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Popular Calculus >

integral of \sqrt[5]{x^3}

Solution

Solution

\frac{5}{8} x^{\frac{8}{5}} + C

Solution steps

assuming

x \geq 0

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

Apply the Power Rule

= \frac{5}{8} x^{\frac{8}{5}}

Add a constant to the solution

= \frac{5}{8} x^{\frac{8}{5}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of \sqrt[5]{x^3} ?
The integral of \sqrt[5]{x^3} is 5/8 x^{8/5}+C