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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 3|(-3((-2(-3x - 4) + 2)/(-3(-3x - 4) - 3))^2 - 2((-2(-3x - 4) + 2)/(-3(-3x - 4) - 3)) - 5)| + 1, g(x) = 5(1(-1sin(2πx) - 2)^2 - 5(-1sin(2πx) - 2) - 3) - 1, x = -0.8, and x = -0.5. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|((1(1x - 4) + 3)/(-2(1x - 4))) - 3| and g(x) = -1(3x^2 + 2x + 4) + 5 between the vertical lines x = 0.9 and x = 4.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (2(-4(3|(-2x^2 + 3x + 3) + 2| + 2) - 3))/(2(-4(3|(-2x^2 + 3x + 3) + 2| + 2) - 3)), g(x) = (2(-4(-3cos(1πx - 2) + 1)^2 - 4(-3cos(1πx - 2) + 1) + 3) + 1)/(-1(-4(-3cos(1πx - 2) + 1)^2 - 4(-3cos(1πx - 2) + 1) + 3) + 2), x = -3.6, and x = -3.2. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1((-2(1|(-1x^2 - 2x + 1) + 2| - 3) - 3)/(-1(1|(-1x^2 - 2x + 1) + 2| - 3) - 1)) - 1 and g(x) = 3|(-3e^(-1(2x - 2)) - 3) + 1| - 2 from x = 0.4 to x = 1.4. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 1|(-2((3(-3cos(3πx + 2) + 1) + 2)/(-3(-3cos(3πx + 2) + 1) + 2)) + 4) + 2| + 2, g(x) = -3sin(1π((1(-5x + 5) + 1)/(3(-5x + 5))) - 2), x = -2.1, 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) = -3sin(1π(3|(-2x + 3) + 1| - 1)) - 1 and g(x) = -3(3sin(3πx - 1) + 1) + 3 between the vertical lines x = 2.4 and x = 2.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3e^(1((2(1|x + 1| + 1) + 1)/(1(1|x + 1| + 1)))) - 3 and g(x) = (3(-2|x + 3| + 1) + 3)/(3(-2|x + 3| + 1) + 2) between the vertical lines x = -3.8 and x = -2.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -4((-1(-1|x| - 2) - 3)/(-3(-1|x| - 2) - 1)) + 4, g(x) = 3cos(3π(1x - 4)) + 1, x = 1.4, and x = 2.0. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2sin(2π((-2(-1x^2 + 2x) + 2)/(-1(-1x^2 + 2x) + 3)) - 2) and g(x) = 5(2x^2 + 1x - 5) - 5 from x = -2.0 to x = 1.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3cos(3π(-1(-3|x + 3| - 3)^2 + 5(-3|x + 3| - 3) + 2) - 1) - 1 and g(x) = -1e^(-1(-3|x - 1| + 3)) - 2 from x = 2.0 to x = 2.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (2(-1(3|x - 2| - 1) - 2) + 3)/(1(-1(3|x - 2| - 1) - 2) + 3), g(x) = -1((2x - 2)/(-1x + 3))^2 + 3((2x - 2)/(-1x + 3)) - 3, x = 1.7, and x = 2.6. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-3cos(3π(-1(-1|x - 3| + 2) - 1) - 1) - 3)^2 - 4 and g(x) = 3((-1(2|x - 3|) + 3)/(2(2|x - 3|) + 2)) - 2 between the vertical lines x = -3.2 and x = -3.0. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (3(5(2e^(-2x) - 1)^2 - 1(2e^(-2x) - 1) - 3) - 3)/(1(5(2e^(-2x) - 1)^2 - 1(2e^(-2x) - 1) - 3)), g(x) = -2|(5x^2 + 3x - 5) + 1| + 3, x = 0.0, and x = 1.0. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-3cos(2π(-1(-3|x + 3| - 1)^2 + 1(-3|x + 3| - 1) + 5) - 2) - 1) - 1)/(-1(-3cos(2π(-1(-3|x + 3| - 1)^2 + 1(-3|x + 3| - 1) + 5) - 2) - 1) - 1) and g(x) = -3|(1(1x - 5)^2 - 1(1x - 5)) + 3| + 2 between the vertical lines x = 3.9 and x = 4.0. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1(-4((3x - 1)/(2x))^2 + 2((3x - 1)/(2x)) + 1) - 2 and g(x) = -2(-1sin(2πx + 1) - 2)^2 - 4(-1sin(2πx + 1) - 2) + 5 between the vertical lines x = 0.2 and x = 1.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1|(2(-5x + 4)^2 - 5) + 2| - 1 and g(x) = 5(-2|x + 3| + 2) + 3 from x = 0.2 to x = 1.6. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2((1(3cos(2πx) - 1) + 3)/(3(3cos(2πx) - 1))) + 3 and g(x) = -1|(1x^2 - 2x + 2) - 1| + 3 between the vertical lines x = -2.2 and x = -1.8. Round to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-3|(2sin(2πx - 3) + 1) - 2|) + 5 and g(x) = (-1(-2x) - 3)/(-3(-2x) + 2) between the vertical lines x = -3.0 and x = -2.6. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(-3(-1(-3|x + 2| - 3)^2 + 3(-3|x + 2| - 3) + 2) - 5) - 3)/(2(-3(-1(-3|x + 2| - 3)^2 + 3(-3|x + 2| - 3) + 2) - 5) - 1) and g(x) = 1cos(2π(-1(-2x^2 - 4) + 5)) - 2 from x = -4.9 to x = -4.800000000000001. Round to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -5(-2|(3sin(2π(-1x^2 + 5x + 5) - 1) - 3) + 2| - 1) - 2, g(x) = (-3(3|(-2sin(1πx + 3) + 3) - 1| - 3) + 3)/(2(3|(-2sin(1πx + 3) + 3) - 1| - 3) - 1), x = -4.8, and x = -2.1. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(1(-1|x - 1| + 1) - 2) - 1) and g(x) = 1(-5x^2 + 3x + 3) + 3 between the vertical lines x = -1.1 and x = 1.5. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 5((-2(5x^2 - 1x + 5))/(-2(5x^2 - 1x + 5) + 3)) - 3 and g(x) = 2|(3e^(-2x) + 1) - 2| + 2 from x = 0.2 to x = 0.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3((-1(-3x^2 + 5x + 4) + 2)/(1(-3x^2 + 5x + 4) + 1)) + 3, g(x) = 1(-5x + 4)^2 - 4, x = 0.3, and x = 1.3. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(1((3(-3|x + 2| + 1))/(-2(-3|x + 2| + 1) + 3))^2 + 3) - 5 and g(x) = (1(5(-1x + 3)^2 + 2))/(1(5(-1x + 3)^2 + 2) - 3) between the vertical lines x = 2.6 and x = 3.4. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(1(5(2cos(3πx - 1) - 1))^2 - 2(5(2cos(3πx - 1) - 1)) + 2) + 1)/(1(1(5(2cos(3πx - 1) - 1))^2 - 2(5(2cos(3πx - 1) - 1)) + 2) + 3), g(x) = (1(3cos(3π(3|x + 2| - 1) + 1) + 1) - 1)/(-1(3cos(3π(3|x + 2| - 1) + 1) + 1) + 2), x = 2.7, and x = 2.8. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(3(2(-3|x + 1| - 3) - 5)^2 - 3(2(-3|x + 1| - 3) - 5) - 5) - 2)/(2(3(2(-3|x + 1| - 3) - 5)^2 - 3(2(-3|x + 1| - 3) - 5) - 5) - 1) and g(x) = 2((-2(3cos(1πx - 2) - 1) - 3)/(1(3cos(1πx - 2) - 1))) from x = 2.0 to x = 3.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|((-3(-1x - 3) - 2)/(-1(-1x - 3) + 3)) - 2| and g(x) = -3cos(2π(-1|x - 1| - 1) - 1) - 1 between the vertical lines x = 1.1 and x = 1.6. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1|(-2sin(3π(3x + 2) - 1) + 2) - 2| - 3 and g(x) = -5(-2sin(1πx) + 3)^2 + 3(-2sin(1πx) + 3) + 2 from x = 2.3 to x = 2.7. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -2cos(2π(2((-1(1x^2 - 4x + 5))/(1(1x^2 - 4x + 5) + 2)) + 1)) + 1, g(x) = -3|(3((-1x - 2)/(-2x + 3))^2 + 3((-1x - 2)/(-2x + 3)) - 2) - 2| + 2, x = 0.7, and x = 0.8. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(3e^(1(5x^2 + 5x + 2)) - 1) + 2)/(1(3e^(1(5x^2 + 5x + 2)) - 1)), g(x) = 3cos(2π(-2|x - 3| - 1) + 3) + 1, x = -3.6, and x = -3.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3sin(3π((3(-2|(3x - 5) + 1| - 1) - 3)/(3(-2|(3x - 5) + 1| - 1))) + 1) + 1 and g(x) = -1((1(1|x - 3| - 1) + 1)/(1(1|x - 3| - 1) + 1))^2 + 1((1(1|x - 3| - 1) + 1)/(1(1|x - 3| - 1) + 1)) between the vertical lines x = 1.4 and x = 2.0. