Calculus Examples

$\int \arctan (x) d x$

Step 1

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

$\arctan (x)$

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