Trigonometric Substitution - Analytic Geometry and Calculus II | Lecture 29

In this lecture we continue our exploration of integration techniques, this time focusing on trigonometric substitution. The method takes integrands that (typically) don't involve trigonometric functions and introducing a substitutions of the dependent variable for a trigonometric function. With the help of trigonometric identities, we find that the resulting integral is much more manageable. To undo the substitution we recall basic principles from trigonometry to write the result back in terms of the original independent variable.

This course is taught by Jason Bramburger for George Mason University.

Course Topics and Goals: At the end of the semester, students should be able to solve various geometry and physics problems that are modelled with definite integrals, use techniques to evaluate integrals, understand infinite series and power series, and be able to identify and graph conic sections and basic parameter and polar curves.