Example 02 | The General Power Formula

$\displaystyle \int \sqrt{ax + b} ~ dx$

$= \displaystyle \dfrac{1}{a}\int (ax + b)^{1/2} \, (a \, dx)$

$= \dfrac{1}{a} \, \dfrac{(ax + b)^{3/2}}{3/2}$

$= \dfrac{2}{3a} (ax + b)^{3/2}$           answer