What is the integral of (\sqrt[5]{x}) ?

The integral of (\sqrt[5]{x}) is 5/6 x^{6/5}+C

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integral of (\sqrt[5]{x})

\frac{5}{6} x^{\frac{6}{5}} + C

Solution steps

Apply the Power Rule

: \frac{5}{6} x^{\frac{6}{5}}

= \frac{5}{6} x^{\frac{6}{5}}

Add a constant to the solution

= \frac{5}{6} x^{\frac{6}{5}} + C

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What is the integral of (\sqrt[5]{x}) ?
The integral of (\sqrt[5]{x}) is 5/6 x^{6/5}+C