AP® Calculus AB-BC

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Integrating a Trig Function

APCALC-KHWXEK

Evaluate the indefinite integral, $\int \sin(2x)\cos(2x)dx$.

A

$\cfrac{1}{4}\sin\left ( 2x \right )+C$

B

$-\cfrac{1}{4}\cos\left ( 2x \right )+C$

C

$-\cfrac{1}{8}\cos\left ( 4x \right )+C$

D

$\cfrac{1}{8}\sin\left ( 4x \right )+C$