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Popular Calculus >

integral of x^{1/8}

Solution

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

Solution

\frac{8}{9} x^{\frac{9}{8}} + C

Solution steps

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

Apply the Power Rule

= \frac{8}{9} x^{\frac{9}{8}}

Add a constant to the solution

= \frac{8}{9} x^{\frac{9}{8}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^{1/8} ?
The integral of x^{1/8} is 8/9 x^{9/8}+C