-4x^2 + 5x - 1)^2 - 3(-4x^2 + 5x - 1) - 3) - 2)/(3(4(-4x^2 + 5x - 1)^2 - 3(-4x^2 + 5x - 1) - 3) - 1)) - 3) - 3| + 1 from x = 0.1 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) = 2(4((3(1(1|(1|x - 1| + 2) - 1|) + 3) - 1)/(-2(1(1|(1|x - 1| + 2) - 1|) + 3)))^2 + 4((3(1(1|(1|x - 1| + 2) - 1|) + 3) - 1)/(-2(1(1|(1|x - 1| + 2) - 1|) + 3))) + 5)^2 + 3(4((3(1(1|(1|x - 1| + 2) - 1|) + 3) - 1)/(-2(1(1|(1|x - 1| + 2) - 1|) + 3)))^2 + 4((3(1(1|(1|x - 1| + 2) - 1|) + 3) - 1)/(-2(1(1|(1|x - 1| + 2) - 1|) + 3))) + 5) + 3 and g(x) = (-2(2cos(2π(1|(1|((-1x - 3)/(-3x + 1)) - 3| + 1)| - 1) + 2)) + 3)/(-2(2cos(2π(1|(1|((-1x - 3)/(-3x + 1)) - 3| + 1)| - 1) + 2)) - 3) between the vertical lines x = 1.1 and x = 2.2. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-5(-5((-3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) - 3)/(3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) + 2))^2 + 2((-3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) - 3)/(3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) + 2)) + 5)^2 - 4(-5((-3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) - 3)/(3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) + 2))^2 + 2((-3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) - 3)/(3((3((-1x - 2)/(1x + 3)) - 2)/(-2((-1x - 2)/(1x + 3)) + 1)) + 2)) + 5) + 2) + 1| and g(x) = (-2(-4((1(1|(-1e^(2x) - 3) + 3|) + 3)/(3(1|(-1e^(2x) - 3) + 3|) - 2)) - 3) - 2)/(-3(-4((1(1|(-1e^(2x) - 3) + 3|) + 3)/(3(1|(-1e^(2x) - 3) + 3|) - 2)) - 3) + 4) between the vertical lines x = -2.3 and x = -2.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -5(-3(2((-3(-4(-2|x + 3| - 2) - 5) - 1)/(2(-4(-2|x + 3| - 2) - 5) + 1))) - 4) - 5 and g(x) = (1(-3(3(-1|(-2|x + 1| + 2) - 2|)^2 + 1(-1|(-2|x + 1| + 2) - 2|) - 3) - 3) - 3)/(2(-3(3(-1|(-2|x + 1| + 2) - 2|)^2 + 1(-1|(-2|x + 1| + 2) - 2|) - 3) - 3) + 2) from x = -1.5 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) = (1(-2|((-2(1|(3e^(-1(-1x + 5)) + 1) - 3| + 2))/(1(1|(3e^(-1(-1x + 5)) + 1) - 3| + 2))) - 1| - 3) - 3)/(-1(-2|((-2(1|(3e^(-1(-1x + 5)) + 1) - 3| + 2))/(1(1|(3e^(-1(-1x + 5)) + 1) - 3| + 2))) - 1| - 3)), g(x) = 4((1(-4(3sin(3π(-5x^2 + 2x - 1) + 2) + 1) + 3))/(3(-4(3sin(3π(-5x^2 + 2x - 1) + 2) + 1) + 3) + 3)) + 1, x = -3.4, 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) = -1e^(1((-1((2(2((2(3|x + 3| + 1))/(3(3|x + 3| + 1) + 2)) - 5) - 3)/(1(2((2(3|x + 3| + 1))/(3(3|x + 3| + 1) + 2)) - 5) + 1)) - 1)/(-3((2(2((2(3|x + 3| + 1))/(3(3|x + 3| + 1) + 2)) - 5) - 3)/(1(2((2(3|x + 3| + 1))/(3(3|x + 3| + 1) + 2)) - 5) + 1)) + 2))) - 1 and g(x) = -2|(-2sin(2π(1|(-1(-3x)^2 + 2(-3x) - 5) - 1|) + 3) - 3) + 1| + 2 from x = -4.8 to x = -4.7. Round to 1 decimal place.

