What is the integral of \sqrt[3]{8x^2} ?

The integral of \sqrt[3]{8x^2} is 6/5 x^{5/3}+C

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integral of \sqrt[3]{8x^2}

\frac{6}{5} x^{\frac{5}{3}} + C

Solution steps

Apply Integration By Parts

\int \frac{4 x ^{2}}{3 ( x ^{2} ) ^{\frac{2}{3}}} d x = \frac{4}{5} x^{\frac{5}{3}}

Simplify

= \frac{6}{5} x^{\frac{5}{3}}

Add a constant to the solution

= \frac{6}{5} x^{\frac{5}{3}} + C

What is the integral of \sqrt[3]{8x^2} ?
The integral of \sqrt[3]{8x^2} is 6/5 x^{5/3}+C