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AP® Calculus AB-BC

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Antiderivative of a Trigonometric Function

APCALC-NWEDQJ

Find the antiderivative, $\int \sin(3x)+\cos(3x)dx$.

A

$\cfrac{1}{3}\cos(3x)+\cfrac{1}{3}\sin(3x)+C$

B

$-\cfrac{1}{3}\cos(3x)+\cfrac{1}{3}\sin(3x)+C$

C

$3\cos(3x)+3\sin(3x)+C$

D

$3\cos(3x)-3\sin(3x)+C$