[User]
Calculate the area enclosed between the functions f(x) = -1sin(1π(-4(-4((-1x + 2)/(3x - 2)) - 4)^2 + 3(-4((-1x + 2)/(3x - 2)) - 4) + 3) + 3) + 2 and g(x) = -2sin(3π(4(1|x + 1| + 2)^2 + 3(1|x + 1| + 2) - 2) + 3) + 2 from x = -4.2 to x = -4.1000000000000005. 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(-2cos(2πx + 1) - 1) + 5) + 2)/(1(3(-2cos(2πx + 1) - 1) + 5) + 3) and g(x) = (2(-1cos(3πx - 2)) - 3)/(1(-1cos(3πx - 2)) + 2) from x = 4.7 to x = 5.0. 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|(5x)| and g(x) = -1|x - 1| between the vertical lines x = -0.1 and x = 0.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(-4x - 3) + 1)/(-1(-4x - 3)), g(x) = 3x + 2, 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) = 3(-3x^2 - 3x - 2) + 4 and g(x) = -3x - 4 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|x - 3| + 2) + 3)/(2(-3|x - 3| + 2) + 1) and g(x) = 5x - 2 from x = 0.6 to x = 2.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2cos(1π(-2|x - 3| + 2) - 2) - 1 and g(x) = (3x + 2)/(-2x - 2) from x = -4.4 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) = 2sin(2π((-3x - 1)/(-1x - 1))), g(x) = -4x + 1, x = 0.4, 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(-2|x|)^2 - 3(-2|x|) + 5 and g(x) = 5x^2 + 4x + 4 from x = -1.2 to x = 0.5. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(1cos(2πx + 2) + 1) - 4 and g(x) = -3|x + 3| + 3 between the vertical lines x = -0.1 and x = 0.6. 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(-4((1x)/(-1x + 3))^2 + 3((1x)/(-1x + 3)) + 4)) + 2| - 1 and g(x) = (1(3|(1x^2) - 2| + 1) - 3)/(2(3|(1x^2) - 2| + 1) - 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]
Determine the area of the region enclosed by the graphs of f(x) = 5((3(3|(4x^2 - 4) + 1| - 3) - 3)/(2(3|(4x^2 - 4) + 1| - 3))) + 3 and g(x) = 2(1e^(-1((-2x + 3)/(2x - 3))))^2 - 1(1e^(-1((-2x + 3)/(2x - 3)))) - 2 between the vertical lines x = -1.6 and 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|(-2sin(3πx)) - 1| + 1 and g(x) = -2x between the vertical lines x = -2.4 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) = (-3(5(1cos(1π(-1x - 3) + 1) + 1)^2 + 1(1cos(1π(-1x - 3) + 1) + 1) - 4) - 3)/(2(5(1cos(1π(-1x - 3) + 1) + 1)^2 + 1(1cos(1π(-1x - 3) + 1) + 1) - 4) + 2) and g(x) = -4((3(1|x| - 2) + 1)/(3(1|x| - 2) - 2))^2 + 1((3(1|x| - 2) + 1)/(3(1|x| - 2) - 2)) + 1 from x = -2.1 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) = 1|(-3(-1sin(2πx + 1) + 1) + 3)|, g(x) = (3(2|x + 1| - 1))/(-1(2|x + 1| - 1) + 2), x = -1.7, and x = -1.6. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(2(3|(1x^2 + 3x - 3) - 2|) + 4) - 3)/(-3(2(3|(1x^2 + 3x - 3) - 2|) + 4) - 1), g(x) = -2sin(1π(4(1x - 3)^2 + 5(1x - 3) - 2) + 3) + 1, x = -4.9, and x = -4.8. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(-5(-3x^2 - 3x + 5)) + 2)/(2(-5(-3x^2 - 3x + 5)) + 3), g(x) = 4(-5x^2 - 3x + 4) - 2, x = -1.8, and x = -1.2. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(2(2e^(-1x) - 1)^2 + 5(2e^(-1x) - 1) + 3) - 1| + 2 and g(x) = -3sin(2π((2x)/(-3x + 2)) - 1) + 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) = (-2(1e^(-2x) + 3) + 2)/(3(1e^(-2x) + 3) - 1) and g(x) = -1|x - 1| between the vertical lines x = 0.5 and 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(4x - 4) - 2)/(-3(4x - 4)), g(x) = -2|x - 1| + 1, x = 1.2, and x = 1.5. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|((1(-1(-4x^2 + 5x + 2) - 5) - 3)/(-3(-1(-4x^2 + 5x + 2) - 5) + 4)) + 3| - 1 and g(x) = -1((2(-1x^2 + 2x + 2) - 2)/(-3(-1x^2 + 2x + 2) - 3)) + 2 between the vertical lines x = -0.7 and x = 2.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -4(3cos(1πx + 1) - 2)^2 - 5(3cos(1πx + 1) - 2) - 2 and g(x) = -2x^2 + 3x - 2 from x = 3.1 to x = 4.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -1cos(1π(-3x - 3) + 1) - 1 and g(x) = -1|x + 1| + 2 from x = -4.9 to x = -4.8. Round to 1 decimal place.