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -3|(4((2x + 2)/(3x - 2)) - 1) + 1| + 2, g(x) = -3sin(1π(-5x - 5) + 1) - 3, x = -3.3, and x = -3.2. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(-1|(-1x^2 + 3x + 4) + 3| + 1) + 3 and g(x) = (-1(-5x - 4) + 2)/(1(-5x - 4)) between the vertical lines x = -1.8 and x = -1.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3(1((-2(-1|x - 1| + 3) + 1)/(-3(-1|x - 1| + 3) - 3))^2 + 4((-2(-1|x - 1| + 3) + 1)/(-3(-1|x - 1| + 3) - 3)) - 1) + 2, g(x) = -3e^(-1(1(1|x + 1| + 1)^2 + 4(1|x + 1| + 1) + 5)), x = 1.5, and x = 4.8. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -2(1sin(1π(-3x - 2) + 1) - 1)^2 + 5(1sin(1π(-3x - 2) + 1) - 1) + 4 and g(x) = -2sin(2π(-5x^2 + 4x - 4) - 1) + 1 from x = -0.6 to 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) = -3cos(1π(3|(4((-2x + 1)/(2x - 3)) - 2) + 2| - 2) - 2) + 3 and g(x) = (-1(-1e^(-2(4x - 2))))/(2(-1e^(-2(4x - 2))) - 3) from x = 2.3 to x = 2.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1(5(-2|((2x - 2)/(1x - 2)) + 3|) + 2)^2 + 2(5(-2|((2x - 2)/(1x - 2)) + 3|) + 2) + 1 and g(x) = 3|(-1(3x^2 + 4x - 5) - 5) + 2| + 3 from x = 1.5 to x = 1.7. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-1((2x - 2)/(3x - 2)) - 1)| + 1 and g(x) = -2((-1x + 2)/(-1x - 2))^2 - 5((-1x + 2)/(-1x - 2)) + 1 between the vertical lines x = -1.0 and x = 3.6. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -4(2sin(2π(5x) - 3) + 1)^2 - 2(2sin(2π(5x) - 3) + 1) + 2, g(x) = 5(1cos(2πx)), x = -3.5, and x = -3.4. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3e^(-2(2|(-1((-3x - 3)/(-3x - 2))^2 + 1((-3x - 3)/(-3x - 2)) + 5) - 1| + 1)) + 2 and g(x) = 3|((-2(-3x^2 + 2x + 4) + 1)/(-3(-3x^2 + 2x + 4) - 2)) + 3| + 1 from x = -0.9 to x = 1.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 4(3(1|x + 2| - 3)^2 + 4(1|x + 2| - 3) - 4) - 1 and g(x) = 2|(-2x^2 - 5x + 4) - 1| + 1 from x = -1.4 to x = 2.9. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(-1|(-5x^2 + 4x - 2)|) - 5, g(x) = -2(-2cos(3πx - 3)) - 5, x = 0.4, and x = 0.9. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(5(1x + 3)^2 + 1(1x + 3) - 3) - 1)/(-1(5(1x + 3)^2 + 1(1x + 3) - 3) + 2) and g(x) = -1(2x + 4)^2 - 2(2x + 4) + 2 between the vertical lines x = -4.1 and x = -3.3. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 2(2|(3x^2 - 3x - 1)| - 3) + 1, g(x) = -3(-3cos(2πx - 1) - 1)^2 - 3(-3cos(2πx - 1) - 1) - 2, x = -0.1, and x = 1.4. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 4(-4(-2cos(1πx - 3) - 1)^2 - 3(-2cos(1πx - 3) - 1) - 4) - 3, g(x) = -5(1cos(1πx - 1) + 3)^2 - 4(1cos(1πx - 1) + 3) - 5, x = 3.4, and x = 4.7. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1((-2(-3x - 5) - 2)/(-3(-3x - 5) + 1))^2 - 1((-2(-3x - 5) - 2)/(-3(-3x - 5) + 1)) - 1 and g(x) = (3(-5x + 5) - 1)/(-3(-5x + 5) - 1) between the vertical lines x = -1.4 and x = 1.6. Round to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(2|(1((2x - 1)/(2x + 2))^2) - 1| + 1) - 1 and g(x) = (2(-2|(2e^(2x) - 3) - 2| + 2) + 2)/(-1(-2|(2e^(2x) - 3) - 2| + 2) - 2) between the vertical lines x = 0.2 and x = 0.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1(3(1|x| - 2) + 2)^2 - 2(3(1|x| - 2) + 2) - 3) + 1)/(2(-1(3(1|x| - 2) + 2)^2 - 2(3(1|x| - 2) + 2) - 3) - 1), g(x) = -3cos(1π((-1(-3x - 2) + 3)/(-1(-3x - 2))) + 1) - 3, 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(2|((-1(-3x^2 - 5x + 1) + 2)/(-1(-3x^2 - 5x + 1) - 1)) + 1| + 3) + 3, g(x) = -3|((1(5x^2 + 5x - 3) - 3)/(-1(5x^2 + 5x - 3) - 1)) - 1| + 1, x = -1.4, and x = 0.3. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(-5(2|(3x^2 + 4x + 3) + 1| - 3) + 4) - 3)/(3(-5(2|(3x^2 + 4x + 3) + 1| - 3) + 4) + 1) and g(x) = -1e^(-2(-1|((2x + 2)/(2x + 3)) - 2|)) + 3 from x = -3.1 to x = -1.8. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(2e^(1(3|(1x^2 - 4x + 4) - 2| - 1)) - 3) + 2)/(-3(2e^(1(3|(1x^2 - 4x + 4) - 2| - 1)) - 3) + 2) and g(x) = (2(-1(-3e^(-1x) - 3)))/(-2(-1(-3e^(-1x) - 3))) from x = 3.2 to x = 3.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2|(3e^(-1((-2(1x - 4) - 2)/(-3(1x - 4) + 4))) + 3) + 1| + 2, g(x) = (3(-3(-2sin(1πx - 2) - 3) - 4) - 1)/(-2(-3(-2sin(1πx - 2) - 3) - 4) + 3), x = -2.2, and x = -1.6. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2|((-2(-5x - 1) - 2)/(3(-5x - 1) + 3)) + 2|, g(x) = -1|(-5x + 4) - 1| + 1, x = -0.1, and x = 1.3. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 5(-1e^(1(5((2x + 1)/(2x))^2 + 3((2x + 1)/(2x)) - 2)) + 3) - 1 and g(x) = -3(-3e^(-2((1x + 2)/(1x + 3))) + 2)^2 + 1(-3e^(-2((1x + 2)/(1x + 3))) + 2) + 3 from x = -2.4 to x = -1.0. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(-1|((-2x - 3)/(1x))| + 1)^2 - 3(-1|((-2x - 3)/(1x))| + 1) + 4 and g(x) = (1(2|x|) - 1)/(-2(2|x|) + 3) between the vertical lines x = 0.8 and x = 2.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1((-3(2x - 3) - 3)/(1(2x - 3) + 2))^2 and g(x) = (2(3sin(1πx - 1) - 1) - 1)/(3(3sin(1πx - 1) - 1) - 2) from x = 3.1 to x = 4.5. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 5(-2|(-1x - 4)|)^2 + 1(-2|(-1x - 4)|) - 1, g(x) = -2sin(3π(1x - 3) - 2), x = -4.4, and x = -4.1. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1(5(-2cos(3πx + 2) - 3) + 4))/(-3(5(-2cos(3πx + 2) - 3) + 4) - 1), g(x) = (2(3cos(3πx + 1) - 1) + 3)/(2(3cos(3πx + 1) - 1) + 1), x = -4.3, and x = -3.9. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3((1(1|(-1x - 1) + 3| + 1) - 3)/(2(1|(-1x - 1) + 3| + 1) + 3))^2 + 3((1(1|(-1x - 1) + 3| + 1) - 3)/(2(1|(-1x - 1) + 3| + 1) + 3)) - 2 and g(x) = (-3(2(-1x^2 - 5x) + 5) - 1)/(2(2(-1x^2 - 5x) + 5) + 1) between the vertical lines x = -1.9 and x = 0.5. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2((2(2|x + 3| - 1) + 1)/(3(2|x + 3| - 1) - 1)) - 4 and g(x) = -5(2x - 5)^2 + 3 between the vertical lines x = 2.0 and x = 3.0. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(-2(-5x^2 + 4x + 4) - 2) - 1| - 3 and g(x) = (-3(-3cos(3πx - 3) + 3) - 1)/(-1(-3cos(3πx - 3) + 3) + 2) from x = 3.5 to x = 3.8. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (3(1(-2|(1sin(3πx - 2) + 2) + 2| + 1) + 4) - 2)/(2(1(-2|(1sin(3πx - 2) + 2) + 2| + 1) + 4) - 1), g(x) = (1(-2|(-2cos(2πx + 2) - 3) + 2| + 2) - 3)/(-3(-2|(-2cos(2πx + 2) - 3) + 2| + 2) + 2), x = -1.6, and x = -1.0. