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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\int \frac{2}{x} + \frac{1}{4 x ^{2} + 1} - x^{- \frac{3}{2}} d x

\int 4 x + sin (x) d x

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