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

The integral of x^{(1/3)} is 3/4 x^{4/3}+C

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integral of x^{(1/3)}

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

\frac{3}{4} x^{\frac{4}{3}} + C

Solution steps

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

Apply the Power Rule

: \frac{3}{4} x^{\frac{4}{3}}

= \frac{3}{4} x^{\frac{4}{3}}

Add a constant to the solution

= \frac{3}{4} x^{\frac{4}{3}} + C

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