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 2|(1(2sin(3πx + 3))^2 + 3(2sin(3πx + 3)) + 3)| - 2 and g(x) = 4(2sin(2πx - 2) + 1)^2 + 5(2sin(2πx - 2) + 1) + 5 from x = -4.7 to x = -4.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(-1|(-4(-5x - 1)^2 - 5(-5x - 1) - 2) + 3| - 1))/(2(-1|(-4(-5x - 1)^2 - 5(-5x - 1) - 2) + 3| - 1) - 3) and g(x) = (3(-1(3|x + 3| - 2)^2 + 5) - 2)/(1(-1(3|x + 3| - 2)^2 + 5) + 1) from x = -4.4 to x = -1.6. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1(-2sin(3π(-2x^2 + 3x + 3)) + 2) + 3 and g(x) = 2sin(2π(-2x - 1) - 2) - 2 from x = -4.3 to x = -4.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2sin(2π(-3|((2x - 2)/(-3x)) + 1| + 1) + 2) - 3, g(x) = (2(-2cos(3πx) - 2))/(-2(-2cos(3πx) - 2) - 3), x = 2.8, and x = 3.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2((3(5(2|x - 1| + 2)^2 - 1(2|x - 1| + 2) - 3) - 2)/(-1(5(2|x - 1| + 2)^2 - 1(2|x - 1| + 2) - 3) - 1)) + 1, g(x) = -1((2(4x^2 + 5x - 5) - 2)/(-3(4x^2 + 5x - 5) + 4)) + 2, x = -2.0, and x = 0.8. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|(4(-1cos(1π(4x^2 + 5x + 2) + 2)) + 2) + 2| + 1 and g(x) = 3((-3(2cos(1πx - 2) - 3) - 3)/(3(2cos(1πx - 2) - 3) - 1)) - 3 between the vertical lines x = -3.8 and x = -3.6999999999999997. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(-1|((2x + 2)/(3x))| - 1)^2 + 3(-1|((2x + 2)/(3x))| - 1) - 2 and g(x) = -3((-1x + 2)/(2x + 3))^2 + 2((-1x + 2)/(2x + 3)) - 2 between the vertical lines x = -2.9 and x = -0.8. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 1((-1(-1|(-4x^2 - 1x + 5) + 2| + 1) - 1)/(-1(-1|(-4x^2 - 1x + 5) + 2| + 1) - 2)) - 2 and g(x) = (1(1e^(-1(2x^2 + 3x - 2)) + 2) - 2)/(-3(1e^(-1(2x^2 + 3x - 2)) + 2) + 2) from x = -0.9 to x = 0.7. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 4(4(-3cos(3π((-2x - 3)/(2x - 3)) + 1)) + 1)^2 - 2(4(-3cos(3π((-2x - 3)/(2x - 3)) + 1)) + 1) + 4 and g(x) = 3|((3(1x - 4))/(-3(1x - 4) - 1)) + 1| - 3 from x = 3.7 to x = 3.8000000000000003. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(5(-1(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 2) - 2) - 3)/(-2(5(-1(-1|x + 2| + 2)^2 + 4(-1|x + 2| + 2) + 2) - 2)) and g(x) = 1|(-5((2x + 2)/(3x)) + 1) + 3| + 1 from x = -4.3 to x = 0.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|((2(-2(4x - 4)^2 - 4(4x - 4) + 5) + 3)/(3(-2(4x - 4)^2 - 4(4x - 4) + 5))) - 3| - 2 and g(x) = -1|(-4(-1x - 3)^2 - 1(-1x - 3) - 1) - 2| - 1 between the vertical lines x = -2.6 and x = 1.2. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(3(-5(1|x + 2| + 3)^2 + 4) + 2) - 2)/(3(3(-5(1|x + 2| + 3)^2 + 4) + 2) - 2), g(x) = (3(-1(-2|x - 2|)^2 + 4(-2|x - 2|) + 1) + 1)/(-3(-1(-2|x - 2|)^2 + 4(-2|x - 2|) + 1) - 3), x = 1.9, and x = 2.1. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 5(-3(3|x - 1| - 3) + 2)^2 - 2(-3(3|x - 1| - 3) + 2) + 4, g(x) = -3(-1x^2 + 2x - 4) + 4, x = 2.0, and x = 2.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((-2(2sin(1π(2|x + 2| + 1) + 2) + 3) + 1)/(3(2sin(1π(2|x + 2| + 1) + 2) + 3) + 1)) + 1 and g(x) = 4((2(-3|x| + 3))/(-3(-3|x| + 3) + 1)) + 4 between the vertical lines x = 2.3 and x = 2.7. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((-3(1x^2 + 5x + 2) + 1)/(2(1x^2 + 5x + 2) - 1)) - 5 and g(x) = -3|(1x + 5) - 1| - 1 between the vertical lines x = -3.2 and x = -0.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3|((-1(1x + 5) + 3)/(1(1x + 5) - 2)) + 3| + 2, g(x) = 1(-2e^(1x) + 1) + 2, x = -3.6, and x = -3.4. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(5(-3x^2 + 3x - 1) - 4) + 2| + 2 and g(x) = 2(-2|x + 3| + 3) - 2 between the vertical lines x = -0.1 and x = 1.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(1(-1x - 3)^2 - 3(-1x - 3) - 5))/(-2(1(-1x - 3)^2 - 3(-1x - 3) - 5) - 3) and g(x) = 1sin(2π((-2x + 2)/(-2x - 1)) + 2) + 2 between the vertical lines x = -3.1 and x = -2.3. Round to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((1(-3|(4x + 3) + 1| + 3) - 1)/(2(-3|(4x + 3) + 1| + 3) + 2))^2 - 1((1(-3|(4x + 3) + 1| + 3) - 1)/(2(-3|(4x + 3) + 1| + 3) + 2)) - 5 and g(x) = (-3(-5(3cos(3πx - 1) + 1) - 4) + 3)/(-3(-5(3cos(3πx - 1) + 1) - 4)) between the vertical lines x = -2.8 and x = -2.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1(-2cos(1π(2|(-1x^2 + 3x + 5) - 1| - 3) + 2) - 2) - 1, g(x) = -2|(1((-2x + 2)/(2x))^2 + 3((-2x + 2)/(2x)) + 5) - 3| + 1, x = -4.7, and x = -4.6. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(1|(-2cos(2πx + 2) + 3) - 1| - 3) + 3)/(1(1|(-2cos(2πx + 2) + 3) - 1| - 3) + 2) and g(x) = 3|(-2x - 1) - 3| - 2 between the vertical lines x = 2.5 and x = 2.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-5(5x + 5)^2 + 3(5x + 5) - 4) - 1)/(-2(-5(5x + 5)^2 + 3(5x + 5) - 4) - 3) and g(x) = (2(5x^2 - 5x + 4) - 2)/(-3(5x^2 - 5x + 4) + 2) between the vertical lines x = -1.2 and x = -0.7. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1(-3sin(1πx + 3) + 1)^2 - 5(-3sin(1πx + 3) + 1) + 2) - 1)/(-1(-1(-3sin(1πx + 3) + 1)^2 - 5(-3sin(1πx + 3) + 1) + 2) - 3), g(x) = 3e^(-2(1x^2 - 5x + 4)) + 1, x = -0.8, and x = -0.1. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-2|(3x^2 - 4x - 1) - 2| + 2) and g(x) = -3((2x)/(-3x - 2))^2 + 1((2x)/(-3x - 2)) - 3 between the vertical lines x = 1.8 and x = 2.0. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-1(2|((2x + 3)/(1x + 2)) + 3|) + 2)^2 + 1(-1(2|((2x + 3)/(1x + 2)) + 3|) + 2) - 2 and g(x) = -1((3(-2sin(2πx + 3) + 1) + 2)/(-3(-2sin(2πx + 3) + 1) + 2))^2 + 2((3(-2sin(2πx + 3) + 1) + 2)/(-3(-2sin(2πx + 3) + 1) + 2)) + 5 between the vertical lines x = -1.8 and x = -1.7. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-3(3(2sin(2π(-1|x - 2| - 3) - 2) + 3) + 3) - 3)/(-2(3(2sin(2π(-1|x - 2| - 3) - 2) + 3) + 3) + 3), g(x) = 1sin(3π(1(2x + 5)^2 - 2(2x + 5) + 1) - 3) + 1, x = 2.5, and x = 2.6. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1(-1sin(1π((2x - 3)/(1x - 3)) + 1))^2 - 5 and g(x) = -5(-4x - 1)^2 - 2(-4x - 1) - 2 from x = -0.4 to x = 0.0. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(4(3cos(3π(-1x^2 - 5x - 5) - 1) + 3) - 2) + 1)/(3(4(3cos(3π(-1x^2 - 5x - 5) - 1) + 3) - 2)) and g(x) = 1cos(1π(-2((1x - 3)/(3x)) - 5) - 1) - 3 from x = -2.2 to x = -2.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1(-1|(-3sin(1πx + 1))| + 1))/(3(-1|(-3sin(1πx + 1))| + 1) - 1), g(x) = 3e^(-2(-1|x - 2|)) + 2, x = 1.6, and x = 1.8. Round your answer to 1 decimal place.

