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

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

Inverse Hyperbolic Sine Form

$\ds \int \frac {\d x} {\sqrt {x^2 + a^2} } = \arsinh {\frac x a} + C$

Logarithm Form

$\ds \int \frac {\d x} {\sqrt {x^2 + a^2} } = \map \ln {x + \sqrt {x^2 + a^2} } + C$