What is the integral of \sqrt[3]{u} ?

The integral of \sqrt[3]{u} is 3/4 u^{4/3}+C

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integral of \sqrt[3]{u}

\frac{3}{4} u^{\frac{4}{3}} + C

Solution steps

Apply the Power Rule

: \frac{3}{4} u^{\frac{4}{3}}

= \frac{3}{4} u^{\frac{4}{3}}

Add a constant to the solution

= \frac{3}{4} u^{\frac{4}{3}} + C

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What is the integral of \sqrt[3]{u} ?
The integral of \sqrt[3]{u} is 3/4 u^{4/3}+C