What is the integral of x/(\sqrt[4]{x)} ?

The integral of x/(\sqrt[4]{x)} is 4/7 x^{7/4}+C

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integral of x/(\sqrt[4]{x)}

\frac{4}{7} x^{\frac{7}{4}} + C

Solution steps

Simplify

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

Apply the Power Rule

: \frac{4}{7} x^{\frac{7}{4}}

= \frac{4}{7} x^{\frac{7}{4}}

Add a constant to the solution

= \frac{4}{7} x^{\frac{7}{4}} + C

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What is the integral of x/(\sqrt[4]{x)} ?
The integral of x/(\sqrt[4]{x)} is 4/7 x^{7/4}+C