improper integral

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.
Origin
1940-45
British Dictionary definitions for improper integral

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