What is the integral of (x^{-3/2}) ?

The integral of (x^{-3/2}) is -2/(x^{1/2)}+C

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integral of (x^{-3/2})

\int (x^{- \frac{3}{2}}) d x

- \frac{2}{x ^{\frac{1}{2}}} + C

Solution steps

\int x^{- \frac{3}{2}} d x

Apply the Power Rule

: - \frac{2}{x ^{\frac{1}{2}}}

= - \frac{2}{x ^{\frac{1}{2}}}

Add a constant to the solution

= - \frac{2}{x ^{\frac{1}{2}}} + C

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What is the integral of (x^{-3/2}) ?
The integral of (x^{-3/2}) is -2/(x^{1/2)}+C