Trigonometric Integrals - Analytic Geometry and Calculus II | Lecture 28

In this lecture we continue our discussion of integration techniques, here focusing on integrals involving powers and products of trigonometric functions. It is shown that some common trigonometric identities can be used to arrive at integrals that are much more manageable. We demonstrate by considering products of sines and cosines, tangents and secants, as well as roots involving cosine functions. Although there is no unified theory presented of trigonometric integrals, the diverse range of examples help to shed light on solving many of the most common trigonometric integrals.

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.