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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

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