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

The integral of x^{(-1)/4} is 4/3 x^{3/4}+C

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integral of x^{(-1)/4}

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

\frac{4}{3} x^{\frac{3}{4}} + C

Solution steps

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

Apply the Power Rule

: \frac{4}{3} x^{\frac{3}{4}}

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

Add a constant to the solution

= \frac{4}{3} x^{\frac{3}{4}} + C

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What is the integral of x^{(-1)/4} ?
The integral of x^{(-1)/4} is 4/3 x^{3/4}+C