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Popular >

integral of x^{-3/2}

Solution

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

Solution

- \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

Graph

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Frequently Asked Questions (FAQ)

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