What is the integral of \sqrt[3]{y^2} ?

The integral of \sqrt[3]{y^2} is 3/5 y^{5/3}+C

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integral of \sqrt[3]{y^2}

\frac{3}{5} y^{\frac{5}{3}} + C

Solution steps

assuming

y \geq 0

= \int y^{\frac{2}{3}} d y

Apply the Power Rule

: \frac{3}{5} y^{\frac{5}{3}}

= \frac{3}{5} y^{\frac{5}{3}}

Add a constant to the solution

= \frac{3}{5} y^{\frac{5}{3}} + C

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What is the integral of \sqrt[3]{y^2} ?
The integral of \sqrt[3]{y^2} is 3/5 y^{5/3}+C