What is the integral of (x^{5/6}) ?

The integral of (x^{5/6}) is 6/11 x^{11/6}+C

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integral of (x^{5/6})

\int (x^{\frac{5}{6}}) d x

\frac{6}{11} x^{\frac{11}{6}} + C

Solution steps

\int x^{\frac{5}{6}} d x

Apply the Power Rule

: \frac{6}{11} x^{\frac{11}{6}}

= \frac{6}{11} x^{\frac{11}{6}}

Add a constant to the solution

= \frac{6}{11} x^{\frac{11}{6}} + C

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What is the integral of (x^{5/6}) ?
The integral of (x^{5/6}) is 6/11 x^{11/6}+C