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 ?
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.
Loney, Bernoulli and Euler, he developed various theorems and mathematical analysis including infinite series, improper integrals and number theory among others.