AP

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

Problem

Determine

\displaystyle \int x\sin\!\left(3x+\dfrac{\pi}{4}\right)\,dx

. (a)

-\dfrac{x}{3}\cos\!\left(3x+\dfrac{\pi}{4}\right)-\dfrac{1}{9}\sin\!\left(3x+\dfrac{\pi}{4}\right)+C

(b)

-\dfrac{x}{3}\sin\!\left(3x+\dfrac{\pi}{4}\right)+\dfrac{1}{9}\cos\!\left(3x+\dfrac{\pi}{4}\right)+C

(c)

-\dfrac{x}{3}\cos\!\left(3x+\dfrac{\pi}{4}\right)+\dfrac{1}{9}\sin\!\left(3x+\dfrac{\pi}{4}\right)+C

(d)

-\dfrac{x}{3}\cos\!\left(3x+\dfrac{\pi}{4}\right)+\dfrac{1}{6}\sin\!\left(3x+\dfrac{\pi}{4}\right)+C