A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Find

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

. (a)

\dfrac{e^{2x}}{4}(2x+1)+C

(b)

\dfrac{e^{2x}}{2}(x+1)+C

(c)

\dfrac{e^{2x}}{4}(2x-1)+C

(d)

\dfrac{e^{2x}}{4}\bigl(x^{2}-1\bigr)+C