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

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

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integral of 1/(x^{4/5)}

\int \frac{1}{x ^{\frac{4}{5}}} d x

5 x^{\frac{1}{5}} + C

Solution steps

\int \frac{1}{x ^{\frac{4}{5}}} d x

Apply the Power Rule

: 5 x^{\frac{1}{5}}

= 5 x^{\frac{1}{5}}

Add a constant to the solution

= 5 x^{\frac{1}{5}} + C

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