CALCULUS Understanding Its Concepts and Methods

Improper integral

An improper integral is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration. Some such integrals can sometimes be computed by replacing infinite limits with finite values and then taking the limit as the value approaches infinity:

The integral is an example of an integrand that approaches infinity at a point in the range of integration. This integral can be calculated as a limit:

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.