# improper integral

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## improper integral

*n.*

An integral having at least one nonfinite limit or an integrand that becomes infinite between the limits of integration.

## improper integral

*n*

(Mathematics) a definite integral having one or both limits infinite or having an integrand that becomes infinite within the limits of integration

## improp′er in′tegral

*n.*

**1.**a definite integral whose area of integration is infinite.

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

[1940–45]

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