This document discusses integration involving inverse trigonometric functions. It provides the main integration rules for arcsine, arccosine, arctangent, arccotangent, arcsecant, and arccscant. Examples are given to illustrate how to use trigonometric substitutions and completing the square technique to evaluate integrals that involve inverse trigonometric functions. Strategies are presented for determining which integration rule to apply based on the form of the integrand.