What is the integral of 1/((\sqrt[3]{x))} ?

The integral of 1/((\sqrt[3]{x))} is 3/2 x^{2/3}+C

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integral of 1/((\sqrt[3]{x))}

\int \frac{1}{( 3 x )} d x

\frac{3}{2} x^{\frac{2}{3}} + C

Solution steps

\int \frac{1}{3 x} d x

Apply the Power Rule

: \frac{3}{2} x^{\frac{2}{3}}

= \frac{3}{2} x^{\frac{2}{3}}

Add a constant to the solution

= \frac{3}{2} x^{\frac{2}{3}} + C

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What is the integral of 1/((\sqrt[3]{x))} ?
The integral of 1/((\sqrt[3]{x))} is 3/2 x^{2/3}+C