What is the integral of (sqrt(x))/(\sqrt[3]{x)1} ?

The integral of (sqrt(x))/(\sqrt[3]{x)1} is 6/7 x^{7/6}+C

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integral of (sqrt(x))/(\sqrt[3]{x)1}

\frac{6}{7} x^{\frac{7}{6}} + C

Solution steps

Simplify

Apply the Power Rule

: \frac{6}{7} x^{\frac{7}{6}}

= \frac{6}{7} x^{\frac{7}{6}}

Add a constant to the solution

= \frac{6}{7} x^{\frac{7}{6}} + C

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What is the integral of (sqrt(x))/(\sqrt[3]{x)1} ?
The integral of (sqrt(x))/(\sqrt[3]{x)1} is 6/7 x^{7/6}+C