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Popular Calculus >

integral of x^{8/3}

Solution

\int x^{\frac{8}{3}} d x

Solution

\frac{3}{11} x^{\frac{11}{3}} + C

Solution steps

\int x^{\frac{8}{3}} d x

Apply the Power Rule

= \frac{3}{11} x^{\frac{11}{3}}

Add a constant to the solution

= \frac{3}{11} x^{\frac{11}{3}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^{8/3} ?
The integral of x^{8/3} is 3/11 x^{11/3}+C