# 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]
References in periodicals archive ?
Or, if asked to determine whether the improper integral [[integral].
for t [greater than or equal to] T and the improper integral of the larger function converges for [absolute value of v] < k, then by the comparison test, the integral [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] converges for [absolute value of v] < k.
approaches a finite limit as A [right arrow] [infinity], then we call that limit the improper integral of first kind of f from a to[infinity]and write
In contrast with the usual convolution algorithm, the nonhistory-dependent algorithm described in the previous section needs the replacement of the improper integral by a finite sum.
Maher); (60) Didactical Knowledge Development of Pre-Service Secondary Mathematics Teachers (Pedro Gomez and Luis Rico); (61) Legitimization of the Graphic Register in Problem Solving at the Undergraduate Level: The Case of the Improper Integral (Alejandro S.
n](f) respectively to approximate an improper integral.
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