In this lesson on change of variables or substitution, the concept of differentials is introduced in relation to derivatives. The properties of differentials, including linearity, product rule, quotient rule, and chain rule, are covered along with examples. The lesson then delves into indefinite and definite integrals using basic "u-substitutions" and how to compute them. The importance of transforming limits of integration in definite integrals is highlighted through examples.
Differentials. Using basic "u-substitutions" to find indefinite integrals and compute definite integrals.
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.