What is the integral of x^{(-5)/4} ?

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

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integral of x^{(-5)/4}

\int x^{\frac{- 5}{4}} d x

- \frac{4}{x ^{\frac{1}{4}}} + C

Solution steps

\int x^{\frac{- 5}{4}} d x

Apply the Power Rule

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

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

Add a constant to the solution

= - \frac{4}{x ^{\frac{1}{4}}} + C

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