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AP Calculus BC/Unit 8: Applications of Integration
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Area Between Trigonometric Curves

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Which of the following integrals represents the area of the region bounded by the graphs of y = sin(x), y = cos(x), x = 0, and x = π/4?

A

∫₀^(π/4) |sin(x) - cos(x)| dx

B

∫₀^(π/4) (sin(x) - cos(x)) dx

C

∫₀^(π/4) (cos²(x) - sin²(x)) dx

D

∫₀^(π/4) (cos(x) - sin(x)) dx

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