Calculus Examples

$\int u^{n} d u = \frac{u^{2}}{2} + c$

Step 1

By the Power Rule, the integral of $u^{n}$ with respect to $u$ is $\frac{1}{n + 1} u^{n + 1}$ .

$\frac{1}{n + 1} u^{n + 1} + C$

Step 2

Combine $\frac{1}{n + 1}$ and $u^{n + 1}$ .

$\frac{u^{n + 1}}{n + 1} + C$