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

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

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

integral

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

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

x^{2} 1 + 4 x^{2}

\frac{1}{( x ( x ^{2} + 1 ) ^{2} )}

5 + x

(sin (x))^{2}

e^{\frac{- 1}{x}}