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

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

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

integral

\frac{1}{x ^{\frac{1}{3}}}

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

Solution steps

\int \frac{1}{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

\frac{10}{x}

\frac{( 1 - z ) ^{5}}{10}

\frac{sin ^{3} ( x )}{cos ^{2} ( x )}

- 3 t^{2}

\frac{x}{12}

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