Calculus Examples

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

Step 1

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

$\frac{1}{x} \arctan (\frac{y}{x}) + C$

Step 2

Combine $\frac{1}{x}$ and $\arctan (\frac{y}{x})$ .

$\frac{\arctan (\frac{y}{x})}{x} + C$