Integration by Parts - Analytic Geometry and Calculus II | Lecture 27

In this lecture we introduce the integration technique known as integration by parts. This technique seeks to undo the product rule for derivatives and can be used to greatly simplify seemingly difficult integrals. A number of examples are illustrated, primarily involving products of polynomials or transcendental functions with other transcendental functions. We initial present the technique for indefinite integrals and then turn to definite integrals at the end.

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.