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


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

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = 1((-3(4x - 1) + 2)/(2(4x - 1) + 3))^2 - 1((-3(4x - 1) + 2)/(2(4x - 1) + 3)) - 5, g(x) = -4(-3sin(2πx - 1))^2 - 1(-3sin(2πx - 1)) + 1, x = -3.3, and x = -2.9. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1|(5x^2 + 5x) - 3| - 1 and g(x) = 1x^2 - 1x - 1 from x = -1.9 to x = -1.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2(3sin(3π(-1x + 2) + 2) - 3)^2 - 5(3sin(3π(-1x + 2) + 2) - 3) + 1 and g(x) = 3(-2x^2 - 2x + 5) + 3 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(1x^2 - 1x + 3) + 3)/(-1(1x^2 - 1x + 3)) and g(x) = 3|x - 3| - 2 between the vertical lines x = 2.2 and x = 3.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -2|(-4(5x^2 - 1x - 3) + 2) - 1| + 3, g(x) = -2e^(1(4x^2 - 1x + 1)) - 1, x = -0.4, 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) = 2|(-4((2(-1cos(3πx + 3)) + 2)/(-1(-1cos(3πx + 3)))) + 4) + 2| - 1 and g(x) = -2(1|((-3x - 3)/(-2x + 3))| - 3)^2 + 2 from x = 4.9 to x = 5.0. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2cos(2π((-3(1x + 1) - 3)/(2(1x + 1) - 3))) and g(x) = -5(2sin(3πx + 1) - 1)^2 + 3(2sin(3πx + 1) - 1) from x = -3.9 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) = 1sin(1π(-1x^2 - 5x + 3) - 3) + 2, g(x) = -3|x + 1| + 3, x = -1.4, and x = -1.1. 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(3π((-2(-1(5x^2 + 4x + 1) + 2) + 2)/(1(-1(5x^2 + 4x + 1) + 2) + 3))) and g(x) = (-2(3|(-2x^2 - 1x + 2) + 1| + 2))/(2(3|(-2x^2 - 1x + 2) + 1| + 2) - 3) 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]
Determine the area of the region enclosed by the graphs of f(x) = -1cos(1π(3x - 2) - 3) and g(x) = 3x - 5 between the vertical lines x = 1.5 and x = 1.9. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|((-3(-1cos(1πx - 2) - 3) + 1)/(1(-1cos(1πx - 2) - 3) + 3)) - 2| + 3 and g(x) = 1((2x)/(-1x - 2))^2 - 2((2x)/(-1x - 2)) + 2 between the vertical lines x = -4.6 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) = -5(-4(3cos(2π(-2|x| - 2) + 3) - 2)^2 + 3(3cos(2π(-2|x| - 2) + 3) - 2) + 4) + 4 and g(x) = -1(3(-1|x + 1| - 1)^2 + 2(-1|x + 1| - 1) + 5) - 1 between the vertical lines x = 0.2 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) = -2((-1(1|(-1x + 4) + 2| + 2) + 3)/(2(1|(-1x + 4) + 2| + 2) - 3))^2 - 1((-1(1|(-1x + 4) + 2| + 2) + 3)/(2(1|(-1x + 4) + 2| + 2) - 3)) - 3, g(x) = -1|(3(-5x^2 + 2x + 5))| - 2, x = 1.2, and x = 1.3. 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) = 1(-2|(1((-1x - 3)/(-3x - 2))^2 - 4((-1x - 3)/(-3x - 2)) - 1) + 2| + 2) + 4, g(x) = (2(3(3e^(-1x))^2 + 2(3e^(-1x)) + 1) + 3)/(-1(3(3e^(-1x))^2 + 2(3e^(-1x)) + 1) - 2), x = -1.5, 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) = 1((-3(1|(1x - 4) - 3| + 2) - 3)/(3(1|(1x - 4) - 3| + 2) + 3))^2 - 2((-3(1|(1x - 4) - 3| + 2) - 3)/(3(1|(1x - 4) - 3| + 2) + 3)) + 3 and g(x) = -1(-1(-2cos(1πx + 2) - 2)^2 - 3(-2cos(1πx + 2) - 2) - 5) + 1 from x = -1.6 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) = -4((2(4(2|x - 2|)^2 - 3(2|x - 2|) - 2))/(3(4(2|x - 2|)^2 - 3(2|x - 2|) - 2) + 2)) - 1, g(x) = -5(2sin(2π((-3x)/(-3x + 2)) + 1) - 3) + 4, x = 1.5, and x = 2.5. 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 - 2| + 1) + 2)/(-2(-1|x - 2| + 1))) - 4)^2 - 3(-1((3(-1|x - 2| + 1) + 2)/(-2(-1|x - 2| + 1))) - 4) + 3 and g(x) = 1sin(3π(-2((1x - 1)/(2x - 1)) - 5) - 3) + 3 from x = 2.0 to x = 2.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(4(2x^2 + 4x) - 3) - 2)/(-3(4(2x^2 + 4x) - 3) - 2) and g(x) = -4(-1x)^2 + 1(-1x) + 5 from x = -2.1 to 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(1e^(-2(-2|x + 1| + 3)) - 3))/(2(1e^(-2(-2|x + 1| + 3)) - 3) + 2) and g(x) = -3|(1sin(3πx - 3) + 3) - 3| + 2 between the vertical lines x = 4.0 and x = 4.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(1π(-3|(3((2x - 1)/(-1x - 3)) - 2) - 3| + 3) - 1) - 3 and g(x) = -4(1((2x - 1)/(-2x - 2)) + 4)^2 + 5(1((2x - 1)/(-2x - 2)) + 4) between the vertical lines x = -2.4 and 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(-2cos(1πx + 1) + 3) + 2 and g(x) = -5x^2 + 2x - 2 between the vertical lines x = -0.2 and x = 1.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3e^(-2(3|x - 1|)) - 1 and g(x) = (2x + 1)/(1x + 3) from x = -1.3 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) = 1(1e^(-1(3|((-1x + 2)/(-1x - 1)) + 3| - 3)) + 1) + 2 and g(x) = -3sin(1π((1(2x + 4) + 1)/(1(2x + 4) - 2)) + 1) from x = -1.8 to x = -1.4. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -4(1cos(1πx + 3) - 1) + 5 and g(x) = 3|x - 2| between the vertical lines x = -2.1 and x = -1.6. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(-2|(-5x + 3) + 3|) + 2)/(-3(-2|(-5x + 3) + 3|) - 2) and g(x) = 3|(-3x^2 + 3x + 5) + 1| + 3 between the vertical lines x = 1.1 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) = 4(1|((3x + 1)/(-2x - 1)) + 1| + 1) - 3, g(x) = -5(-1|x + 1| - 2) - 5, x = -1.0, and x = -0.9. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3|(5(1cos(3πx + 1))^2 - 2(1cos(3πx + 1)) + 5) - 3| + 2 and g(x) = 2(5x - 1)^2 - 5(5x - 1) - 5 between the vertical lines x = 0.5 and 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) = 1sin(3π((2(1|(3x + 2) - 1| - 3) + 1)/(-1(1|(3x + 2) - 1| - 3) + 2)) - 3) and g(x) = -1e^(-1((-3(-4x^2 + 2x - 4) - 3)/(-1(-4x^2 + 2x - 4) + 2))) from x = -1.7 to x = -1.5999999999999999. 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((-2x + 1)/(3x))^2 - 3((-2x + 1)/(3x)) - 4) - 4, g(x) = (1(5x^2 - 1x - 3) + 3)/(3(5x^2 - 1x - 3) + 1), x = 0.1, 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|(-3(-3sin(3πx - 3) + 1)^2 - 2(-3sin(3πx - 3) + 1) - 3) + 2| + 1) - 4 and g(x) = (-2(-3(3|x - 2| + 2) + 1) + 3)/(-2(-3(3|x - 2| + 2) + 1) + 1) from x = 0.3 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) = 1cos(1π(-1(2|x + 2| - 1)) + 2) + 3 and g(x) = 4((-1x + 2)/(3x - 2)) + 3 between the vertical lines x = 4.2 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) = -4((-1x + 2)/(-2x - 1))^2 - 5((-1x + 2)/(-2x - 1)) - 2 and g(x) = (-1x)/(1x) between the vertical lines x = 0.3 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) = 2cos(1π(3((2(4x - 1) + 1)/(-2(4x - 1) - 3))^2) + 3) + 1 and g(x) = -2(-1|(-3sin(1πx + 3))| - 1)^2 + 3 between the vertical lines x = 1.0 and x = 1.