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Popular Calculus >

integral of (\sqrt[6]{x^7})

Solution

Solution

\frac{6}{13} x^{\frac{13}{6}} + C

Solution steps

assuming

x \geq 0

= \int x^{\frac{7}{6}} d x

Apply the Power Rule

= \frac{6}{13} x^{\frac{13}{6}}

Add a constant to the solution

= \frac{6}{13} x^{\frac{13}{6}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (\sqrt[6]{x^7}) ?
The integral of (\sqrt[6]{x^7}) is 6/13 x^{13/6}+C