Calculus Examples

$\int \sqrt{y} d y$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{y}$ as $y^{\frac{1}{2}}$ .

$\int y^{\frac{1}{2}} d y$

Step 2

By the Power Rule, the integral of $y^{\frac{1}{2}}$ with respect to $y$ is $\frac{2}{3} y^{\frac{3}{2}}$ .

$\frac{2}{3} y^{\frac{3}{2}} + C$