Calculus Examples

${\sin (x)}^{n}$

Step 1

Differentiate using the Exponential Rule which states that $\frac{d}{d n} [a^{n}]$ is $a^{n} \ln (a)$ where $a$ = $\sin (x)$ .

${\sin (x)}^{n} \ln (\sin (x))$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$