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

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[User]
Find the area of the region bounded by the curves f(x) = -3(-2cos(2π(2((3(5((2x + 2)/(1x + 1))^2 + 5) - 3)/(3(5((2x + 2)/(1x + 1))^2 + 5) - 2)) - 1) - 3) - 1)^2 - 3(-2cos(2π(2((3(5((2x + 2)/(1x + 1))^2 + 5) - 3)/(3(5((2x + 2)/(1x + 1))^2 + 5) - 2)) - 1) - 3) - 1) + 2, g(x) = -5((3(3(3(-3x - 3)^2 + 5(-3x - 3))^2 + 4(3(-3x - 3)^2 + 5(-3x - 3)) + 5) - 2)/(2(3(3(-3x - 3)^2 + 5(-3x - 3))^2 + 4(3(-3x - 3)^2 + 5(-3x - 3)) + 5))) + 3, x = -1.0, and x = -0.4. 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(-1cos(2π(4((-3x - 3)/(-1x + 2)) - 3) - 3) + 3) - 3)/(3(-1cos(2π(4((-3x - 3)/(-1x + 2)) - 3) - 3) + 3) - 2)) + 5) - 1)/(2(3((3(-1cos(2π(4((-3x - 3)/(-1x + 2)) - 3) - 3) + 3) - 3)/(3(-1cos(2π(4((-3x - 3)/(-1x + 2)) - 3) - 3) + 3) - 2)) + 5) + 2) and g(x) = -3(-1|((2(-3|((2x - 1)/(-3x + 1)) + 3| + 1))/(3(-3|((2x - 1)/(-3x + 1)) + 3| + 1) - 2)) - 2| + 3) + 4 between the vertical lines x = 0.3 and x = 0.4. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = 3|(-3|(3|(-2(2|(2cos(2πx + 2) - 1) + 2| - 2)^2 - 5(2|(2cos(2πx + 2) - 1) + 2| - 2) - 1) + 3| - 2) - 2| + 2) - 2| - 1 and g(x) = 2e^(2(3((-1(-3|(-2x) - 3| + 3) + 1)/(-2(-3|(-2x) - 3| + 3) - 1))^2 + 5((-1(-3|(-2x) - 3| + 3) + 1)/(-2(-3|(-2x) - 3| + 3) - 1)) - 5)) + 3 from x = 3.9 to x = 4.4. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1e^(2(-4(1(4(2(2|x + 1| - 3)^2)^2 + 2(2(2|x + 1| - 3)^2) + 3) - 3)^2 + 1(1(4(2(2|x + 1| - 3)^2)^2 + 2(2(2|x + 1| - 3)^2) + 3) - 3) - 2)) - 1 and g(x) = -2|(-3(-1(2|(-1|x + 1| + 3)| - 1) + 3)^2 - 2(-1(2|(-1|x + 1| + 3)| - 1) + 3) + 3) - 1| + 2 between the vertical lines x = 3.6 and x = 3.9. 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) = -1cos(2π((-1(-3(-5((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3))^2 + 2((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3)) - 2)^2 + 2(-5((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3))^2 + 2((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3)) - 2) - 4))/(-2(-3(-5((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3))^2 + 2((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3)) - 2)^2 + 2(-5((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3))^2 + 2((1(1|x + 1| + 2) + 1)/(3(1|x + 1| + 2) + 3)) - 2) - 4) - 1)) - 2) + 1, g(x) = -5(-3((1(-3(-3x^2 - 5x - 2) - 2) - 2)/(3(-3(-3x^2 - 5x - 2) - 2) - 2)) + 2)^2 - 1(-3((1(-3(-3x^2 - 5x - 2) - 2) - 2)/(3(-3(-3x^2 - 5x - 2) - 2) - 2)) + 2) + 4, x = -1.3, and x = -0.3. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -4(-4(-2cos(3π(3(-1(-1|x + 1| + 1)^2 - 1(-1|x + 1| + 1))^2 - 5(-1(-1|x + 1| + 1)^2 - 1(-1|x + 1| + 1)) - 3) + 2) - 2)^2 - 5(-2cos(3π(3(-1(-1|x + 1| + 1)^2 - 1(-1|x + 1| + 1))^2 - 5(-1(-1|x + 1| + 1)^2 - 1(-1|x + 1| + 1)) - 3) + 2) - 2) + 3) + 3 and g(x) = 4(-1(-2|((1((-1x - 2)/(2x + 1)) + 2)/(-2((-1x - 2)/(2x + 1))))| + 2)^2 + 4(-2|((1((-1x - 2)/(2x + 1)) + 2)/(-2((-1x - 2)/(2x + 1))))| + 2) - 5)^2 + 4(-1(-2|((1((-1x - 2)/(2x + 1)) + 2)/(-2((-1x - 2)/(2x + 1))))| + 2)^2 + 4(-2|((1((-1x - 2)/(2x + 1)) + 2)/(-2((-1x - 2)/(2x + 1))))| + 2) - 5) - 1 from x = 4.5 to x = 4.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|((-3((2(5(-1(4x^2 + 1x + 1) + 3)^2 - 4) - 1)/(-3(5(-1(4x^2 + 1x + 1) + 3)^2 - 4) + 1)) + 1)/(3((2(5(-1(4x^2 + 1x + 1) + 3)^2 - 4) - 1)/(-3(5(-1(4x^2 + 1x + 1) + 3)^2 - 4) + 1)) + 3)) - 3| and g(x) = 1(-1|(4(4(1x) + 5) - 3) + 3|)^2 - 2(-1|(4(4(1x) + 5) - 3) + 3|) - 2 between the vertical lines x = -1.3 and x = -1.2. Round to 1 decimal place.

