Improper integral

Improper integral - limit of a definite integral with as one or both limits approach infinity or values at which the integrand is undefined. Article “Improper integral” in English Wikipedia has 50.6 points for quality (as of July 1, 2026). The article contains 8 references and 14 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2026 the article “Improper integral” was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Improper integral”, its content was written by 94 registered users of English Wikipedia and edited by 631 registered Wikipedia users in all languages.

The article is cited 197 times in English Wikipedia and cited 1435 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #2510 in November 2003
• Global: #7246 in November 2003

The highest popularity rank from 2008:

• Local (English): #16726 in March 2015
• Global: #25156 in March 2015

There are 34 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2026 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Improper integral		50.5971
2	Greek (el) Καταχρηστικό ολοκλήρωμα		40.4957
3	Galician (gl) Integral impropia		33.3606
4	Chinese (zh) 反常積分		30.1879
5	Polish (pl) Całka niewłaściwa		27.0656
6	French (fr) Intégrale impropre		25.5615
7	Portuguese (pt) Integral imprópria		24.6369
8	Italian (it) Integrale improprio		23.9328
9	Indonesian (id) Integral takwajar		20.3522
10	Vietnamese (vi) Tích phân suy rộng		19.358

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Improper integral" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Improper integral		1 510 667
2	Spanish (es) Integral impropia		884 040
3	Russian (ru) Несобственный интеграл		651 435
4	French (fr) Intégrale impropre		406 286
5	German (de) Uneigentliches Integral		315 709
6	Italian (it) Integrale improprio		314 693
7	Polish (pl) Całka niewłaściwa		314 656
8	Chinese (zh) 反常積分		260 811
9	Hebrew (he) אינטגרל לא אמיתי		197 261
10	Japanese (ja) 広義積分		182 042

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Improper integral" in June 2026

#	Language	Popularity award	Relative popularity
1	English (en) Improper integral		2 260
2	Russian (ru) Несобственный интеграл		1 153
3	Chinese (zh) 反常積分		631
4	French (fr) Intégrale impropre		618
5	German (de) Uneigentliches Integral		474
6	Hebrew (he) אינטגרל לא אמיתי		383
7	Polish (pl) Całka niewłaściwa		362
8	Japanese (ja) 広義積分		323
9	Italian (it) Integrale improprio		289
10	Spanish (es) Integral impropia		285

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Improper integral" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Improper integral		94
2	French (fr) Intégrale impropre		57
3	Russian (ru) Несобственный интеграл		47
4	Italian (it) Integrale improprio		45
5	Spanish (es) Integral impropia		39
6	Dutch (nl) Oneigenlijke integraal		39
7	Polish (pl) Całka niewłaściwa		35
8	Hebrew (he) אינטגרל לא אמיתי		32
9	Chinese (zh) 反常積分		31
10	German (de) Uneigentliches Integral		27

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Improper integral" with the highest AI in June 2026

#	Language	AI award	Relative AI
1	German (de) Uneigentliches Integral		1
2	English (en) Improper integral		1
3	Basque (eu) Integral inpropio		1
4	Arabic (ar) تكامل معتل		0
5	Belarusian (be) Неўласцівы інтэграл		0
6	Catalan (ca) Integral impròpia		0
7	Czech (cs) Nevlastní integrál		0
8	Danish (da) Uegentligt integral		0
9	Greek (el) Καταχρηστικό ολοκλήρωμα		0
10	Spanish (es) Integral impropia		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Improper integral" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Improper integral		197
2	Italian (it) Integrale improprio		150
3	Chinese (zh) 反常積分		126
4	Korean (ko) 이상 적분		114
5	Ukrainian (uk) Невласний інтеграл		105
6	Japanese (ja) 広義積分		103
7	Catalan (ca) Integral impròpia		74
8	Hebrew (he) אינטגרל לא אמיתי		73
9	Portuguese (pt) Integral imprópria		63
10	Indonesian (id) Integral takwajar		60

More...

#	Language	Value
ar	Arabic تكامل معتل
be	Belarusian Неўласцівы інтэграл
ca	Catalan Integral impròpia
cs	Czech Nevlastní integrál
da	Danish Uegentligt integral
de	German Uneigentliches Integral
el	Greek Καταχρηστικό ολοκλήρωμα
en	English Improper integral
es	Spanish Integral impropia
et	Estonian Päratu integraal
eu	Basque Integral inpropio
fa	Persian انتگرال ناسره
fr	French Intégrale impropre
gl	Galician Integral impropia
he	Hebrew אינטגרל לא אמיתי
hi	Hindi अनन्त समाकल
hu	Hungarian Improprius integrál
id	Indonesian Integral takwajar
it	Italian Integrale improprio
ja	Japanese 広義積分
kk	Kazakh Өзіндік емес интеграл
ko	Korean 이상 적분
nl	Dutch Oneigenlijke integraal
pl	Polish Całka niewłaściwa
pt	Portuguese Integral imprópria
ro	Romanian Integrală improprie
ru	Russian Несобственный интеграл
sh	Serbo-Croatian Nepravi integral
sr	Serbian Несвојствени интеграл
sv	Swedish Generaliserad integral
tr	Turkish Has olmayan integral
uk	Ukrainian Невласний інтеграл
vi	Vietnamese Tích phân suy rộng
zh	Chinese 反常積分

Best Rank

English: #16726 03.2015

Global: #25156 03.2015

Best Rank

English: #2510 11.2003

Global: #7246 11.2003

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information