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

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

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integral of \sqrt[3]{z}

\int 3 z d z

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

Solution steps

\int 3 z d z

Apply the Power Rule

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

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

Add a constant to the solution

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

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