Determine the antiderivative of .

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Determine the antiderivative of

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

. (a)

\dfrac12 x e^{2x} - \dfrac14 e^{2x} + C

(b)

\dfrac12 x e^{2x} + \dfrac14 e^{2x} + C

(c)

x e^{2x} - \dfrac12 e^{2x} + C

(d)

\dfrac12 x^{2} e^{2x} + C