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3sin(1π(2|(-4x - 3) - 2| + 3)) + 1 and g(x) = -1|(-2x + 4) + 3| - 1 from x = 3.3 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) = -3(1e^(2(-2|(1x^2 + 4)| + 3)) - 3) - 5 and g(x) = 1(-2e^(-1(3|x + 3| - 1)) - 1)^2 - 3(-2e^(-1(3|x + 3| - 1)) - 1) - 4 from x = -3.7 to 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((2(1e^(1x) + 3))/(-1(1e^(1x) + 3) - 2)) + 5 and g(x) = (1(-1|x + 2| + 1) + 3)/(-3(-1|x + 2| + 1)) from x = -3.1 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) = -3sin(1π(-2x^2 - 3x - 3) + 2) and g(x) = (-1x + 2)/(1x) from x = 2.7 to x = 2.8. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2(4x - 4)^2 + 5(4x - 4) - 3 and g(x) = -1x^2 - 5x between the vertical lines x = 0.9 and 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) = -3cos(3π(1|(-5((-2x - 3)/(-1x - 1))^2 + 1((-2x - 3)/(-1x - 1)) - 3)| - 2) + 1) + 3, g(x) = -2sin(1π(2|(-2x^2 + 2x + 5) - 3| - 1) - 1) + 3, x = 1.5, and x = 1.6. 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|((-2(-1(-5x - 4)^2 + 5(-5x - 4) + 4) + 1)/(-3(-1(-5x - 4)^2 + 5(-5x - 4) + 4) + 4)) - 2| - 3 and g(x) = -5((1(-2|x| + 3))/(-3(-2|x| + 3) - 3)) + 4 from x = -1.9 to x = -0.7. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2|(4(-1x - 3)^2 + 4(-1x - 3) + 2)| and g(x) = -4(-3cos(1πx + 3) + 2)^2 + 4(-3cos(1πx + 3) + 2) from x = -2.8 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) = (2(-1|(3(4x - 4)^2 + 2(4x - 4) - 4) + 2| + 2) + 3)/(2(-1|(3(4x - 4)^2 + 2(4x - 4) - 4) + 2| + 2) - 3) and g(x) = 5(-1|((-1x + 3)/(3x + 1)) - 2|)^2 + 5 between the vertical lines x = 1.1 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) = (-1(1cos(1πx + 3) + 1) + 2)/(-3(1cos(1πx + 3) + 1) + 2) and g(x) = -2|x + 2| - 3 between the vertical lines x = 3.6 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) = -2e^(-1(-2|x + 2|)) + 3 and g(x) = -3x^2 - 1x - 4 between the vertical lines x = -3.5 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) = -1((-1(1cos(2π(-5x^2 + 2x + 3) + 3)))/(-3(1cos(2π(-5x^2 + 2x + 3) + 3)) + 2)) - 5 and g(x) = -2(-2cos(3π(-2|x + 2| + 3) - 2) + 3) + 2 between the vertical lines x = -4.0 and x = -3.9. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(3(1sin(3π(2|x + 1| - 1) - 1) - 1)^2 - 5(1sin(3π(2|x + 1| - 1) - 1) - 1) - 3) - 2)/(2(3(1sin(3π(2|x + 1| - 1) - 1) - 1)^2 - 5(1sin(3π(2|x + 1| - 1) - 1) - 1) - 3) + 3), g(x) = 4(-3sin(3π(-1x + 5) + 1) + 1)^2 + 4(-3sin(3π(-1x + 5) + 1) + 1), x = -3.8, and x = -3.6999999999999997. 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((2x - 1)/(-1x - 2)) and g(x) = -3|x - 1| + 2 between the vertical lines x = 0.4 and x = 2.2. 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) = -1e^(1(4x + 1)) + 3 and g(x) = -2x - 3 between the vertical lines x = -3.0 and x = 0.2. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1(-1cos(3π((-1x + 2)/(-3x + 1))) + 1) - 1 and g(x) = (2(-1x^2 - 1x + 1) + 2)/(2(-1x^2 - 1x + 1)) from x = 0.8 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) = 1(-2e^(2(-1((2x - 2)/(3x - 2))^2 + 1((2x - 2)/(3x - 2)) - 4)) + 2) - 5 and g(x) = (-2(-2|(4x - 3)|) - 2)/(2(-2|(4x - 3)|) + 1) 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) = 4(-2sin(2πx - 1) - 1) and g(x) = (1x - 1)/(2x + 1) between the vertical lines x = -0.4 and x = 0.1. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(2cos(3πx - 1) - 2) + 2)/(-3(2cos(3πx - 1) - 2) - 1) and g(x) = -1|x - 1| + 3 from x = -4.6 to x = -4.5. 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|(1(3(3cos(1πx + 1) + 1)^2 - 2(3cos(1πx + 1) + 1) - 3) + 1) - 3| - 3 and g(x) = -1(-2e^(1(1|x - 2| - 1)) + 2) - 3 between the vertical lines x = 1.2 and x = 1.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1((-1(-1x^2 - 4x + 5))/(2(-1x^2 - 4x + 5) + 2)) - 2 and g(x) = 2((2x - 2)/(3x)) between the vertical lines x = 0.4 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) = 5(1cos(2π(1|x + 2| + 1) + 3))^2 + 4(1cos(2π(1|x + 2| + 1) + 3)) - 4, g(x) = -3|(-4x^2 + 2x + 5)|, x = -0.7, 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) = 2(1cos(1π(4x^2 + 1x + 5) + 3) + 2) + 2 and g(x) = (1(2cos(1πx - 2) - 3) + 3)/(2(2cos(1πx - 2) - 3) + 3) between the vertical lines x = 2.8 and x = 4.4. 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|(3x + 1)| and g(x) = -2x - 4 from x = -0.6 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|(-3cos(2πx + 1) + 3)| + 3 and g(x) = -3x between the vertical lines x = -1.9 and x = -1.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 4((-3x + 3)/(2x + 1))^2 + 5((-3x + 3)/(2x + 1)) - 2 and g(x) = 2x^2 - 5x - 2 from x = -2.1 to 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) = -4((1(1x^2 + 3x + 2) - 1)/(-3(1x^2 + 3x + 2) - 2)) + 4 and g(x) = (-3(2cos(1πx - 1) - 3) - 1)/(-2(2cos(1πx - 1) - 3) - 2) between the vertical lines x = 0.5 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|x - 2| - 3) + 1, g(x) = -1x + 2, x = -1.7, and x = 4.2. 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) = (-2(1(-1|(2x^2 - 3x + 2) + 1| + 3) + 5) + 2)/(2(1(-1|(2x^2 - 3x + 2) + 1| + 3) + 5) + 2) and g(x) = 1sin(1π(-2(-2|x + 2| + 3)^2) + 3) from x = 1.9 to x = 2.0. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -2sin(1π(2x + 5) + 1) - 3, g(x) = -1|x + 1| + 3, x = 4.3, and x = 4.8. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(1(-1|(-2x^2 - 3x - 2)| - 3)) + 1)/(2(1(-1|(-2x^2 - 3x - 2)| - 3)) - 1) and g(x) = (-2(-2|(4x - 3) - 3| + 2))/(-1(-2|(4x - 3) - 3| + 2) + 2) from x = 1.3 to x = 1.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(3(1x + 3)^2 + 3(1x + 3) - 5) - 2)/(-1(3(1x + 3)^2 + 3(1x + 3) - 5) - 3), g(x) = 1|(-1e^(-2x) + 3) + 3| + 1, x = -1.0, 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(3cos(1π(-4(3|x + 1| + 1)^2 + 2(3|x + 1| + 1) - 1) + 1)) - 2)/(2(3cos(1π(-4(3|x + 1| + 1)^2 + 2(3|x + 1| + 1) - 1) + 1)) - 1) and g(x) = 2|(2sin(3π(-4x^2 + 5x + 1) - 1) - 2) + 2| - 2 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}


