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

The integral of (\sqrt[3]{x})/(x^2) is -3/(2x^{2/3)}+C

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integral of (\sqrt[3]{x})/(x^2)

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

Solution steps

Simplify

= \int \frac{1}{x ^{\frac{5}{3}}} d x

Apply the Power Rule

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

Add a constant to the solution

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

What is the integral of (\sqrt[3]{x})/(x^2) ?
The integral of (\sqrt[3]{x})/(x^2) is -3/(2x^{2/3)}+C