What is the antiderivative of x^(1/2)?

Jul 5, 2016

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

Explanation:

use the power rule

$\int \mathrm{dx} q \quad {x}^{n} = \frac{{x}^{n + 1}}{n + 1}$

so here it

$\int \mathrm{dx} q \quad {x}^{\frac{1}{2}} = \frac{{x}^{\left(\frac{1}{2}\right) + 1}}{\left(\frac{1}{2}\right) + 1}$

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