[User]
Find the area of the region bounded by the curves f(x) = 3cos(2π(1(-3x - 2)^2 - 1(-3x - 2) - 4) + 2) + 1, g(x) = 2(-1|x|)^2 - 2(-1|x|) - 5, x = -1.5, 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(5(-1|x| + 1)^2 - 2(-1|x| + 1) - 2) - 1)/(3(5(-1|x| + 1)^2 - 2(-1|x| + 1) - 2) + 2) and g(x) = 1|((-3x)/(-3x)) - 3| + 2 between the vertical lines x = -1.3 and x = -0.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(2sin(1πx - 2) - 2) - 3)/(1(2sin(1πx - 2) - 2)) and g(x) = (-3x + 1)/(-1x + 2) between the vertical lines x = -4.6 and x = -3.2. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -1(5((-2x)/(-3x + 4)) + 5)^2 + 3(5((-2x)/(-3x + 4)) + 5) - 5, g(x) = -2|(-1x^2 - 5) + 1| - 3, x = 0.2, 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) = 2sin(3π((-2(-1x^2 - 4) - 3)/(-1(-1x^2 - 4) - 3)) + 1) + 1 and g(x) = 2(-3|x| + 3) - 4 between the vertical lines x = 0.5 and x = 0.6. 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(-5((-2x - 1)/(3x + 2)) + 3)^2 + 5(-5((-2x - 1)/(3x + 2)) + 3) - 3 and g(x) = -5(-1cos(2πx) + 3) + 5 between the vertical lines x = -0.6 and x = -0.4. Round to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1|(-1((1x - 3)/(1x + 2)) - 1) - 1| and g(x) = 2sin(1π(1x) - 1) + 1 between the vertical lines x = -0.5 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) = 3|(1sin(2πx) + 2) - 1| + 2, g(x) = 1x + 1, x = 1.9, and x = 2.6. 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(-1(3|(-5x^2 - 5x - 4) + 3| - 2)) + 3)/(-2(-1(3|(-5x^2 - 5x - 4) + 3| - 2)) + 3), g(x) = -3|(-2(3sin(1πx + 3) + 3)^2 + 2(3sin(1πx + 3) + 3) + 1) + 1| - 2, x = -0.6, 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) = -1sin(1π(-5x + 4) + 2) - 3 and g(x) = (-1x + 2)/(-1x - 2) between the vertical lines x = -1.2 and x = -1.1. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1((-2(3|(5x^2 - 2x + 1) - 1|) - 3)/(-3(3|(5x^2 - 2x + 1) - 1|) + 1)) - 5, g(x) = (-1(4(5x^2 - 5x - 4) - 5))/(-1(4(5x^2 - 5x - 4) - 5) + 2), x = -0.7, and x = -0.0. 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((-3x - 3)/(1x)) + 1)^2 + 4(-4((-3x - 3)/(1x)) + 1) + 4 and g(x) = -1sin(2π(-2|x - 3| - 1) + 1) - 1 from x = -1.2 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) = 1cos(1π(-2x + 1) - 2) - 1 and g(x) = 3x + 5 between the vertical lines x = -2.1 and x = -1.7. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1sin(2π(1|(1(3x^2 + 3x - 4) - 3) + 2|) - 3) - 3 and g(x) = -2sin(2π(4(-3x^2 - 2x + 3) - 3) - 2) between the vertical lines x = -0.6 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) = 5((1(1e^(2(-3|x - 2| + 3)) - 3) + 2)/(1(1e^(2(-3|x - 2| + 3)) - 3) + 1)) + 4 and g(x) = 1|((-3(1x^2 + 4x + 1) - 3)/(3(1x^2 + 4x + 1) + 2)) + 3| + 2 from x = -0.5 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) = -3(-5x^2 + 1x + 2) - 3 and g(x) = -1x^2 + 4x + 3 from x = -0.7 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) = 1(2e^(-1x) - 3) and g(x) = 5x^2 + 2x - 1 between the vertical lines x = -3.1 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) = (-1(-1|(3sin(2π(-5x^2 + 4x - 3) - 3) + 2)| + 2) - 3)/(3(-1|(3sin(2π(-5x^2 + 4x - 3) - 3) + 2)| + 2) + 3) and g(x) = -1e^(1(4(-2x)^2 + 2(-2x) - 2)) + 1 between the vertical lines x = 0.2 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) = 3cos(3π(5(3x + 2)^2 + 3(3x + 2) + 4) - 2) + 1 and g(x) = -2(2cos(2πx) - 2) - 1 from x = 1.8 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(1|(-2x^2 - 1x + 4) - 3| + 1) - 2)/(-1(1|(-2x^2 - 1x + 4) - 3| + 1) + 3) and g(x) = -1((-3x - 2)/(-1x - 3)) - 2 between the vertical lines x = -2.1 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) = 1cos(2π(-2|(-3x - 3) + 2| + 1) - 3) + 3 and g(x) = -4(2cos(2πx - 3) + 1) + 2 from x = 1.1 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) = 2((3x - 1)/(-1x - 3)) - 2, g(x) = -3x + 1, x = -1.5, and x = 1.5. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3sin(1π((2x - 1)/(2x + 3))) - 1 and g(x) = -1|x + 2| - 2 from x = -1.4 to x = -1.2999999999999998. 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) = 2sin(3π((-2(-3(2|x + 2| - 1)^2 - 4(2|x + 2| - 1) - 1) + 3)/(-1(-3(2|x + 2| - 1)^2 - 4(2|x + 2| - 1) - 1))) - 3) and g(x) = -1|(-1sin(1π(1x + 1) - 3) - 3) + 2| - 1 between the vertical lines x = -4.3 and x = -2.8. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -4(-3|x - 1| + 1) - 2 and g(x) = 3x + 3 from x = 0.2 to 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) = -3|((2(-1e^(-1(-1x - 5)) - 2) + 3)/(-1(-1e^(-1(-1x - 5)) - 2) + 3)) - 1| - 1 and g(x) = -3|(5((-1x + 2)/(3x - 2))^2 - 5((-1x + 2)/(3x - 2)))| + 3 from x = -4.5 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) = (3(1cos(1πx + 2) + 2) - 2)/(1(1cos(1πx + 2) + 2) + 1) and g(x) = (1x + 1)/(2x + 3) between the vertical lines x = -3.8 and 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) = -5(2|((2(2x - 3) - 1)/(2(2x - 3) - 1)) - 3| + 1)^2 + 2(2|((2(2x - 3) - 1)/(2(2x - 3) - 1)) - 3| + 1) + 5 and g(x) = -1|(5((-2x - 1)/(1x + 1))^2 - 3((-2x - 1)/(1x + 1))) - 1| + 2 from x = -1.4 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) = -1|(-4((2x + 2)/(-1x))^2 + 3((2x + 2)/(-1x)) - 1) - 1|, g(x) = -2e^(-2((-1x + 2)/(3x - 2))) + 1, x = -1.4, 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) = 5((3(3sin(3πx + 3) + 1) - 1)/(1(3sin(3πx + 3) + 1))) + 3 and g(x) = 1e^(2((-2x + 2)/(-2x - 3))) + 1 between the vertical lines x = -3.7 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) = -2sin(2π(-1|(-1x - 2) - 1| + 2) - 1) - 2 and g(x) = -2e^(1((-2x + 2)/(1x - 3))) - 2 between the vertical lines x = -2.2 and x = -1.6. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3cos(2π(-5x^2 - 5x + 3) + 2) - 1, g(x) = -1x^2 + 4x + 5, x = -1.5, 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) = -3(5x^2 - 3x - 4) + 5 and g(x) = (1x)/(1x) between the vertical lines x = -0.8 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) = 5((3(3|x + 3| - 1) + 1)/(2(3|x + 3| - 1) + 1))^2 + 4((3(3|x + 3| - 1) + 1)/(2(3|x + 3| - 1) + 1)) - 5, g(x) = 1e^(1(-3x^2 - 3x + 2)) - 3, x = -0.7, and x = -0.4. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2(-1|(5x + 1) + 3| + 3)^2 - 4(-1|(5x + 1) + 3| + 3) - 2 and g(x) = -1e^(-2(2x^2 + 2)) - 3 from x = -1.4 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) = 1cos(2π(-5x + 5)), g(x) = -1x + 2, x = 2.0, and x = 2.1. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (3(2|(3x + 3) + 3| - 3) - 2)/(2(2|(3x + 3) + 3| - 3) + 1) and g(x) = 3|(2e^(-1x)) - 3| + 3 between the vertical lines x = -2.4 and x = -1.6. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(1|(-2(4x^2 - 5x - 3) + 4) + 1| + 1) + 1)/(1(1|(-2(4x^2 - 5x - 3) + 4) + 1| + 1) - 2) and g(x) = -4(-3e^(-2(-1x^2 + 2x + 2)) - 3) - 1 from x = -0.7 to x = 1.9. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -3(-1|(3cos(1π((2x + 3)/(1x + 2)) - 1) - 2) + 1|)^2 - 3(-1|(3cos(1π((2x + 3)/(1x + 2)) - 1) - 2) + 1|) + 3 and g(x) = 5((2(-3|x - 2|) + 2)/(3(-3|x - 2|) + 1))^2 + 4((2(-3|x - 2|) + 2)/(3(-3|x - 2|) + 1)) + 1 from x = 2.2 to x = 2.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2(3|x - 3| + 1)^2 + 1(3|x - 3| + 1) - 4, g(x) = 4x + 5, x = 2.4, 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) = -3(-3|(-1x^2 + 4x + 1) + 1| + 1) - 5, g(x) = 2|(3x^2 + 5x - 4) - 2| + 2, x = 0.1, and x = 2.3. 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) = -3cos(1π(-2((1x + 2)/(-1x + 2))^2 + 1((1x + 2)/(-1x + 2)) + 4) + 1) + 3 and g(x) = -2cos(3π(1x + 2) - 1) - 1 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 3(-1(2|x - 1| + 3)^2 + 3) - 5 and g(x) = -1|((2x - 1)/(-2x + 3))| - 2 from x = 1.5 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) = 1e^(-2(1|(-4((-1x + 1)/(-2x + 3))^2 + 5((-1x + 1)/(-2x + 3)) - 4) + 3| - 3)) - 1, g(x) = -2|(2cos(3π((-1x)/(-2x + 3)) + 1) + 3) + 1| + 3, x = 1.5, and x = 1.6. 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) = 3cos(3π(-1x + 5) - 2) and g(x) = -2x^2 - 1 from x = -0.9 to x = -0.8. Round to 1 decimal place.

