What is the integral of 1/(sqrt(x)\sqrt[4]{x)} ?

The integral of 1/(sqrt(x)\sqrt[4]{x)} is 4\sqrt[4]{x}+C

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integral of 1/(sqrt(x)\sqrt[4]{x)}

Solution steps

Simplify

= \int \frac{1}{x ^{\frac{3}{4}}} d x

Apply the Power Rule

: 4 x^{\frac{1}{4}}

= 4 x^{\frac{1}{4}}

Apply radical rule:

Add a constant to the solution

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What is the integral of 1/(sqrt(x)\sqrt[4]{x)} ?
The integral of 1/(sqrt(x)\sqrt[4]{x)} is 4\sqrt[4]{x}+C