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -5((-3(5x^2 - 3x - 1) - 3)/(1(5x^2 - 3x - 1) + 3)) - 5, g(x) = 5(-1|x + 1|), x = 0.0, 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) = 2cos(1π((2(-4x^2 - 3x + 4) + 1)/(2(-4x^2 - 3x + 4) - 1)) + 2) - 2, g(x) = 1|(3x^2 + 5x - 2) + 1| - 1, x = 0.0, and x = 0.3. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-3(-2|(-2cos(3πx - 1) + 2) - 1| + 3) + 5)^2 + 4(-3(-2|(-2cos(3πx - 1) + 2) - 1| + 3) + 5) - 1 and g(x) = (1(1(-2x + 1)^2 + 3(-2x + 1) - 3))/(-2(1(-2x + 1)^2 + 3(-2x + 1) - 3) + 3) between the vertical lines x = -4.7 and x = -4.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2(1|(-3(2cos(3πx + 2) + 3) + 5) + 2|)^2 + 5(1|(-3(2cos(3πx + 2) + 3) + 5) + 2|) - 4 and g(x) = -3sin(3π(-5((-2x + 2)/(-1x + 2))^2 - 2((-2x + 2)/(-1x + 2)) - 2) + 2) - 2 from x = 1.6 to x = 1.7000000000000002. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((-3(3x^2 + 5x - 3) - 2)/(-1(3x^2 + 5x - 3) - 2)) - 2| - 3 and g(x) = 2(3x - 5)^2 - 4(3x - 5) - 2 between the vertical lines x = 0.2 and x = 1.7. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(-1e^(-1(1x - 2)) - 1) + 1| + 1 and g(x) = -3|((-3x + 1)/(-2x)) - 3| - 2 between the vertical lines x = 0.1 and x = 0.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|((1(-1(-2cos(1πx - 1) + 3)^2 + 3(-2cos(1πx - 1) + 3) + 2) + 1)/(1(-1(-2cos(1πx - 1) + 3)^2 + 3(-2cos(1πx - 1) + 3) + 2) + 3)) + 3| - 3 and g(x) = 2|(1((-1x + 1)/(-2x)) - 3) + 2| + 2 between the vertical lines x = 3.6 and x = 3.7. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1((-2(-2|x + 3| + 1) - 1)/(1(-2|x + 3| + 1) - 2))^2 + 2((-2(-2|x + 3| + 1) - 1)/(1(-2|x + 3| + 1) - 2)) and g(x) = 1cos(3π((2x)/(-3x + 1)) - 3) - 2 from x = -4.9 to x = -3.0. Round to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-2|((-3x + 2)/(1x + 1)) + 2| + 3) - 5 and g(x) = -5((1x + 2)/(3x + 1)) + 3 between the vertical lines x = -0.3 and x = 1.5. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(-1(2|x + 2| - 3) + 3))/(-2(-1(2|x + 2| - 3) + 3) + 3) and g(x) = 2(-1cos(3πx - 2) - 3) + 5 between the vertical lines x = -4.9 and x = -4.6. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((-2(-1|(1x^2 + 4x - 4) + 3| - 1))/(-2(-1|(1x^2 + 4x - 4) + 3| - 1))) + 1 and g(x) = (3(-4(1|x - 1| - 1) + 1) - 3)/(1(-4(1|x - 1| - 1) + 1) + 3) between the vertical lines x = 0.0 and x = 2.0. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-2cos(3π(2|x + 1| + 2) + 2) + 1) - 1 and g(x) = 3(1x^2 - 4x + 1) - 4 between the vertical lines x = -0.0 and x = 4.1. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 4((1(3cos(3πx - 3) + 3) - 1)/(-2(3cos(3πx - 3) + 3))) - 1, g(x) = 3|(-1x^2 - 5x - 3) + 2| - 3, x = 4.0, and x = 4.1. Round your answer to 1 decimal place.

