What is the integral of \sqrt[11]{x} ?

The integral of \sqrt[11]{x} is 11/12 x^{12/11}+C

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integral of \sqrt[11]{x}

\frac{11}{12} x^{\frac{12}{11}} + C

Solution steps

Apply the Power Rule

: \frac{11}{12} x^{\frac{12}{11}}

= \frac{11}{12} x^{\frac{12}{11}}

Add a constant to the solution

= \frac{11}{12} x^{\frac{12}{11}} + C

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What is the integral of \sqrt[11]{x} ?
The integral of \sqrt[11]{x} is 11/12 x^{12/11}+C