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

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

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integral of x^{(1/2)}

integral

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

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

Solution steps

\int x^{\frac{1}{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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