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

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

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

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

Solution steps

Simplify

Apply the Power Rule

: \frac{6}{5} x^{\frac{5}{6}}

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

Add a constant to the solution

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

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