Evaluate the indefinite integral .

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

Problem

Evaluate the indefinite integral

\displaystyle \int x e^{2x}\,dx

. (a)

\dfrac{e^{2x}x}{2}+C

(b)

e^{2x}\left(\dfrac{x}{2}+\dfrac14\right)+C

(c)

e^{2x}\left(\dfrac{x}{2}-\dfrac14\right)+C

(d)

e^{2x}\left(x-\dfrac12\right)+C