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


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

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (-3(1|(3(2x + 5)^2 - 2(2x + 5) - 1) - 3| - 3) + 1)/(3(1|(3(2x + 5)^2 - 2(2x + 5) - 1) - 3| - 3) + 1) and g(x) = (2(-5(-2sin(3πx - 2) - 3) + 1) - 3)/(3(-5(-2sin(3πx - 2) - 3) + 1) - 1) from x = -2.0 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) = -4(3cos(3π(1|x + 3| - 2) - 3) - 2)^2 - 4(3cos(3π(1|x + 3| - 2) - 3) - 2) + 1 and g(x) = 2(-3sin(2πx + 1) + 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]
Determine the area of the region enclosed by the graphs of f(x) = 4((-2(-1|(-4x^2 + 4x + 3) + 3| + 3) + 3)/(1(-1|(-4x^2 + 4x + 3) + 3| + 3) + 1)) - 2 and g(x) = -5((3(2|x + 2| - 3) + 3)/(1(2|x + 2| - 3)))^2 - 2((3(2|x + 2| - 3) + 3)/(1(2|x + 2| - 3))) - 2 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) = 1(-1((-3x + 1)/(1x)) + 2)^2 + 1(-1((-3x + 1)/(1x)) + 2) - 2, g(x) = 2e^(1(-3x^2 + 5x + 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]
Determine the area of the region enclosed by the graphs of f(x) = -2|(1((-2(-4x + 5) + 2)/(-1(-4x + 5) + 3))^2 - 4((-2(-4x + 5) + 2)/(-1(-4x + 5) + 3)) - 4) - 1| + 3 and g(x) = -4(2|(-5x - 1)| + 1)^2 - 1(2|(-5x - 1)| + 1) - 3 between the vertical lines x = -0.2 and x = 0.4. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(-2e^(2(3|(-1x^2 - 3x + 3) - 2| - 3)) + 1) + 2)/(-3(-2e^(2(3|(-1x^2 - 3x + 3) - 2| - 3)) + 1) - 1) and g(x) = (3(-3sin(3π(5x^2 - 2x - 3) + 1) + 2) - 2)/(2(-3sin(3π(5x^2 - 2x - 3) + 1) + 2) - 1) from x = 3.1 to x = 3.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (1(-4(-3cos(2π(-4x^2 + 3x - 4) + 3) + 2) + 1) + 3)/(1(-4(-3cos(2π(-4x^2 + 3x - 4) + 3) + 2) + 1)), g(x) = -1|((-3(-1x - 3) + 2)/(-2(-1x - 3) - 3)) - 3| + 1, x = 2.2, and x = 2.3000000000000003. 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(3x + 5)^2 + 4, g(x) = -1x^2 - 3, x = -2.5, 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) = -5(2((-3(-3|x - 3| + 3) - 1)/(3(-3|x - 3| + 3) - 1))^2 - 4((-3(-3|x - 3| + 3) - 1)/(3(-3|x - 3| + 3) - 1)) - 3) + 5 and g(x) = (-1(1(-1sin(2πx - 3))^2 + 2(-1sin(2πx - 3)) - 4) + 2)/(-2(1(-1sin(2πx - 3))^2 + 2(-1sin(2πx - 3)) - 4) - 1) from x = 1.4 to x = 2.0. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (-2(-3|(5x + 2)| + 3) + 1)/(-1(-3|(5x + 2)| + 3) - 1) and g(x) = -2|(-3x^2 + 2x + 5) + 2| - 2 from x = -0.6 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) = -2cos(2π(5x - 1) - 2) - 3 and g(x) = (1x - 1)/(3x + 1) between the vertical lines x = -0.2 and x = -0.0. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-1|(-1sin(1πx - 3) - 1) - 2| - 1) - 5 and g(x) = -3|(2x^2 - 5x + 1) - 2| between the vertical lines x = 0.4 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) = 4(3x + 2)^2 - 3(3x + 2) - 5 and g(x) = 3|x + 2| - 1 from x = -1.0 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) = (3(-3|(-1x^2 + 4x - 1)| - 2) - 3)/(3(-3|(-1x^2 + 4x - 1)| - 2) + 2) and g(x) = 3sin(2π(2x^2 + 2) - 2) - 1 from x = -3.6 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) = -3cos(1π(2x^2 + 1x + 5)) - 2 and g(x) = 4x + 3 from x = -1.4 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) = 2e^(-1((-1(1(1x + 1)^2 + 2(1x + 1) - 5) - 2)/(-2(1(1x + 1)^2 + 2(1x + 1) - 5) + 1))) - 1 and g(x) = 5(3|(2x - 1) - 1| - 3)^2 + 3(3|(2x - 1) - 1| - 3) - 5 from x = 0.7 to x = 1.3. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 2(3cos(3πx + 2) + 3)^2 + 3(3cos(3πx + 2) + 3) - 3, g(x) = 5x^2 - 1x - 5, x = 3.0, and x = 3.2. 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) = -4(-3((-1(1|x| - 2) + 3)/(-1(1|x| - 2) - 2)) - 3)^2 - 3(-3((-1(1|x| - 2) + 3)/(-1(1|x| - 2) - 2)) - 3) + 5 and g(x) = 1|(2((3x - 3)/(3x + 1)) + 4) + 2| - 2 between the vertical lines x = 2.5 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) = 1e^(2(-2|(-1x^2 - 1x - 2) + 1| + 3)) - 2 and g(x) = (3(1|x - 1| - 1) + 1)/(-3(1|x - 1| - 1) - 2) between the vertical lines x = -1.3 and x = 0.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-4((-2x - 3)/(1x))^2 + 5((-2x - 3)/(1x)) + 1) + 3 and g(x) = 1(2sin(2πx - 1) + 1)^2 + 4(2sin(2πx - 1) + 1) + 5 between the vertical lines x = -1.3 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) = (-2(1(3|(-3x^2 - 4x - 5) + 3|) - 2) - 1)/(1(1(3|(-3x^2 - 4x - 5) + 3|) - 2) + 1) and g(x) = -1|(3cos(2π((3x)/(-1x + 2)) - 3) + 2) + 1| between the vertical lines x = 1.6 and x = 1.7000000000000002. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3sin(3π((-2x + 1)/(1x + 1)) + 2) and g(x) = 3x^2 - 2x + 2 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]
Find the area of the region bounded by the curves f(x) = -2|(2((2(1x^2 + 1x - 1) + 2)/(-3(1x^2 + 1x - 1) + 1)) + 1) - 2| + 1, g(x) = -3(1|(1x^2 + 2x - 3) + 1| - 2) - 1, x = -3.5, 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) = -2(-1cos(2πx)) + 2, g(x) = 1x - 3, x = 3.6, 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) = 3|(-3(-3x + 3)^2 - 4(-3x + 3)) + 2| - 1, g(x) = (2(3x^2 - 4x - 1) + 2)/(-2(3x^2 - 4x - 1) + 3), x = 0.9, and x = 1.0. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3|(-1cos(3π((-2x - 2)/(-2x + 3)) - 1)) + 1| + 1, g(x) = 2e^(1(-2x^2 - 4x + 1)), x = -2.0, 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) = 2(1cos(3π(-2((-2x - 1)/(1x))^2 - 1((-2x - 1)/(1x)) + 3) - 1) - 2) + 5, g(x) = (-2(4(1cos(2πx - 3) - 2)^2 - 5) - 1)/(3(4(1cos(2πx - 3) - 2)^2 - 5) + 2), x = -1.3, and x = -1.1. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -3|(2sin(1πx + 1) + 3) - 2|, g(x) = (-2x - 1)/(3x + 2), x = -2.4, and x = -1.2. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1sin(2π(-1x^2 - 3x) - 2) + 2 and g(x) = 1|x| + 2 from x = 0.9 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(-1|(4(-2x - 5)^2 - 5(-2x - 5) + 4) - 1| + 2) + 1)/(-1(-1|(4(-2x - 5)^2 - 5(-2x - 5) + 4) - 1| + 2) - 2) and g(x) = (3(-2(3e^(1x))^2 + 3(3e^(1x)) - 2) + 3)/(2(-2(3e^(1x))^2 + 3(3e^(1x)) - 2) - 3) between the vertical lines x = -2.8 and x = -2.6999999999999997. 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) = 2(2|x - 1| - 2) and g(x) = (-1x + 1)/(-3x - 3) between the vertical lines x = 0.1 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) = (-3(3(-2|(-3x - 1)| - 2)^2 + 3(-2|(-3x - 1)| - 2) - 3) - 1)/(3(3(-2|(-3x - 1)| - 2)^2 + 3(-2|(-3x - 1)| - 2) - 3) - 2) and g(x) = -4((-1(1x^2 - 4x + 3) + 2)/(-2(1x^2 - 4x + 3) + 3)) - 4 between the vertical lines x = 0.4 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(-2(2|x + 1|)^2 + 4(2|x + 1|) + 5) - 1 and g(x) = -1(2e^(1x) - 1)^2 - 4(2e^(1x) - 1) + 5 from x = -2.9 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|(-3cos(1πx - 2) - 2) - 3|, g(x) = 3x + 2, x = -4.8, and x = -4.0. 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) = -3sin(1π(-3|(-2x^2 + 2x - 2) - 2| + 1)) - 2, g(x) = -1(3e^(-1x) - 1)^2 + 5(3e^(-1x) - 1) - 3, x = 1.1, 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) = 1|((1x + 2)/(2x + 1)) - 1| and g(x) = (-2x - 2)/(-2x - 1) between the vertical lines x = -3.0 and 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) = 3(-1e^(-1(-2|x + 3| + 3)) + 2)^2 - 5(-1e^(-1(-2|x + 3| + 3)) + 2) + 5 and g(x) = 1|(3x - 1) + 3| - 3 from x = -5.0 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) = -4(2x + 3)^2 + 1(2x + 3) + 4, g(x) = -4x^2 + 3x - 1, x = -3.4, and x = -0.7. Round your answer to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -2(1e^(-1x) - 2) + 2, g(x) = 5x - 1, x = -2.2, and x = 1.3. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 2e^(-1(-2|x - 2| + 1)) + 2 and g(x) = 2x^2 - 5x + 5 from x = 1.9 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) = -5(1((-3(2|x + 1| - 2) - 1)/(-2(2|x + 1| - 2) - 2))^2 + 2((-3(2|x + 1| - 2) - 1)/(-2(2|x + 1| - 2) - 2)) - 5) and g(x) = 1cos(2π((-3(-1x + 2) - 2)/(2(-1x + 2) + 1)) + 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]
