What is the integral of x^{(-5)/2} ?

The integral of x^{(-5)/2} is -2/(3x^{3/2)}+C

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integral of x^{(-5)/2}

\int x^{\frac{- 5}{2}} d x

- \frac{2}{3 x ^{\frac{3}{2}}} + C

Solution steps

\int x^{\frac{- 5}{2}} d x

Apply the Power Rule

: - \frac{2}{3 x ^{\frac{3}{2}}}

= - \frac{2}{3 x ^{\frac{3}{2}}}

Add a constant to the solution

= - \frac{2}{3 x ^{\frac{3}{2}}} + C

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What is the integral of x^{(-5)/2} ?
The integral of x^{(-5)/2} is -2/(3x^{3/2)}+C