Evaluate for a non-zero constant .

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

Problem

Evaluate

\displaystyle \int x\cos(ax)\,dx

for a non-zero constant

a

. (a)

\dfrac{x}{a}\cos(ax)+\dfrac{1}{a^{2}}\sin(ax)+C

(b)

\dfrac{x}{a}\sin(ax)+\dfrac{1}{a^{2}}\cos(ax)+C

(c)

\dfrac{x}{a}\sin(ax)+\dfrac{1}{a}\cos(ax)+C

(d)

\dfrac{x}{a}\sin(ax)-\dfrac{1}{a^{2}}\cos(ax)+C