Determine the area of the region enclosed by the graphs of f(x) = 5((-2(5(2cos(2πx + 3) + 2)^2 - 5(2cos(2πx + 3) + 2) - 5) - 3)/(-2(5(2cos(2πx + 3) + 2)^2 - 5(2cos(2πx + 3) + 2) - 5) + 3)) + 5 and g(x) = 1(-2cos(2π(-3|x - 2| + 2)) - 2) - 3 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) = -4(-1sin(2π(3|x - 2| - 1) + 2) - 1) + 1, g(x) = 1sin(2π(-2|x + 1| - 2) - 1) + 3, x = -4.2, 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) = (2(1cos(3π(-5x^2 - 5x + 4)) - 3) - 3)/(-3(1cos(3π(-5x^2 - 5x + 4)) - 3) + 1), g(x) = (1(2cos(1πx - 1)))/(2(2cos(1πx - 1)) + 2), x = -2.3, and x = -1.1. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(2|(-1x - 1) - 1| - 3) + 2)/(1(2|(-1x - 1) - 1| - 3) - 3) and g(x) = -2|((-3x - 3)/(-2x + 1)) + 2| + 3 between the vertical lines x = -0.9 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) = (-3(-1|(4(1cos(1πx - 2) - 1) - 1) + 1| + 3) + 2)/(-1(-1|(4(1cos(1πx - 2) - 1) - 1) + 1| + 3)), g(x) = (-2(-3(-1|x + 1| - 3)^2 - 2(-1|x + 1| - 3) - 1) + 3)/(-3(-3(-1|x + 1| - 3)^2 - 2(-1|x + 1| - 3) - 1) + 1), x = 4.3, and x = 5.0. 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) = -2sin(1π(-2((-1x + 1)/(-3x - 2)) + 4)) + 1, g(x) = 3cos(2π((-2x + 2)/(-2x - 3)) - 3) + 1, x = -0.7, and x = -0.6. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 4(1cos(2π(-1x^2 - 5x + 1) + 1) + 1) + 3, g(x) = -1(-3x^2 + 5x + 4) - 2, x = 2.9, and x = 3.0. 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(-1cos(1π(2x - 5) - 1) + 1) - 3)/(-2(-1cos(1π(2x - 5) - 1) + 1) + 3), g(x) = -3|(3cos(1πx - 2) + 1) + 1| + 1, x = 4.4, and x = 5.0. 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) = -3sin(2π(-3|(-2x - 5)| - 2) + 2) - 3, g(x) = -2|(1x + 3) - 2| + 2, x = -2.6, and x = -2.4. 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(-1|(1e^(-2(4x - 2)) - 3) - 3| - 2) - 1)/(3(-1|(1e^(-2(4x - 2)) - 3) - 3| - 2) - 2), g(x) = (-1(-3sin(1π(1|x - 2| + 1) - 3) - 1) - 2)/(3(-3sin(1π(1|x - 2| + 1) - 3) - 1) + 2), x = -2.0, and x = -0.9. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(-1|x + 2| - 1)^2 - 5(-1|x + 2| - 1) - 2 and g(x) = -3|x| + 1 between the vertical lines x = -3.7 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) = 5(1((-1(2|x - 3| - 1) + 1)/(-3(2|x - 3| - 1) + 2))^2 - 4((-1(2|x - 3| - 1) + 1)/(-3(2|x - 3| - 1) + 2)) - 5) - 1, g(x) = 3|((-3(-3x - 3) + 2)/(-3(-3x - 3) - 2)) + 1| - 3, x = 2.1, and x = 2.2. Round your answer to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = -2sin(1π(-4(2|x + 1| + 2) - 3) - 3) - 2, g(x) = -2(-3sin(3πx) + 1) + 5, x = 3.9, 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((3x - 1)/(-1x + 2)) + 4)^2 + 5(-1((3x - 1)/(-1x + 2)) + 4) + 4 and g(x) = 3|(-5x^2 - 4x) - 3| + 2 between the vertical lines x = 0.8 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) = -1(-2sin(1π((1x - 3)/(-3x)) + 2) - 3) - 4 and g(x) = 2cos(3π((-1x - 1)/(-1x + 2)) - 3) + 2 from x = 2.3 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) = -3cos(1π((-2(-2x^2 - 2x + 4) + 2)/(1(-2x^2 - 2x + 4) - 3)) - 2) + 2, g(x) = -1(5x^2 - 5x - 5) - 3, x = 0.7, and x = 0.8. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(3|(-5(-1x^2 - 3x - 5) - 3)| - 1))/(-3(3|(-5(-1x^2 - 3x - 5) - 3)| - 1) - 3), g(x) = (3(-2(-5x + 5)^2 - 5(-5x + 5) + 4) - 1)/(-2(-2(-5x + 5)^2 - 5(-5x + 5) + 4) - 1), x = 0.9, 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) = -2|(-2cos(1πx - 2)) + 2| - 2 and g(x) = -2x^2 + 3 between the vertical lines x = -2.5 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(5(-5x + 4)^2 + 4(-5x + 4) + 1) + 3)/(2(5(-5x + 4)^2 + 4(-5x + 4) + 1) + 3) and g(x) = 2(-5x + 5)^2 - 3(-5x + 5) + 1 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]
Calculate the area enclosed between the functions f(x) = (-1(-1|(1(-4x^2 - 5x - 1) + 4) - 3| + 1) - 1)/(2(-1|(1(-4x^2 - 5x - 1) + 4) - 3| + 1) - 3) and g(x) = 5(-1|(-5x^2 - 5x + 1) - 1|) + 5 from x = -0.2 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) = 1(-5((1(2|x|))/(1(2|x|) - 3))^2 + 2) + 4, g(x) = (1(4(2x + 1)^2 - 4(2x + 1) + 3) + 3)/(1(4(2x + 1)^2 - 4(2x + 1) + 3) - 3), x = 0.1, and x = 0.7. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -1e^(1((1x + 2)/(1x + 3))) - 1 and g(x) = 2|x + 2| - 3 between the vertical lines x = -3.0 and 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) = -5(-2|(-1(2sin(2πx + 1) - 3)^2 - 3(2sin(2πx + 1) - 3) + 1) - 3| - 1) - 3 and g(x) = 1(3e^(1((3x + 1)/(-2x + 3))))^2 + 4(3e^(1((3x + 1)/(-2x + 3)))) + 1 between the vertical lines x = -1.1 and x = -0.7. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = -2(-1|(2((1x)/(2x - 1))^2 - 3((1x)/(2x - 1)) - 2) - 2| - 1) - 2 and g(x) = 2|(5(-2x^2 + 1x + 4) + 2) - 3| - 1 from x = -1.3 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|(-5x^2 - 3x - 4) - 3| - 2) + 3)/(-2(1|(-5x^2 - 3x - 4) - 3| - 2) + 3), g(x) = 1sin(1π(-5x - 4) - 3), x = 3.0, and x = 3.2. 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(2cos(2π(1x^2 + 4x - 5)) - 1) + 4 and g(x) = -3cos(3π(-1x^2 + 4x + 3)) + 2 between the vertical lines x = 4.2 and x = 4.3. Round to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = 2|((2(-2(4x + 4)^2 + 4(4x + 4) + 1) + 1)/(1(-2(4x + 4)^2 + 4(4x + 4) + 1) + 2)) + 2| - 2 and g(x) = (1(3(-1|x - 1| - 1) - 1) + 2)/(-1(3(-1|x - 1| - 1) - 1) + 3) between the vertical lines x = -1.1 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) = (3(-1cos(1π(-1|x| - 3)) - 2) - 3)/(3(-1cos(1π(-1|x| - 3)) - 2) + 2) and g(x) = (1(4x^2 + 5x - 5))/(-3(4x^2 + 5x - 5) + 2) from x = -2.0 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) = (1(-1|x + 3| + 2) - 1)/(-2(-1|x + 3| + 2) + 1) and g(x) = (2x - 1)/(-1x) between the vertical lines x = -1.4 and 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) = -3((3(2|x| - 1) + 1)/(-3(2|x| - 1) + 4))^2 + 4((3(2|x| - 1) + 1)/(-3(2|x| - 1) + 4)) - 4 and g(x) = 1cos(3π(4x - 5) - 3) - 3 between the vertical lines x = -0.6 and 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) = -5((-3x + 1)/(-2x + 1)) + 4, g(x) = 2x + 5, x = -4.1, 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|(-2sin(1πx + 3) - 2) + 1|, g(x) = 2|x - 2|, x = -0.2, 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) = 4(3cos(1πx + 1))^2 + 5(3cos(1πx + 1)) + 4 and g(x) = 5x - 2 between the vertical lines x = 4.0 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|(-1sin(3πx) - 3) + 3| and g(x) = 3x - 5 from x = 1.1 to x = 1.3. Round to 1 decimal place.

