Answer
$\displaystyle \frac{3}{4}x^{4/3}+C$
Work Step by Step
written in exponential form,
$\displaystyle \int x^{1/3}dx=$... Power Rule,$( n\neq-1)$
$=\displaystyle \frac{x^{1/3+1}}{\frac{1}{3}+1}+C$
$=\displaystyle \frac{3}{4}x^{4/3}+C$