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 ?
To see that the second integral in (3) converges, we use the comparison test for improper integrals.
Loney, Bernoulli and Euler, he developed various theorems and mathematical analysis including infinite series, improper integrals and number theory among others.
Guseinov, Improper integrals on time scales, Dynam.
Let us assume that the improper integrals converge correctly and that we can keep a finite number of terms in the approximation of the integral: