In this lesson on Integration by Parts, you’ll learn how to simplify difficult integrals using the product rule. This technique involves letting u equal one factor and dv equal the other, anti-differentiating both sides, and then rearranging the formula to isolate the integral. The lesson includes examples of integrating x*sin(x), x*e^(-x/2), and the natural log of x. You’ll also learn how to use integration by parts on definite integrals and reduction formulas to reduce the power of x as well as powers of sine and cosine.
Integration by parts. Derivation of reduction formulas.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.