AP

MATHEMATICS · Single correct · AP · Calculus BC · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Find

\displaystyle \int x \cos 3x\,dx

. (a)

\dfrac{x\sin 3x}{3}+\dfrac{\cos 3x}{3}+C

(b)

\dfrac{x^{2}\sin 3x}{6}+C

(c)

\dfrac{x\sin 3x}{3}+\dfrac{\cos 3x}{9}+C

(d)

\dfrac{x\sin 3x}{3}-\dfrac{\cos 3x}{9}+C