What is the integral of (x^{1/4}) ?

The integral of (x^{1/4}) is 4/5 x^{5/4}+C

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integral of (x^{1/4})

\int (x^{\frac{1}{4}}) d x

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

Solution steps

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

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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