What is the integral of (x^{3/5})/(x^{4/5)} ?

The integral of (x^{3/5})/(x^{4/5)} is 5/4 x^{4/5}+C

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integral of (x^{3/5})/(x^{4/5)}

\int \frac{x ^{\frac{3}{5}}}{x ^{\frac{4}{5}}} d x

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

Solution steps

\int \frac{x ^{\frac{3}{5}}}{x ^{\frac{4}{5}}} d x

Simplify

\frac{x ^{\frac{3}{5}}}{x ^{\frac{4}{5}}} : \frac{1}{x ^{\frac{1}{5}}}

= \int \frac{1}{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^{3/5})/(x^{4/5)} ?
The integral of (x^{3/5})/(x^{4/5)} is 5/4 x^{4/5}+C