Answer
$\dfrac{3}{2}x^{\frac{2}{3}}+C$
Work Step by Step
Here, $\int x^{-1/3}dx=\dfrac{3}{2}x^{\frac{2}{3}}+C$
Also,$\dfrac{d}{dx}(\dfrac{3}{2}x^{\frac{2}{3}}+C)=x^{-1/3}$
Thus, the derivative of the integral is integrand. So, the answer is correct.