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


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

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (3(-5x + 2) - 2)/(-3(-5x + 2)), g(x) = 3x + 1, x = -0.6, and x = 0.4. Round your answer to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(3cos(2πx + 3) - 3) + 2)/(1(3cos(2πx + 3) - 3) + 2) and g(x) = (-2x - 2)/(3x - 2) from x = -2.6 to 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(-1x^2 + 2x + 4))/(1(-1x^2 + 2x + 4) - 3)) + 1 and g(x) = 1|(2x^2 - 2x + 1) + 3| + 1 from x = 0.0 to 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|(2(-5x^2 + 5x - 1) - 5) - 3| + 3) + 1)/(-1(1|(2(-5x^2 + 5x - 1) - 5) - 3| + 3) + 3) and g(x) = 1(4((3x + 3)/(-1x + 2))^2 - 2((3x + 3)/(-1x + 2)) - 2) + 3 from x = -1.0 to x = -0.5. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = 1|((-1x - 1)/(-3x)) + 1| + 1 and g(x) = 1|x + 2| + 2 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) = (-1(3|(-1(-3e^(1x) + 3)^2 - 1(-3e^(1x) + 3) + 1) + 1| + 1))/(1(3|(-1(-3e^(1x) + 3)^2 - 1(-3e^(1x) + 3) + 1) + 1| + 1) - 2), g(x) = -2|(-2cos(3π(-1x + 5) + 3) - 1) + 1| - 1, x = -1.5, and x = -1.2. 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|(-1((-1x + 1)/(-3x - 1))^2 - 5((-1x + 1)/(-3x - 1)) - 1) - 3| + 3 and g(x) = -5(-2|x - 3| + 3) - 3 from x = -0.3 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) = -3|(-4(2sin(3πx + 1) + 2) - 2)| and g(x) = (-3(-5x - 3))/(1(-5x - 3) - 3) from x = -1.6 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) = (-3(-3cos(3π(1(-3|x + 1| + 2)^2 - 4(-3|x + 1| + 2) + 2) + 1) + 1) - 2)/(-3(-3cos(3π(1(-3|x + 1| + 2)^2 - 4(-3|x + 1| + 2) + 2) + 1) + 1) + 4), g(x) = 3(-2|((3x - 2)/(-2x + 1)) + 2| + 1), x = 0.2, 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) = 3(-4((3x)/(1x + 2)) + 4)^2 + 3(-4((3x)/(1x + 2)) + 4) - 5 and g(x) = (2(-5x^2 + 1x - 3) - 2)/(-1(-5x^2 + 1x - 3) - 1) between the vertical lines x = 0.8 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) = -2|(1(2cos(2π(-5x - 1) + 3))^2 + 3(2cos(2π(-5x - 1) + 3)) + 2) + 1| and g(x) = 3cos(2π((2(4x^2 - 4x + 3) - 1)/(-1(4x^2 - 4x + 3) - 3)) - 2) - 2 from x = -4.6 to x = -4.5. 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(4(-3|x - 2| - 3) - 3) - 2)/(3(4(-3|x - 2| - 3) - 3) - 2) and g(x) = -1cos(2π(-1|x - 1| - 3) - 1) from x = 0.4 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(3cos(3πx) - 3) + 2 and g(x) = -1x^2 + 5x + 2 between the vertical lines x = -1.2 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|(-2cos(3πx + 3) - 3) - 1| + 1) + 3 and g(x) = -2|(1x - 1) + 1| - 2 between the vertical lines x = -1.8 and 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) = -3sin(1π(-1(2x - 3)^2 + 1(2x - 3) - 2) - 3) - 3, g(x) = -4(-2cos(2πx - 1) - 1)^2 + 1(-2cos(2πx - 1) - 1) - 5, x = 4.8, and x = 4.8999999999999995. 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(-3e^(-1(-3|x| + 1)) + 2)^2 + 2(-3e^(-1(-3|x| + 1)) + 2) + 5) - 3, g(x) = 2|(3(-3x^2 - 1x + 3) + 1) + 1| - 2, x = -0.4, and x = 0.4. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = -1(2|x - 2| + 2)^2 + 4(2|x - 2| + 2) - 4, g(x) = (-2x)/(3x - 2), x = 1.4, and x = 2.5. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3cos(1π(-3|x + 1| + 3) - 2) - 1, g(x) = (-3x - 3)/(-1x + 2), x = -3.7, 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) = -4((-1(3(2|x + 2|) - 3) + 3)/(-2(3(2|x + 2|) - 3) + 3))^2 - 1((-1(3(2|x + 2|) - 3) + 3)/(-2(3(2|x + 2|) - 3) + 3)) + 5 and g(x) = 1(-3|(-3x)|)^2 + 2(-3|(-3x)|) + 1 from x = -0.3 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) = 1sin(1π(-2|x + 1| - 2) - 3) + 3, g(x) = -1x^2 + 1x + 5, 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) = (-1(-3|(4(1cos(3πx + 3) + 1) - 2) + 2| + 1) + 1)/(2(-3|(4(1cos(3πx + 3) + 1) - 2) + 2| + 1) + 1), g(x) = (-3(-2|(-1x + 5) + 2| + 2) - 2)/(-1(-2|(-1x + 5) + 2| + 2) + 2), x = 3.3, 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) = 2|(-2(-1x^2 - 5x - 4) + 3) - 3| + 3 and g(x) = 4(-3x - 3)^2 + 4(-3x - 3) + 4 from x = -1.0 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(2cos(1πx - 3) - 3) + 3)/(-1(2cos(1πx - 3) - 3)))^2 - 5((-2(2cos(1πx - 3) - 3) + 3)/(-1(2cos(1πx - 3) - 3))) + 5, g(x) = 2|(1cos(1πx - 3) - 1) + 2| + 1, x = 3.0, and x = 5.0. Round your answer to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-3(-3x - 5))/(-3(-3x - 5) - 1), g(x) = 1x, x = -1.6, 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) = 5(1e^(2(-4(3|x - 3| - 1)^2 - 4(3|x - 3| - 1) - 3)) + 1) - 1 and g(x) = -3(-3|(-5x^2 + 2x - 1) + 1| + 2) - 1 from x = -0.3 to x = 0.7. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = 3|(3sin(1πx + 2) - 1) + 1| - 1, g(x) = 3|x + 2| - 1, x = -2.7, 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(2sin(3πx - 2) - 3) - 2 and g(x) = 5x - 1 between the vertical lines x = 2.9 and x = 3.2. Round to 1 decimal place.

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


[User]
Find the area of the region bounded by the curves f(x) = (-1(4x - 2) - 3)/(-1(4x - 2) - 2), g(x) = -4x + 4, x = 0.1, and x = 0.6. Round your answer to 1 decimal place.

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


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

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(1π(2x) + 3) - 3 and g(x) = -2x - 4 between the vertical lines x = -0.5 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(5((2x + 2)/(-2x - 3))^2 + 4((2x + 2)/(-2x - 3)) + 1) - 4, g(x) = -2((-2x - 3)/(-3x + 4))^2 + 1((-2x - 3)/(-3x + 4)) - 2, x = -1.1, and x = -0.1. Round your answer to 1 decimal place.

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


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

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


[User]
Calculate the area enclosed between the functions f(x) = (2(1cos(2πx + 2) + 3) - 1)/(-1(1cos(2πx + 2) + 3) - 3) and g(x) = (-1x)/(1x - 3) from x = -4.9 to x = -4.8. Round to 1 decimal place.

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


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

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


[User]
Find the area of the region bounded by the curves f(x) = (-2(-4(2x - 2)^2 + 5(2x - 2) - 1) + 3)/(1(-4(2x - 2)^2 + 5(2x - 2) - 1) + 2), g(x) = -1|(1x) - 3| - 3, x = 0.8, and x = 1.9. Round your answer to 1 decimal place.

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


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

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[User]
Calculate the area enclosed between the functions f(x) = -2|(3sin(3π(5x^2 + 5x + 2) - 1) - 3) - 1| and g(x) = -2sin(1π(4x) + 2) - 1 from x = 4.0 to x = 4.4. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2sin(3π(-4x + 1) + 2) + 3 and g(x) = (3x - 1)/(1x + 3) 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((-3(1|x + 1| - 2) - 2)/(1(1|x + 1| - 2) - 2)) - 2 and g(x) = (-3(-2cos(3πx - 1)) + 1)/(1(-2cos(3πx - 1)) - 2) from x = -4.1 to x = -3.7. 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((-2x + 3)/(1x - 3))^2 - 1((-2x + 3)/(1x - 3)) + 3)) and g(x) = 1sin(2π(-3x - 4) - 3) - 1 between the vertical lines x = 1.1 and x = 1.2000000000000002. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(-1e^(-2x))^2 + 2(-1e^(-2x)) - 5 and g(x) = -5x^2 - 4x + 3 between the vertical lines x = -0.5 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) = 1sin(1π(-4((-2x + 1)/(-1x + 2)) + 5) + 3) and g(x) = -5(-3|x - 1| + 1)^2 - 2(-3|x - 1| + 1) + 3 from x = 1.2 to x = 1.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -1|(1((1x - 2)/(-1x))^2 - 2((1x - 2)/(-1x)) - 4)| + 2 and g(x) = 2(2cos(2πx - 2) + 2) - 5 from x = -3.5 to x = -2.9. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (-1(4(1|x + 1| + 2) + 1))/(-3(4(1|x + 1| + 2) + 1) - 3), g(x) = -2(4x^2 - 2x - 2) + 2, x = -0.6, and x = 1.1. Round your answer to 1 decimal place.

