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

The integral of x^{(-1)/5} is 5/4 x^{4/5}+C

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

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

\frac{5}{4} x^{\frac{4}{5}} + C

Solution steps

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

Apply the Power Rule

: \frac{5}{4} x^{\frac{4}{5}}

= \frac{5}{4} x^{\frac{4}{5}}

Add a constant to the solution

= \frac{5}{4} x^{\frac{4}{5}} + C

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What is the integral of x^{(-1)/5} ?
The integral of x^{(-1)/5} is 5/4 x^{4/5}+C