improper integral
noun Date: 1939 a definite integral whose region of integration is unbounded or includes a point at which the integrand is undefined or tends to infinity

New Collegiate Dictionary. 2001.

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  • Improper integral — In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits.Specifically, an… …   Wikipedia

  • improper integral — noun : a definite integral whose region of integration includes a point at which the integrand is undefined or tends to infinity or whose region of integration does not have all limits finite * * * Math. 1. Also called infinite integral. a… …   Useful english dictionary

  • improper integral — Math. 1. Also called infinite integral. a definite integral in which one or both of the limits 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… …   Universalium

  • improper integral — improp′er in′tegral n. 1) math. a definite integral whose area of integration is infinite 2) math. a definite integral in which the integrand becomes infinite at a point or points in the interval of integration • Etymology: 1940–45 …   From formal English to slang

  • improper integral — noun An integral where at least one of the endpoints is taken as a limit, either to a specific number or to infinity …   Wiktionary

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Improper — ;In mathematics *Improper rotation *Improper integral *Improper fraction *Improper prior *Improper distribution *Improper point *Improper limits;Other *Improper English *Improper motion *Improper nounee also* Proper …   Wikipedia

  • integral — integrality, n. integrally, adv. /in ti greuhl, in teg reuhl/, adj. 1. of, pertaining to, or belonging as a part of the whole; constituent or component: integral parts. 2. necessary to the completeness of the whole: This point is integral to his… …   Universalium

  • Multiple integral — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Henstock–Kurzweil integral — In mathematics, the Henstock–Kurzweil integral, also known as the Denjoy integral (pronounced [dɑ̃ˈʒwa]) and the Perron integral, is one of a number of definitions of the integral of a function. It is a generalization of the Riemann integral… …   Wikipedia

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