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

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

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

Solution steps

Simplify

= \int \frac{1}{x ^{\frac{2}{3}}} d x

Apply the Power Rule

: 3 x^{\frac{1}{3}}

= 3 x^{\frac{1}{3}}

Apply radical rule:

Add a constant to the solution

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