What is the integral of 1/(\sqrt[7]{x)} ?

The integral of 1/(\sqrt[7]{x)} is 7/6 x^{6/7}+C

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integral of 1/(\sqrt[7]{x)}

\frac{7}{6} x^{\frac{6}{7}} + C

Solution steps

Apply the Power Rule

: \frac{7}{6} x^{\frac{6}{7}}

= \frac{7}{6} x^{\frac{6}{7}}

Add a constant to the solution

= \frac{7}{6} x^{\frac{6}{7}} + C

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What is the integral of 1/(\sqrt[7]{x)} ?
The integral of 1/(\sqrt[7]{x)} is 7/6 x^{6/7}+C