improper integral

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

improper integral

(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

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].

An eclectic approach to the teaching of calculus

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.

A new integral transform

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

Function spaces and their dual spaces on time scales

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.

A fast algorithm for the simulation of GCHP systems

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.

Proceedings of the Annual Meeting of the International Group for the Psychology of Mathematics Education (PME) (28th, Bergen, Norway, July 14-18, 2004). Volume 2

n](f) respectively to approximate an improper integral.

Numerical integration on some special Henstock-Kurzweil integrals

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