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AP® Calculus AB-BC

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Difficult

Basic Integration: U-Substitution with Unit Circle Values

APCALC-$HTW1M

Evaluate:

$$\int_{\frac{-\pi}{3}}^{\frac{5\pi}{3}}{sin(x)*e^{cos(x)}dx}$$

A

$0$

B

$e^\frac{1}{2}$

C

$2e^\frac{1}{2}$

D

$\sqrt{3}e^\frac{1}{2}$