What is the integral of u^{(-1)/2} ?

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

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integral of u^{(-1)/2}

\int u^{\frac{- 1}{2}} d u

2 u^{\frac{1}{2}} + C

Solution steps

\int u^{\frac{- 1}{2}} d u

Apply the Power Rule

: 2 u^{\frac{1}{2}}

= 2 u^{\frac{1}{2}}

Add a constant to the solution

= 2 u^{\frac{1}{2}} + C

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