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


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

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (3(-1(-2(1|x - 1|) + 3)^2 - 4(-2(1|x - 1|) + 3) - 4) + 2)/(-2(-1(-2(1|x - 1|) + 3)^2 - 4(-2(1|x - 1|) + 3) - 4) + 3), g(x) = (-3(4(-3sin(3πx - 2) - 1)^2 + 2(-3sin(3πx - 2) - 1) - 4) + 2)/(-2(4(-3sin(3πx - 2) - 1)^2 + 2(-3sin(3πx - 2) - 1) - 4) + 1), x = -2.1, and x = -1.8. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (3(2(-1|(3x^2 - 4x) + 2| + 2) - 1) - 3)/(-1(2(-1|(3x^2 - 4x) + 2| + 2) - 1) + 3), g(x) = (2(-2(-2sin(2πx - 3) + 3) + 5) - 2)/(1(-2(-2sin(2πx - 3) + 3) + 5)), x = 3.5, and x = 3.9. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 1((-2(-2(2cos(1πx + 3) - 2)^2 - 2(2cos(1πx + 3) - 2) - 4) - 1)/(-2(-2(2cos(1πx + 3) - 2)^2 - 2(2cos(1πx + 3) - 2) - 4) - 1)) and g(x) = -3(5((-3x - 3)/(3x + 1))^2 - 2((-3x - 3)/(3x + 1)) - 3) from x = -1.8 to x = -0.7. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3|(-1(-1cos(3π(-1x^2 + 3x) + 2) + 3) - 2) + 1| + 2 and g(x) = 5(-3e^(1(-1x^2 - 2x + 1))) + 5 from x = -2.5 to x = -2.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2((3(-3cos(1π(2x^2 + 3x + 2) + 2) - 1) - 2)/(-2(-3cos(1π(2x^2 + 3x + 2) + 2) - 1) - 1)) - 2 and g(x) = 1|(-1cos(2π(2x) - 3) + 2) + 2| + 3 between the vertical lines x = 3.2 and x = 3.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-4(2|x + 1| + 1)^2 + 5(2|x + 1| + 1) + 1) - 1 and g(x) = -3|(-2cos(2πx - 2) - 2) + 3| + 2 between the vertical lines x = -1.4 and x = -0.9. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(-3|((-3x + 3)/(3x + 2)) - 1|) + 2, g(x) = (2(-3cos(2πx - 1) - 2) + 3)/(1(-3cos(2πx - 1) - 2)), x = -4.2, and x = -3.4. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(2(-3x^2 + 2x + 4) + 1) + 2)/(1(2(-3x^2 + 2x + 4) + 1)) and g(x) = -3cos(2π(3|x + 3|) + 1) + 3 between the vertical lines x = -0.8 and x = -0.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 4(3(3sin(2π((1x - 1)/(1x + 1)) - 2))^2 + 5(3sin(2π((1x - 1)/(1x + 1)) - 2)) + 4) and g(x) = 1|(-2(3x^2 + 5x - 5) + 3) - 3| - 1 from x = -0.9 to x = -0.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3cos(1π(3(-2|(-5x^2 - 4x - 2) - 2| + 2) - 2) + 1) + 2 and g(x) = -1cos(2π(-1|((-2x - 1)/(-3x - 1)) - 2| + 2) + 3) - 1 between the vertical lines x = 0.2 and x = 0.30000000000000004. 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(1e^(-1(-1(-1|x + 2| + 2) + 4)) + 2) + 2)/(3(1e^(-1(-1(-1|x + 2| + 2) + 4)) + 2) - 2) and g(x) = -2(2cos(2π(2x + 2)))^2 - 3(2cos(2π(2x + 2))) + 1 between the vertical lines x = 2.9 and x = 3.1. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = 4(3((-3(-2|x - 3| + 1) + 1)/(-3(-2|x - 3| + 1) - 3)))^2 + 3 and g(x) = 3|(2sin(1π(-4x) - 2)) - 1| - 1 from x = 3.4 to x = 3.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(4(-3e^(-1(1x^2 + 1x)) + 2) + 3) - 1)/(-1(4(-3e^(-1(1x^2 + 1x)) + 2) + 3) + 3) and g(x) = -1((1(2|x - 2| + 1) - 3)/(-2(2|x - 2| + 1) - 1))^2 + 2((1(2|x - 2| + 1) - 3)/(-2(2|x - 2| + 1) - 1)) + 3 from x = 1.1 to x = 3.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (2(-2e^(-2(-3|x| + 3))) + 1)/(-3(-2e^(-2(-3|x| + 3))) + 2) and g(x) = 1cos(3π(-3x^2 - 2x) - 2) + 1 between the vertical lines x = -0.7 and x = -0.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3(-2cos(3π(3|x - 2| - 2) + 1) - 3)^2 + 3(-2cos(3π(3|x - 2| - 2) + 1) - 3) - 3 and g(x) = -1|(-1e^(1x) + 2) - 1| + 2 from x = -5.0 to x = -4.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3((1(-3(1|x + 1|) + 3) + 2)/(-1(-3(1|x + 1|) + 3) - 2))^2 - 3((1(-3(1|x + 1|) + 3) + 2)/(-1(-3(1|x + 1|) + 3) - 2)) - 5 and g(x) = -2cos(1π(-1(-1|x + 1|) - 4) - 2) + 2 between the vertical lines x = -1.3 and x = -0.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1(-4(-3|(5x^2 - 1x - 3) + 1| + 1) - 5) - 2)/(-1(-4(-3|(5x^2 - 1x - 3) + 1| + 1) - 5) + 2), g(x) = 3sin(2π(-1(-3|x| + 1) - 4)) - 3, x = -4.7, and x = -4.5. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3|(5(-3cos(3πx + 3) - 1) - 3) - 3| - 1 and g(x) = (3(-2sin(1πx - 2)) + 3)/(-3(-2sin(1πx - 2)) - 1) from x = 0.8 to x = 0.9. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -3((-2(2|x + 1| - 1))/(-3(2|x + 1| - 1) + 1)) + 1 and g(x) = 4(-2sin(3πx + 3) + 2) + 3 from x = -1.6 to x = -0.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(3cos(1π(3x - 3) - 1) + 2) - 2)/(3(3cos(1π(3x - 3) - 1) + 2)) and g(x) = -1(-1x^2 - 1x - 4) + 4 from x = -4.5 to x = -4.0. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -5(2((3(3sin(1πx - 2) - 2))/(1(3sin(1πx - 2) - 2) - 2))^2 - 2) - 3, g(x) = -2|((-2(1x^2 + 1x + 3) + 1)/(-2(1x^2 + 1x + 3) - 3)) + 2| + 3, x = -1.0, 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) = 1cos(2π(-1((-1x + 1)/(-2x - 2)) - 1)) + 2, g(x) = 4(-5x - 1)^2 + 5(-5x - 1) - 3, x = -0.4, and x = 0.2. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1|((2(-4x + 3) + 1)/(-2(-4x + 3) + 3)) + 2| and g(x) = (1(3sin(1πx + 3) - 3) - 1)/(-1(3sin(1πx + 3) - 3) + 2) from x = -2.0 to x = 0.1. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2|((-1(2e^(-1x) - 1) - 3)/(2(2e^(-1x) - 1))) + 1| + 3 and g(x) = -1|(-1x^2 - 5x) - 1| - 3 between the vertical lines x = 0.4 and x = 1.0. Round to 1 decimal place.

