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improper integral

[im-prop-er in-ti-gruhl]

noun

Mathematics.
  1. Also called infinite integral.a definite integral in which one or both of the limits of integration is infinite.

  2. a definite integral in which the integrand becomes infinite at a point or points in the interval of integration.



improper integral

noun

  1. 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
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Word History and Origins

Origin of improper integral1

First recorded in 1940–45

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Improperiaimpropriate