In this calculus example problem, we integrate an indefinite integral for a rational function using the u substitution method. Factoring is required for this substitution to work on this problem and the antiderivative works out to be a natural log rule ln. Each part of the process of integration is explained and written step-by-step as we find the antiderivative of this integral.

This video contains examples that are from Business Calculus, 1st ed, by Calaway, Hoffman, Lippman. from the Open Course Library, remixed from Dale Hoffman's Contemporary Calculus text. It was extended by David Lippman to add several additional topics. The text is licensed under the Creative Commons Attribution license. http://creativecommons.org/licenses/by/3.0/us/