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


[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(-3(1x^2 + 5x + 4) - 2) + 3)/(2(-3(1x^2 + 5x + 4) - 2) - 1) and g(x) = 2(-1|x - 3| + 2) - 5 between the vertical lines x = -3.7 and x = -1.3. Round to 1 decimal place.

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


[User]
Calculate the area enclosed between the functions f(x) = (2(-2|(-4(2x + 3)^2 - 5(2x + 3) - 1) - 3| + 3))/(-1(-2|(-4(2x + 3)^2 - 5(2x + 3) - 1) - 3| + 3) - 1) and g(x) = 4(-3|((-3x + 1)/(2x + 2)) - 1| + 3) - 4 from x = -0.4 to x = 0.2. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = -3(1(-3|x - 1| - 2)^2 + 5(-3|x - 1| - 2) - 5) - 3 and g(x) = -4(-3|x - 1| - 1) + 5 from x = 0.2 to x = 1.8. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 2(1sin(3πx - 1)) - 2 and g(x) = -1x^2 + 4x - 2 between the vertical lines x = 3.5 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) = (-2(1(3|x + 2|)^2 - 3(3|x + 2|) - 5) - 2)/(-2(1(3|x + 2|)^2 - 3(3|x + 2|) - 5) + 1) and g(x) = 1(3sin(1πx - 3) - 3)^2 + 3(3sin(1πx - 3) - 3) - 4 from x = -1.9 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) = (-3(-5(-2x)^2 - 3(-2x) + 4) - 1)/(2(-5(-2x)^2 - 3(-2x) + 4) - 1) and g(x) = -2|(3x^2 - 2x + 4) - 2| - 2 from x = -0.3 to x = 0.6. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3cos(3π(-2(3|x + 3| - 2)^2 - 5(3|x + 3| - 2))) - 3 and g(x) = (-1(4x - 4) + 3)/(-1(4x - 4) - 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]
Determine the area of the region enclosed by the graphs of f(x) = -3((-2(-2cos(2πx - 1) - 1) - 2)/(-2(-2cos(2πx - 1) - 1) + 3))^2 + 2((-2(-2cos(2πx - 1) - 1) - 2)/(-2(-2cos(2πx - 1) - 1) + 3)) - 1 and g(x) = (-3(1e^(2x) + 2) - 3)/(1(1e^(2x) + 2) - 2) between the vertical lines x = -0.2 and x = 0.5. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = (2(3|(-4x - 1) + 1| - 3))/(1(3|(-4x - 1) + 1| - 3)), g(x) = 1sin(2π(4x - 2) - 2) + 1, x = 2.9, and x = 3.1. 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(-2cos(1πx) - 2) and g(x) = 3x^2 - 4x - 4 from x = -0.8 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) = -5(-1e^(2x) + 3)^2 + 5(-1e^(2x) + 3) + 4 and g(x) = -1|x + 1| - 2 between the vertical lines x = 0.1 and x = 0.7. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-2(1x - 3) + 3)/(-3(1x - 3)) and g(x) = -1x^2 + 3x + 1 from x = 2.4 to x = 3.6. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(1(-4(-3sin(3πx) - 2) + 4)^2 - 2(-4(-3sin(3πx) - 2) + 4) - 3) - 1)/(2(1(-4(-3sin(3πx) - 2) + 4)^2 - 2(-4(-3sin(3πx) - 2) + 4) - 3) - 1) and g(x) = -2(-1e^(1(1x - 3)) - 2)^2 - 2(-1e^(1(1x - 3)) - 2) + 1 from x = -4.2 to 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) = (2(1(-4(2|x + 3|) + 5)^2 + 4(-4(2|x + 3|) + 5) - 4) + 3)/(-3(1(-4(2|x + 3|) + 5)^2 + 4(-4(2|x + 3|) + 5) - 4) - 2), g(x) = -3|(1(4x^2 + 2x - 5) + 4) - 3| + 2, x = 0.7, and x = 0.9. Round your answer to 1 decimal place.

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

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

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


[User]
Calculate the area enclosed between the functions f(x) = (-1(1x^2 + 1x - 1) - 2)/(2(1x^2 + 1x - 1) - 1) and g(x) = -4x^2 + 5x - 1 from x = -1.8 to x = 1.3. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = 1|((2(-5(-4x + 5)^2 - 5(-4x + 5) + 5) + 1)/(3(-5(-4x + 5)^2 - 5(-4x + 5) + 5)))| - 1, g(x) = -4((3(2e^(1x)) + 2)/(-3(2e^(1x))))^2 - 2((3(2e^(1x)) + 2)/(-3(2e^(1x)))) + 4, x = 0.0, and x = 1.1. Round your answer to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -5(-1((-1x + 1)/(1x - 3))^2 + 1((-1x + 1)/(1x - 3)) + 4) + 4 and g(x) = -5(2|x + 3| - 3)^2 + 3(2|x + 3| - 3) - 2 between the vertical lines x = -2.0 and x = -0.6. 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(-2(1sin(3π((3x - 3)/(-1x)) + 3) + 2) + 2)^2 + 2(-2(1sin(3π((3x - 3)/(-1x)) + 3) + 2) + 2) - 4 and g(x) = -2e^(2(-5(-1x + 3)^2 + 3(-1x + 3) - 1)) between the vertical lines x = 1.1 and x = 1.3. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -3(1cos(1πx + 2))^2 + 4(1cos(1πx + 2)) + 2 and g(x) = 4x^2 + 3x + 1 between the vertical lines x = -1.1 and x = -0.1. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1(-2sin(1π((-1(-1x^2 + 3x + 1) - 1)/(2(-1x^2 + 3x + 1) - 1)) + 1) + 3) + 2 and g(x) = -3(-1(-2cos(3πx) - 2) - 4)^2 - 4(-1(-2cos(3πx) - 2) - 4) + 2 between the vertical lines x = -0.1 and x = 3.2. Round to 1 decimal place.

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[User]
Find the area of the region bounded by the curves f(x) = -3(1sin(1πx - 2)) + 1, g(x) = (3x - 1)/(1x - 3), x = -4.3, and x = -3.4. Round your answer to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = 2cos(3π(-2|x + 3| - 1)) - 1 and g(x) = (1x - 1)/(3x + 1) from x = 3.6 to x = 3.8. Round to 1 decimal place.

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = 1|(-1(1x^2 - 4x - 1) - 2) - 2| - 3 and g(x) = -3|((1x - 2)/(2x + 1))| + 1 between the vertical lines x = 0.4 and x = 4.1. Round to 1 decimal place.

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

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(3e^(1(1|x - 1|)) + 1) + 1)/(3(3e^(1(1|x - 1|)) + 1) - 2) and g(x) = (2(2x^2 - 5x - 3) - 2)/(-1(2x^2 - 5x - 3)) between the vertical lines x = -0.7 and x = 3.2. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-2(3(-1|x - 3| + 1)^2 + 4(-1|x - 3| + 1) + 1) - 2)/(-3(3(-1|x - 3| + 1)^2 + 4(-1|x - 3| + 1) + 1) + 4) and g(x) = -1e^(1((2x - 1)/(1x))) between the vertical lines x = 2.0 and x = 4.0. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (1(-3cos(1π(5x^2 - 5x - 1) - 1) + 3))/(2(-3cos(1π(5x^2 - 5x - 1) - 1) + 3) + 3) and g(x) = -1|((-3x)/(2x - 1))| + 3 between the vertical lines x = 0.3 and x = 1.1. Round to 1 decimal place.

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[User]
Determine the area of the region enclosed by the graphs of f(x) = -2((1(-2x^2 + 5x + 5) - 2)/(3(-2x^2 + 5x + 5) - 2)) - 4 and g(x) = -1((2x)/(2x + 1))^2 - 2((2x)/(2x + 1)) + 5 between the vertical lines x = -0.7 and x = -0.4. Round to 1 decimal place.

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[User]
Calculate the area enclosed between the functions f(x) = (-1(1e^(-2x) + 3) - 3)/(-1(1e^(-2x) + 3)) and g(x) = 1|x + 2| from x = -3.0 to x = -0.4. Round to 1 decimal place.

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

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[User]
Determine the area of the region enclosed by the graphs of f(x) = (-1(2cos(3πx + 2) + 3) - 3)/(-1(2cos(3πx + 2) + 3) + 3) and g(x) = -2|x| + 1 between the vertical lines x = 4.7 and x = 4.9. Round to 1 decimal place.

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