Calculus Examples

$\int \sin^{4} (x) d x$

$\int \sin^{4} (x) d x$ is an antiderivative of $\sin^{4} (x)$ , so by definition $\frac{d}{d x} [\int \sin^{4} (x) d x]$ is $\sin^{4} (x)$ .

$\sin^{4} (x)$

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