Answer
Rewrite: $\int x^{\frac{1}{3}}dx$
Integrate: $\int x^{\frac{1}{3}}=\dfrac{1}{\frac{1}{3}+1}\times x^{\frac{1}{3}+1}+C$
Simplify: $\int x^{\frac{1}{3}}=\dfrac{3x^{\frac{4}{3}}}{4}+C$
Work Step by Step
Rewrite the radical as a power.
Integrate using the basic integration rules.
Add and multiply out the numbers and add a constant $C.$