Answer
$\dfrac{3}{2}x^{\frac{2}{3}}+C$
Work Step by Step
Since, we have $\int x^{-1/3}dx=\dfrac{3}{2}x^{\frac{2}{3}}+C$
and
$\dfrac{d}{dx}(\dfrac{3}{2}x^{\frac{2}{3}}+C)=x^{-1/3}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.