What is the integral of sqrt(\sqrt{x)} ?

The integral of sqrt(\sqrt{x)} is 4/5 x^{5/4}+C

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integral of sqrt(\sqrt{x)}

\int x d x

\frac{4}{5} x^{\frac{5}{4}} + C

Solution steps

\int x d x

assuming

x \geq 0

Apply the Power Rule

: \frac{4}{5} x^{\frac{5}{4}}

= \frac{4}{5} x^{\frac{5}{4}}

Add a constant to the solution

= \frac{4}{5} x^{\frac{5}{4}} + C

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What is the integral of sqrt(\sqrt{x)} ?
The integral of sqrt(\sqrt{x)} is 4/5 x^{5/4}+C