Calculus Examples

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

Step 1

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

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

Step 2

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

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