Calculus Examples

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

Step 1

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

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

Step 2

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

$\arctan (y) + C$