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


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

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


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

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 3(-1sin(3π(3|(-3x) - 1| + 1) + 3) - 2)^2 + 5(-1sin(3π(3|(-3x) - 1| + 1) + 3) - 2) - 3 and g(x) = -2(-2e^(-1((-3x + 3)/(-1x + 2))) + 1)^2 + 2(-2e^(-1((-3x + 3)/(-1x + 2))) + 1) - 1 between the vertical lines x = 4.3 and x = 4.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2((-2(-2|x + 2| - 1) + 3)/(1(-2|x + 2| - 1) - 3)) + 1 and g(x) = -1((3x - 3)/(2x - 3)) + 5 between the vertical lines x = -2.3 and x = -1.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3(5(-3sin(2π(2|x + 3|) + 1) + 2) + 2)^2 - 2(5(-3sin(2π(2|x + 3|) + 1) + 2) + 2) - 2 and g(x) = (-2(-3|(4x^2 - 1x) + 1| + 1) - 2)/(-2(-3|(4x^2 - 1x) + 1| + 1) + 3) from x = 4.1 to x = 4.199999999999999. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(-2|(3(-2sin(2πx + 3) + 2)^2 + 4(-2sin(2πx + 3) + 2) - 5) + 2|) + 1)/(2(-2|(3(-2sin(2πx + 3) + 2)^2 + 4(-2sin(2πx + 3) + 2) - 5) + 2|) + 2) and g(x) = -1(-2(1cos(2πx + 1) + 1) - 3)^2 + 2(-2(1cos(2πx + 1) + 1) - 3) + 5 from x = 2.6 to x = 2.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1(-3|(-1cos(3πx - 2) - 2) - 1| - 1) - 3 and g(x) = 3|(-1e^(2x) + 3) + 2| + 2 from x = 0.7 to x = 1.0. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1|((-1(1x^2 - 4x - 5))/(-2(1x^2 - 4x - 5) - 1)) + 1| + 3, g(x) = (-1(-3sin(2πx - 1) - 2) + 2)/(-2(-3sin(2πx - 1) - 2) - 2), x = -4.9, and x = -4.3. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3e^(2(-3(-1x^2 + 4x + 4) - 4)) + 1, g(x) = 1cos(3π(-3|x + 2| - 2) + 3) + 1, x = 1.3, and x = 1.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 5(-3|((2(-2x + 1) - 2)/(1(-2x + 1) - 2)) - 1|)^2 - 4(-3|((2(-2x + 1) - 2)/(1(-2x + 1) - 2)) - 1|) - 5 and g(x) = -1(2cos(1π(-4x - 1) + 2) + 1)^2 + 3(2cos(1π(-4x - 1) + 2) + 1) + 4 between the vertical lines x = 0.2 and x = 1.1. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|(-1((-2(-5x - 5) - 2)/(-2(-5x - 5) - 1))^2 - 5((-2(-5x - 5) - 2)/(-2(-5x - 5) - 1)) + 3) + 3| + 1 and g(x) = 1cos(3π(-2|((-1x - 3)/(3x + 3)) - 3| + 1) + 2) + 2 between the vertical lines x = 0.8 and x = 3.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-3(1|(2x^2 + 1x + 2)| - 3) + 1)/(-1(1|(2x^2 + 1x + 2)| - 3) + 2), g(x) = (2(-1e^(2x) + 2) + 2)/(2(-1e^(2x) + 2) - 3), x = -1.8, and x = 0.6. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -3((2(-5x^2 - 5x - 1) - 3)/(-2(-5x^2 - 5x - 1))) - 4, g(x) = 2|(-3x^2 - 2x + 4)| + 3, x = -0.9, and x = -0.2. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-2(-2|x + 2| + 1) - 1) - 3)/(-3(-2(-2|x + 2| + 1) - 1)) and g(x) = -2sin(3π(5x + 2) - 1) - 3 between the vertical lines x = -2.7 and x = -1.4. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3cos(1π(-1|((-3(1x^2) + 3)/(-1(1x^2) - 3)) + 3| + 2) - 2) + 2, g(x) = 2sin(1π((-2(5x^2 - 3x - 4) + 3)/(-3(5x^2 - 3x - 4) + 2)) + 3) + 1, x = 1.4, and x = 3.7. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-1e^(-2(-2(-4x + 2)^2 - 4(-4x + 2) + 3)) + 2) - 1)/(3(-1e^(-2(-2(-4x + 2)^2 - 4(-4x + 2) + 3)) + 2) - 2), g(x) = (3(3(3|x - 2| - 1)^2 - 1(3|x - 2| - 1) - 5))/(2(3(3|x - 2| - 1)^2 - 1(3|x - 2| - 1) - 5) - 1), x = 1.2, and x = 2.8. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -2(-4(-3|((-2x)/(2x - 1)) + 2| + 2)^2 + 2(-3|((-2x)/(2x - 1)) + 2| + 2) + 3) + 1, g(x) = 1|((-1(-1x^2 + 4x + 4) + 3)/(-2(-1x^2 + 4x + 4) + 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) = 1|(-4(3e^(1(-1x^2 + 3x - 4)) - 1) - 4) + 3| - 3, g(x) = 2sin(3π(-3(1x^2 + 4x - 3) + 4) + 1), x = -4.8, and x = -4.7. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1(3sin(2π((3x)/(-1x + 2)) + 1) - 1)^2 - 2 and g(x) = 2|(-2sin(2πx + 1) - 3) + 1| - 3 from x = 2.7 to x = 3.6. Round to 1 decimal place.