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

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


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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-2(3|(-2sin(2π(-2(-3x - 4) - 2) + 2) - 1) - 2| - 3)^2 + 5(3|(-2sin(2π(-2(-3x - 4) - 2) + 2) - 1) - 2| - 3) + 3)^2 - 5(-2(3|(-2sin(2π(-2(-3x - 4) - 2) + 2) - 1) - 2| - 3)^2 + 5(3|(-2sin(2π(-2(-3x - 4) - 2) + 2) - 1) - 2| - 3) + 3) + 2 and g(x) = (-1(3|(-2e^(2(-1((-2x + 1)/(-1x + 3))^2 - 4)) - 1) + 3| + 1) + 1)/(2(3|(-2e^(2(-1((-2x + 1)/(-1x + 3))^2 - 4)) - 1) + 3| + 1) - 1) between the vertical lines x = 0.7 and x = 0.7999999999999999. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|((3(2|(-2|((-1(3|x + 3| - 2) - 3)/(-3(3|x + 3| - 2) + 4)) - 1| - 2) - 1| + 2) + 1)/(-3(2|(-2|((-1(3|x + 3| - 2) - 3)/(-3(3|x + 3| - 2) + 4)) - 1| - 2) - 1| + 2) - 3)) + 2| + 3 and g(x) = 3(-1|(3(1(1e^(1x) - 1)^2 - 5)) + 1| + 1) from x = 1.1 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) = -2sin(3π(-3|(3(1|(4((1x - 2)/(-3x + 1)) + 5) + 3| + 2)^2 + 2(1|(4((1x - 2)/(-3x + 1)) + 5) + 3| + 2) - 5) - 3| - 1)) - 3 and g(x) = -2(3((-1(1(-1cos(1πx - 1) + 2)^2 - 1(-1cos(1πx - 1) + 2) - 3) + 3)/(-3(1(-1cos(1πx - 1) + 2)^2 - 1(-1cos(1πx - 1) + 2) - 3) + 1)) - 3) - 3 between the vertical lines x = -0.2 and x = -0.1. Round to 1 decimal place.

