Math 2300 Section 005 – Calculus II – Fall 2010

Trigonometric Substitution Examples – September 3, 2010

The main idea of using trigonometric substitution is that a substitution plus a trig identity can be used together to simplify an integral. There are three primary categories into which trig substitutions fall, listed here. (I'm listing them all here since your book really only does two of them.) As we discussed in class, the domain needs to be restricted as the evaluation of the integral will depend on an inverse trig function.

When You See | Try to Substitute | Domain | Use the Identity |
---|---|---|---|

or |