Let be a constant

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

Problem

Let

k\neq 0

be a constant. Determine

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

in terms of

k

. (a)

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

(b)

\dfrac{x e^{k x}}{k} - \dfrac{e^{k x}}{k} + C

(c)

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

(d)

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