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


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

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[User]
Find the area of the region bounded by the curves f(x) = (3(1|(5(-3|(-1(-1|x| + 2) - 2) + 2| - 1)^2 - 3(-3|(-1(-1|x| + 2) - 2) + 2| - 1) + 1) - 3| - 1))/(-2(1|(5(-3|(-1(-1|x| + 2) - 2) + 2| - 1)^2 - 3(-3|(-1(-1|x| + 2) - 2) + 2| - 1) + 1) - 3| - 1) - 3), g(x) = -4((-2(2|((1(1x^2 - 5x + 4) + 2)/(-3(1x^2 - 5x + 4) - 1)) - 3|) + 3)/(3(2|((1(1x^2 - 5x + 4) + 2)/(-3(1x^2 - 5x + 4) - 1)) - 3|) + 2)) + 2, x = 3.8, and x = 3.9. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -4(2((2(4(-1(1|x + 1| - 3)^2 + 2)^2) + 3)/(3(4(-1(1|x + 1| - 3)^2 + 2)^2) + 2))^2 - 2((2(4(-1(1|x + 1| - 3)^2 + 2)^2) + 3)/(3(4(-1(1|x + 1| - 3)^2 + 2)^2) + 2)) + 3)^2 + 5, g(x) = (3(3|(2|(1(3x^2 - 4x)^2 - 4(3x^2 - 4x) - 2) + 3| - 2) - 2| - 2) - 2)/(3(3|(2|(1(3x^2 - 4x)^2 - 4(3x^2 - 4x) - 2) + 3| - 2) - 2| - 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) = -2(2(2|(-3(-4(-4x^2 - 5x + 4) + 1)^2 + 1(-4(-4x^2 - 5x + 4) + 1) + 4)| - 2)^2 + 3(2|(-3(-4(-4x^2 - 5x + 4) + 1)^2 + 1(-4(-4x^2 - 5x + 4) + 1) + 4)| - 2) - 2) - 3 and g(x) = -3(3(-1cos(1π(3|(4x + 1) - 1| - 2)) + 1) - 4) - 5 from x = -1.8 to 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) = (2(5((1((3(-1((-2x - 1)/(-2x + 3)) + 2) - 3)/(-3(-1((-2x - 1)/(-2x + 3)) + 2) - 2)) + 3)/(1((3(-1((-2x - 1)/(-2x + 3)) + 2) - 3)/(-3(-1((-2x - 1)/(-2x + 3)) + 2) - 2)) - 2)) + 4) + 3)/(-1(5((1((3(-1((-2x - 1)/(-2x + 3)) + 2) - 3)/(-3(-1((-2x - 1)/(-2x + 3)) + 2) - 2)) + 3)/(1((3(-1((-2x - 1)/(-2x + 3)) + 2) - 3)/(-3(-1((-2x - 1)/(-2x + 3)) + 2) - 2)) - 2)) + 4) + 2), g(x) = -1(5(1(-1|((-2x)/(2x - 3)) + 3| - 3) + 5) + 1) + 3, x = 2.2, and x = 3.4. Round your answer to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(-1sin(2π(4((3(-5(-3x^2 - 4x - 2)^2 - 5) + 1)/(-1(-5(-3x^2 - 4x - 2)^2 - 5) + 2)) - 1) + 1) + 1) - 2| - 1 and g(x) = -1(-2(2|(2(-1|x + 3| + 2) + 4) - 3| - 1) - 1) - 1 between the vertical lines x = -0.4 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) = 4(-3|(-3(-2|(-3(4x + 1)^2 - 4(4x + 1) - 2) + 2| + 1)^2 + 4(-2|(-3(4x + 1)^2 - 4(4x + 1) - 2) + 2| + 1)) + 3| + 2) + 2 and g(x) = -1|(-2|(-1|(3((3x - 3)/(1x + 3))^2 - 5((3x - 3)/(1x + 3)) + 3)| + 2) - 3| + 2) - 2| - 3 between the vertical lines x = -0.6 and x = -0.5. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(5((-3(-1(-2|(4x^2 + 4x - 4) - 1| - 1)^2 - 4(-2|(4x^2 + 4x - 4) - 1| - 1) - 2) + 3)/(2(-1(-2|(4x^2 + 4x - 4) - 1| - 1)^2 - 4(-2|(4x^2 + 4x - 4) - 1| - 1) - 2))) + 5) + 1| + 1 and g(x) = -1|((2(-3(-1|((-2x + 2)/(-2x - 2)) + 1| - 3)^2 + 3) + 1)/(-1(-3(-1|((-2x + 2)/(-2x - 2)) + 1| - 3)^2 + 3) + 3)) + 3| - 3 between the vertical lines x = 0.7 and x = 0.7999999999999999. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-1sin(1π(3(2|(-3|((-3x + 3)/(3x + 1)) + 3|) + 1| + 3)^2 - 1(2|(-3|((-3x + 3)/(3x + 1)) + 3|) + 1| + 3) - 3) - 1) + 3) - 3)/(1(-1sin(1π(3(2|(-3|((-3x + 3)/(3x + 1)) + 3|) + 1| + 3)^2 - 1(2|(-3|((-3x + 3)/(3x + 1)) + 3|) + 1| + 3) - 3) - 1) + 3) - 2) and g(x) = -1(-2|(1cos(3π(-1(3x + 2)) + 1) + 1) + 2| + 2) - 2 between the vertical lines x = 0.7 and x = 0.7999999999999999. Round to 1 decimal place.

