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- Improper_integral abstract "In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits. Such an integral is often written symbolically just like a standard definite integral, perhaps with infinity as a limit of integration. But that conceals the limiting process. By using the more advanced Lebesgue integral, rather than the Riemann integral, one can in some cases get an answer without taking a limit of standard definite integrals.Specifically, an improper integral is a limit of the formor of the formin which one takes a limit in one or the other (or sometimes both) endpoints (Apostol 1967, §10.23). Integrals are also improper if the integrand is undefined at an interior point of the domain of integration, or at multiple such points.It is often necessary to use improper integrals in order to compute a value for integrals which may not exist in the conventional sense (as a Riemann integral, for instance) because of a singularity in the function, or an infinite endpoint of the domain of integration.".
- Improper_integral thumbnail Improperintegral2.png?width=300.
- Improper_integral wikiPageExternalLink improper_integration.html.
- Improper_integral wikiPageExternalLink textbook_index.html.
- Improper_integral wikiPageExternalLink ch06.html.
- Improper_integral wikiPageID "346030".
- Improper_integral wikiPageRevisionID "593902268".
- Improper_integral hasPhotoCollection Improper_integral.
- Improper_integral subject Category:Calculus.
- Improper_integral comment "In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits. Such an integral is often written symbolically just like a standard definite integral, perhaps with infinity as a limit of integration. But that conceals the limiting process.".
- Improper_integral label "Całka niewłaściwa".
- Improper_integral label "Improper integral".
- Improper_integral label "Integral impropia".
- Improper_integral label "Integral imprópria".
- Improper_integral label "Integrale improprio".
- Improper_integral label "Intégrale impropre".
- Improper_integral label "Oneigenlijke integraal".
- Improper_integral label "Uneigentliches Integral".
- Improper_integral label "Несобственный интеграл".
- Improper_integral label "تكامل معتل".
- Improper_integral label "反常積分".
- Improper_integral label "広義積分".
- Improper_integral sameAs Uneigentliches_Integral.
- Improper_integral sameAs Integral_impropia.
- Improper_integral sameAs Intégrale_impropre.
- Improper_integral sameAs Integral_takwajar.
- Improper_integral sameAs Integrale_improprio.
- Improper_integral sameAs 広義積分.
- Improper_integral sameAs 이상적분.
- Improper_integral sameAs Oneigenlijke_integraal.
- Improper_integral sameAs Całka_niewłaściwa.
- Improper_integral sameAs Integral_imprópria.
- Improper_integral sameAs m.01yqs1.
- Improper_integral sameAs Q464118.
- Improper_integral sameAs Q464118.
- Improper_integral wasDerivedFrom Improper_integral?oldid=593902268.
- Improper_integral depiction Improperintegral2.png.
- Improper_integral isPrimaryTopicOf Improper_integral.