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

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

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

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

\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}}

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

Add a constant to the solution

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

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