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Popular Calculus >

integral of x^{(-1)/3}

Solution

\int x^{\frac{- 1}{3}} d x

Solution

\frac{3}{2} x^{\frac{2}{3}} + C

Solution steps

\int x^{\frac{- 1}{3}} d x

Apply the Power Rule

= \frac{3}{2} x^{\frac{2}{3}}

Add a constant to the solution

= \frac{3}{2} x^{\frac{2}{3}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^{(-1)/3} ?
The integral of x^{(-1)/3} is 3/2 x^{2/3}+C