What is the integral of 1/(x^{5/8)} ?

The integral of 1/(x^{5/8)} is 8/3 x^{3/8}+C

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integral of 1/(x^{5/8)}

\int \frac{1}{x ^{\frac{5}{8}}} d x

\frac{8}{3} x^{\frac{3}{8}} + C

Solution steps

\int \frac{1}{x ^{\frac{5}{8}}} d x

Apply the Power Rule

: \frac{8}{3} x^{\frac{3}{8}}

= \frac{8}{3} x^{\frac{3}{8}}

Add a constant to the solution

= \frac{8}{3} x^{\frac{3}{8}} + C

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What is the integral of 1/(x^{5/8)} ?
The integral of 1/(x^{5/8)} is 8/3 x^{3/8}+C