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Popular Calculus >

integral of \sqrt[7]{x^9}

Solution

Solution

\frac{7}{16} x^{\frac{16}{7}} + C

Solution steps

assuming

x \geq 0

= \int x^{\frac{9}{7}} d x

Apply the Power Rule

= \frac{7}{16} x^{\frac{16}{7}}

Add a constant to the solution

= \frac{7}{16} x^{\frac{16}{7}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of \sqrt[7]{x^9} ?
The integral of \sqrt[7]{x^9} is 7/16 x^{16/7}+C