Also called infinite integral. a definite integral in which one or both of the limits of integration is infinite.
a definite integral in which the integrand becomes infinite at a point or points in the interval of integration.
Origin of improper integral
First recorded in 1940–45
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for improper integral
a definite integral having one or both limits infinite or having an integrand that becomes infinite within the limits of integration
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012