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Popular Calculus >

integral of u^{-1/3}

Solution

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

Solution

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

Solution steps

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

Apply the Power Rule

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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