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


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

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 3|((-2(-1x^2 + 2x + 2))/(-3(-1x^2 + 2x + 2) - 1)) - 3| - 3, g(x) = 1|(1e^(-1x) - 3) - 2| - 1, x = -2.3, and x = -0.9. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1cos(3π(-1|(2x + 2)| - 1) + 1) - 2 and g(x) = -3(3x^2 + 4x - 5) from x = -2.2 to x = 0.9. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(-1((1x + 3)/(-3x)))^2 + 2(-1((1x + 3)/(-3x))) + 4, g(x) = 5(1x^2 + 3x + 2) - 2, x = -2.7, and x = -0.7. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(1|(3x - 5) - 3| - 3) + 1)/(-3(1|(3x - 5) - 3| - 3) + 1) and g(x) = 2(-3x - 2)^2 + 3(-3x - 2) from x = -0.7 to x = -0.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -4(2|(1x - 1) - 3| - 2)^2 - 1(2|(1x - 1) - 3| - 2), g(x) = 3|(2sin(2πx - 2) - 2) + 2| - 1, x = 2.8, and x = 4.8. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2|(3(-3x + 5)^2 - 2(-3x + 5) + 1) + 1| - 1 and g(x) = (1(1cos(2πx + 1)) + 3)/(-2(1cos(2πx + 1)) - 1) from x = 0.5 to x = 1.2. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 2sin(1π(3(3|((3x + 1)/(-1x - 3)) + 3| - 3)^2 - 1(3|((3x + 1)/(-1x - 3)) + 3| - 3))), g(x) = 2sin(1π((-1(1x + 5) + 1)/(-1(1x + 5) + 3)) - 1) + 2, x = -4.2, and x = -4.1000000000000005. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 1cos(1π(-3|((1(-2x^2 - 2x + 3) - 1)/(3(-2x^2 - 2x + 3) + 2)) + 3| + 2) + 3) + 1, g(x) = 4(-1|((1x + 1)/(3x - 2))| + 2) - 2, x = 0.3, and x = 1.4. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1sin(3π(-2|(-5x^2 + 1x + 2) + 3| + 2) - 2) - 2 and g(x) = 5((2x - 3)/(2x + 1))^2 + 1((2x - 3)/(2x + 1)) - 4 from x = 2.9 to x = 3.0. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1|(-3(5((1x + 1)/(-2x - 3))^2) + 2) - 3| + 2 and g(x) = -4(-2|(-3sin(1πx - 2) - 3) - 2| + 2) + 5 from x = -2.0 to x = -1.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1(-3|(4((2x)/(-2x))^2 + 5((2x)/(-2x)) + 3) + 1| + 3) + 2 and g(x) = 5((-3(3cos(3πx + 2)) + 2)/(-3(3cos(3πx + 2)) - 3)) - 2 from x = -1.2 to x = -0.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(5(2|x - 2| - 3) - 2) - 3)/(-2(5(2|x - 2| - 3) - 2)), g(x) = -5(1|x - 1| - 3)^2 + 2(1|x - 1| - 3) + 2, x = 3.5, and x = 3.8. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3(2(2|(3cos(2πx - 1) - 1) + 2| - 2) - 3)^2 - 1(2(2|(3cos(2πx - 1) - 1) + 2| - 2) - 3) + 5 and g(x) = -5(-4(-2|x - 3| + 1)^2 + 4(-2|x - 3| + 1) + 5) - 5 from x = 3.0 to x = 3.3. Round to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = -1e^(-1((1(-3|(1x^2 + 5x + 4) + 2| + 1) + 2)/(3(-3|(1x^2 + 5x + 4) + 2| + 1) + 3))) and g(x) = -1|(-1(2cos(2πx + 2) - 2)^2 - 1) + 1| + 3 from x = -3.6 to x = -3.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -4(3sin(3π(1|x + 1|) + 3) + 1) - 2, g(x) = -1(-3|x + 3| + 2)^2 + 4(-3|x + 3| + 2) + 4, x = -4.3, and x = -4.0. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2(-1|(3((2x)/(-1x + 3))^2 + 5((2x)/(-1x + 3)) + 1) - 1|) - 4 and g(x) = -2(1sin(1π(-2|x + 2| + 1) + 2) + 3)^2 + 5(1sin(1π(-2|x + 2| + 1) + 2) + 3) + 2 from x = -3.7 to x = -3.5. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(-5(-2cos(2πx - 2) - 3) + 4) + 2)/(-3(-5(-2cos(2πx - 2) - 3) + 4)) and g(x) = (-1(-3sin(3πx - 3) + 1) + 3)/(-3(-3sin(3πx - 3) + 1) + 1) between the vertical lines x = 2.0 and x = 2.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1((-1(-4(-2|x - 3| + 2) - 5) + 2)/(2(-4(-2|x - 3| + 2) - 5) + 2))^2 - 4((-1(-4(-2|x - 3| + 2) - 5) + 2)/(2(-4(-2|x - 3| + 2) - 5) + 2)) + 1 and g(x) = -1((3(1cos(1πx - 3) + 2) + 1)/(2(1cos(1πx - 3) + 2) + 2))^2 - 4((3(1cos(1πx - 3) + 2) + 1)/(2(1cos(1πx - 3) + 2) + 2)) - 4 from x = 1.5 to x = 4.5. Round to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 3|((-2(4x^2 - 1x - 4))/(-2(4x^2 - 1x - 4) + 3)) - 1| - 2, g(x) = -5((-1x)/(3x + 1)) + 3, x = -0.2, and x = 1.2. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3(3cos(1π(-2|((-1x + 2)/(1x + 2))| + 2) - 3) + 3) - 4, g(x) = (-1(1|(2x^2 - 1x - 3) + 3|) - 3)/(2(1|(2x^2 - 1x - 3) + 3|) - 1), x = -2.6, and x = -2.5. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2(3|((-3x - 2)/(3x)) - 1| - 3) + 4, g(x) = (-3(-3x - 2) - 3)/(3(-3x - 2) - 1), x = -0.7, and x = -0.4. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(2|(-2x^2 - 2x - 4) + 2|) - 2 and g(x) = (3(-5x^2 - 4x) - 3)/(-2(-5x^2 - 4x)) between the vertical lines x = -0.6 and x = -0.2. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|((-2(-2sin(1π(-1x^2 - 1x - 3)) + 3) + 2)/(1(-2sin(1π(-1x^2 - 1x - 3)) + 3) + 3)) + 2| + 1 and g(x) = (-3(2(5x - 2)^2 - 1) - 3)/(-2(2(5x - 2)^2 - 1)) 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]
Determine the area of the region enclosed by the graphs of f(x) = -2(3((1(3|x - 2| - 2) + 2)/(2(3|x - 2| - 2) + 2)) + 3)^2 - 3(3((1(3|x - 2| - 2) + 2)/(2(3|x - 2| - 2) + 2)) + 3) + 4 and g(x) = -3((1(-3sin(3πx) - 1))/(-1(-3sin(3πx) - 1) - 2)) between the vertical lines x = 0.0 and x = 0.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1|(3cos(1π(1x + 5) - 2) - 1) + 2| + 2, g(x) = 1|(3cos(1πx - 1) + 3) - 3|, x = -3.0, and x = -1.2. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-1(3cos(1πx - 2)) + 5)^2 and g(x) = (-2(-3cos(3πx + 2) - 2) - 3)/(3(-3cos(3πx + 2) - 2) - 2) between the vertical lines x = 2.2 and x = 2.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 5(-1|(1x^2 + 3x - 2) - 2| + 3) - 4, g(x) = -1|(-3e^(-1x) - 3) + 3| - 1, x = 0.4, and x = 1.5. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1((3(1x^2 + 1x - 2) + 1)/(3(1x^2 + 1x - 2))) - 1, g(x) = -2cos(1π(1|x - 2| + 2) - 2) - 2, x = 0.8, and x = 1.1. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2((1(1|(-4x - 4) + 1| - 1) - 3)/(-3(1|(-4x - 4) + 1| - 1) + 4))^2 - 5((1(1|(-4x - 4) + 1| - 1) - 3)/(-3(1|(-4x - 4) + 1| - 1) + 4)) + 3 and g(x) = (3(3cos(1π(3x) + 2)) + 1)/(2(3cos(1π(3x) + 2)) + 3) from x = 0.7 to x = 0.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-3sin(1π((1(-5x + 5) + 1)/(2(-5x + 5) + 3)) - 1) + 1)| + 1 and g(x) = (2(-4(-1x)^2 + 2(-1x) + 5) - 2)/(3(-4(-1x)^2 + 2(-1x) + 5) + 2) between the vertical lines x = 1.0 and x = 1.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (3(2(-5x - 2)^2 - 4(-5x - 2) + 1) + 2)/(2(2(-5x - 2)^2 - 4(-5x - 2) + 1) - 1), g(x) = (3(2x^2 - 1x - 5) + 3)/(-1(2x^2 - 1x - 5) + 2), x = -0.7, and x = -0.5. Round your answer to 1 decimal place.

