Show that , where , , and are constants and…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Show that

\displaystyle \int (ax + b)e^{kx}\,dx = e^{kx}\left(\dfrac{ax + b}{k} - \dfrac{a}{k^{2}}\right)+C

, where

a

b

, and

k

are constants and

k\neq 0