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

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

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integral of \sqrt[3]{x}

integral

3 x

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

Solution steps

\int 3 x d x

Apply the Power Rule

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

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

Add a constant to the solution

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

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