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