Category:Examples of Use of Primitive of Reciprocal of x squared plus a squared

This category contains examples of use of Primitive of $\dfrac 1 {x^2 + a^2}$.

Arctangent Form

$\ds \int \frac {\d x} {x^2 + a^2} = \frac 1 a \arctan \frac x a + C$

Arccotangent Form

$\ds \int \frac {\d x} {x^2 + a^2} = -\frac 1 a \arccot \frac x a + C$