In this lesson on improper integrals, we learn how to interpret and evaluate integrals over unbounded and bounded intervals. We define convergence and divergence for these types of integrals, and explore specific examples of each. We also discuss the fundamental theorem of calculus and notation in the context of improper integrals over unbounded intervals. With clear explanations and visual aids, this lesson provides a comprehensive understanding of improper integrals.
Integrals over unbounded intervals. Integrals over bounded intervals of functions that are unbounded near an endpoint. Comparison test for convergence/divergence.
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.