Calculus Examples

$\int \frac{1}{1 + x^{2}} d x$

Step 1

Rewrite $1$ as $1^{2}$ .

$\int \frac{1}{1^{2} + x^{2}} d x$

Step 2

The integral of $\frac{1}{1^{2} + x^{2}}$ with respect to $x$ is $\arctan (x) + C$ .

$\arctan (x) + C$