Answer
$\displaystyle \frac{4}{5}x^{5/4}+C$
Work Step by Step
written in exponential form,
$\displaystyle \int x^{1/4}dx=$... Power Rule,$( n\neq -1)$
$=\displaystyle \frac{x^{1/4+1}}{\frac{1}{4}+1}+C$
$=\displaystyle \frac{4}{5}x^{5/4}+C$