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 2((2(2|x + 3| + 1) - 3)/(-3(2|x + 3| + 1) - 3)) - 3, g(x) = -1cos(3π(1|x + 2| - 3) - 1) - 2, x = -3.2, and x = -3.0. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2cos(3π(-4(-2x^2 - 3x - 4) - 5) - 3) + 2 and g(x) = 3sin(1π(-4x^2 + 2x - 5) - 1) - 3 from x = 1.5 to x = 3.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2e^(1((-2(1|x + 2| - 1) - 1)/(3(1|x + 2| - 1) + 1))) + 3 and g(x) = -3((1x + 3)/(1x + 3)) + 1 from x = -2.6 to x = -1.4. Round to 1 decimal place.

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


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

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-3(1sin(2π(-2x^2 - 4x - 5) + 1)) - 3) + 2| and g(x) = (-1(-2|(1e^(1x)) + 2|) + 3)/(-1(-2|(1e^(1x)) + 2|) + 2) between the vertical lines x = 4.3 and x = 4.3999999999999995. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1sin(1π((2(-2|(2x - 5) + 2| + 3) - 2)/(-3(-2|(2x - 5) + 2| + 3) - 3)) + 3) + 3 and g(x) = (-2(-5(-3|x - 1|) - 5) - 2)/(3(-5(-3|x - 1|) - 5) + 1) between the vertical lines x = 0.7 and x = 1.3. Round to 1 decimal place.

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


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

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

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[User]
Calculate the area enclosed between the functions f(x) = (-3(3(-3(-1e^(2x))^2 + 2(-1e^(2x)) + 1) + 2))/(-2(3(-3(-1e^(2x))^2 + 2(-1e^(2x)) + 1) + 2) + 3) and g(x) = 5(1sin(3π(-1|x + 2| + 3) + 2))^2 - 4(1sin(3π(-1|x + 2| + 3) + 2)) - 5 from x = -3.3 to x = -2.8. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 3|((1(-3x - 4) + 1)/(1(-3x - 4) - 2)) - 2| - 2 and g(x) = 3cos(3π(-1x^2 - 3x) + 2) - 2 between the vertical lines x = -5.0 and x = -4.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-3(5(1|(-3x^2 + 2x + 5) - 3| + 3) - 5) + 2)/(-2(5(1|(-3x^2 + 2x + 5) - 3| + 3) - 5) - 2) and g(x) = 1(3|(-3x - 5) + 3| - 1)^2 - 5(3|(-3x - 5) + 3| - 1) + 4 between the vertical lines x = -0.5 and x = -0.1. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 4(-2|(2cos(3π((-2x - 1)/(1x + 1)) + 2) - 2)| + 3)^2 - 3(-2|(2cos(3π((-2x - 1)/(1x + 1)) + 2) - 2)| + 3) - 3 and g(x) = 1|((-2(1e^(-1x)) + 1)/(-2(1e^(-1x)) + 1)) - 3| + 1 between the vertical lines x = -1.2 and x = -1.0999999999999999. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 1(-1|((1(1x^2 + 4x + 1) + 2)/(2(1x^2 + 4x + 1) - 1)) - 3|) + 1 and g(x) = 2(5(-1|x + 2| + 2)^2 + 1(-1|x + 2| + 2)) - 4 from x = -3.9 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(3|((3(4x - 1) + 1)/(1(4x - 1))) - 3| - 3)^2 - 5(3|((3(4x - 1) + 1)/(1(4x - 1))) - 3| - 3) - 1 and g(x) = (3(5(-4x^2 - 5x + 1) - 5) - 2)/(1(5(-4x^2 - 5x + 1) - 5) + 2) between the vertical lines x = -1.2 and x = -0.3. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2|(-1((1(2x^2 - 5x - 1) + 3)/(-2(2x^2 - 5x - 1) - 3)) + 1) - 3| - 2 and g(x) = -1|(-2cos(1π(-3x - 1) + 3) - 3) + 3| + 3 from x = 0.7 to x = 0.9. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(-1(4x - 2)^2 + 5(4x - 2) - 3))/(2(-1(4x - 2)^2 + 5(4x - 2) - 3) + 1) and g(x) = -5((1x - 2)/(-1x - 3)) - 2 between the vertical lines x = 0.6 and x = 1.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -1e^(-1(1|((1x + 3)/(-2x - 3)) - 3| - 3)) + 2 and g(x) = 2e^(-1(-1x + 5)) - 1 between the vertical lines x = -2.0 and x = -1.6. Round to 1 decimal place.

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

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[User]
Calculate the area enclosed between the functions f(x) = -4((-2(3sin(1πx - 3)) - 2)/(2(3sin(1πx - 3)) - 1)) - 5 and g(x) = -1(-5x + 3)^2 - 5(-5x + 3) - 5 from x = -0.1 to x = 0.7. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2e^(1((2(3|x + 1| - 3))/(-2(3|x + 1| - 3) + 3))) + 3, g(x) = -2|(-5x^2 + 2x - 5) + 2| - 1, x = -2.4, and x = 0.3. Round your answer to 1 decimal place.

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

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

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

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[User]
Find the area of the region bounded by the curves f(x) = 1|((1(4(-2sin(1πx - 3) + 3) + 3) + 1)/(2(4(-2sin(1πx - 3) + 3) + 3) - 3)) + 1| - 2, g(x) = -2cos(3π(-3|(-5x^2 - 2x - 4) - 2|) - 2) - 1, x = 3.9, and x = 4.0. Round your answer to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1((-2(4(-3|x + 2| - 3)^2 - 1(-3|x + 2| - 3) + 5) - 2)/(-3(4(-3|x + 2| - 3)^2 - 1(-3|x + 2| - 3) + 5) + 2)) - 5, g(x) = -5(-5(1|x - 3| - 2) - 4)^2 + 1(-5(1|x - 3| - 2) - 4) + 3, x = 1.6, and x = 2.1. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2(-1|(-1(3cos(1πx - 3))^2 + 4(3cos(1πx - 3)) - 1) + 2| + 3) - 1)/(-3(-1|(-1(3cos(1πx - 3))^2 + 4(3cos(1πx - 3)) - 1) + 2| + 3) + 4) and g(x) = (-3(1(-3|x + 2| + 2)^2 + 1(-3|x + 2| + 2) + 2))/(1(1(-3|x + 2| + 2)^2 + 1(-3|x + 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) = 3sin(1π(5((3(3x^2 + 5x) + 2)/(2(3x^2 + 5x) - 1)) - 5) + 3) + 2, g(x) = -4(3(3|x + 2|)^2 - 4(3|x + 2|)) - 1, x = -1.6, and x = -1.5. 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) = (-1(-3(2cos(3πx - 2) + 3)^2 + 2(2cos(3πx - 2) + 3) + 3) + 1)/(2(-3(2cos(3πx - 2) + 3)^2 + 2(2cos(3πx - 2) + 3) + 3) - 1) and g(x) = 3e^(-1(-1x - 4)) - 2 between the vertical lines x = -4.9 and x = -4.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -2sin(2π(1|(3x^2 - 1x - 2) + 3| + 3) - 3), g(x) = 2sin(1π(1x - 3) - 2) - 2, x = 1.7, and x = 1.8. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(2cos(3π(3((1x - 2)/(1x + 3))^2 - 3((1x - 2)/(1x + 3)) + 4) + 2) - 3) - 3| - 2 and g(x) = -1(3e^(-1((3x + 3)/(1x))) - 1)^2 - 5(3e^(-1((3x + 3)/(1x))) - 1) between the vertical lines x = -3.1 and x = -3.0. Round to 1 decimal place.

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