What is the integral of 1/(x^{5/6)} ?

The integral of 1/(x^{5/6)} is 6x^{1/6}+C

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integral of 1/(x^{5/6)}

\int \frac{1}{x ^{\frac{5}{6}}} d x

6 x^{\frac{1}{6}} + C

Solution steps

\int \frac{1}{x ^{\frac{5}{6}}} d x

Apply the Power Rule

: 6 x^{\frac{1}{6}}

= 6 x^{\frac{1}{6}}

Add a constant to the solution

= 6 x^{\frac{1}{6}} + C

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