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

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

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

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

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[User]
Find the area of the region bounded by the curves f(x) = (2(-3(2|((-1(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 3)/(-3(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 2)) - 1| - 1)^2 - 3(2|((-1(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 3)/(-3(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 2)) - 1| - 1)) - 1)/(1(-3(2|((-1(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 3)/(-3(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 2)) - 1| - 1)^2 - 3(2|((-1(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 3)/(-3(-2sin(1π(1|x - 2| + 1) - 2) - 2) - 2)) - 1| - 1)) + 2), g(x) = -3(5(-5(1|(-3|x|) - 2| - 3) - 4) - 2) - 1, x = 0.1, 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) = (-3(-1((3(2(2(-5x - 4)^2 - 4(-5x - 4) - 1)^2 - 3(2(-5x - 4)^2 - 4(-5x - 4) - 1) - 3) + 2)/(-2(2(2(-5x - 4)^2 - 4(-5x - 4) - 1)^2 - 3(2(-5x - 4)^2 - 4(-5x - 4) - 1) - 3) + 1))^2 - 2) + 1)/(1(-1((3(2(2(-5x - 4)^2 - 4(-5x - 4) - 1)^2 - 3(2(-5x - 4)^2 - 4(-5x - 4) - 1) - 3) + 2)/(-2(2(2(-5x - 4)^2 - 4(-5x - 4) - 1)^2 - 3(2(-5x - 4)^2 - 4(-5x - 4) - 1) - 3) + 1))^2 - 2) - 3), g(x) = 5(3(3(-5(3|x + 1| - 1) - 5)^2 - 2) - 5) + 5, x = -1.1, and x = -0.9. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (1(3((2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 3)/(-2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 2))^2 + 2((2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 3)/(-2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 2)) + 3) + 2)/(-2(3((2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 3)/(-2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 2))^2 + 2((2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 3)/(-2(-2|(5((1x - 1)/(-1x - 3)) - 3) - 2| - 1) - 2)) + 3) - 3), g(x) = -1e^(2(1|(1(1((-2x - 1)/(-3x + 1)) - 3) - 3) + 2| - 2)) + 3, x = 0.4, 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) = (3(4(3|(2(-3|(3|x + 2| - 3) + 2|)^2 + 5(-3|(3|x + 2| - 3) + 2|) - 1) + 3| - 3)^2 - 3(3|(2(-3|(3|x + 2| - 3) + 2|)^2 + 5(-3|(3|x + 2| - 3) + 2|) - 1) + 3| - 3)) + 3)/(2(4(3|(2(-3|(3|x + 2| - 3) + 2|)^2 + 5(-3|(3|x + 2| - 3) + 2|) - 1) + 3| - 3)^2 - 3(3|(2(-3|(3|x + 2| - 3) + 2|)^2 + 5(-3|(3|x + 2| - 3) + 2|) - 1) + 3| - 3)) + 2), g(x) = (-2(-2((-3((1(-3|x - 2| + 3) + 3)/(-3(-3|x - 2| + 3) + 1)) - 2)/(3((1(-3|x - 2| + 3) + 3)/(-3(-3|x - 2| + 3) + 1)) - 1)) - 5) - 1)/(3(-2((-3((1(-3|x - 2| + 3) + 3)/(-3(-3|x - 2| + 3) + 1)) - 2)/(3((1(-3|x - 2| + 3) + 3)/(-3(-3|x - 2| + 3) + 1)) - 1)) - 5) + 1), x = 0.8, and x = 3.2. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-2((-2(-5(3|(-2(-3x^2 - 5x + 1) - 4) + 1| - 3) + 4) - 1)/(-1(-5(3|(-2(-3x^2 - 5x + 1) - 4) + 1| - 3) + 4) - 2)) + 1)/(-1((-2(-5(3|(-2(-3x^2 - 5x + 1) - 4) + 1| - 3) + 4) - 1)/(-1(-5(3|(-2(-3x^2 - 5x + 1) - 4) + 1| - 3) + 4) - 2)) + 2), g(x) = (2(-3(-3(1(-1x^2 - 3x + 4)^2 - 4(-1x^2 - 3x + 4) + 2)^2 - 1(1(-1x^2 - 3x + 4)^2 - 4(-1x^2 - 3x + 4) + 2) + 2) + 2) - 2)/(-3(-3(-3(1(-1x^2 - 3x + 4)^2 - 4(-1x^2 - 3x + 4) + 2)^2 - 1(1(-1x^2 - 3x + 4)^2 - 4(-1x^2 - 3x + 4) + 2) + 2) + 2) + 1), x = 0.3, and x = 0.5. 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(-4(4(1(-1(-5x^2 - 2x + 2) - 1) - 4) + 4) + 5) - 2)/(-1(-4(4(1(-1(-5x^2 - 2x + 2) - 1) - 4) + 4) + 5) + 2) and g(x) = 2e^(1(-2(1|(2(-3|x + 1| - 3) + 5) - 3| - 3) + 1)) + 3 between the vertical lines x = -1.3 and x = 0.9. Round to 1 decimal place.

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(3e^(1(-4(4((1(3|x + 2| + 3) + 2)/(2(3|x + 2| + 3)))^2 + 5((1(3|x + 2| + 3) + 2)/(2(3|x + 2| + 3)))) + 4)) + 2) + 2)/(-1(3e^(1(-4(4((1(3|x + 2| + 3) + 2)/(2(3|x + 2| + 3)))^2 + 5((1(3|x + 2| + 3) + 2)/(2(3|x + 2| + 3)))) + 4)) + 2) - 1) and g(x) = 3cos(2π(3(1|(-1(-3x - 2)^2 + 4(-3x - 2) + 5) - 1| + 3)) - 2) + 3 between the vertical lines x = -3.0 and x = -2.9. Round to 1 decimal place.

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

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