improper integral

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

noun

, Mathematics.

1. Also called in·fi·nite in·te·gral [in, -f, uh, -nit , in, -ti-gr, uh, l]. 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

Word History and Origins

Origin of improper integral¹

First recorded in 1940–45