Integral test for convergence

en

WikiRank.net
ver. 1.6

Integral test for convergence

Quality:

Integral test for convergence - test for infinite series of monotonous terms for convergence. Article "Integral test for convergence" in English Wikipedia has 21.8 points for quality (as of July 1, 2025). The article contains 5 references and 7 sections.

This article has the best quality in Polish Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Integral test for convergence", its content was written by 55 registered users of English Wikipedia and edited by 245 registered Wikipedia users in all languages.

The article is cited 193 times in English Wikipedia and cited 721 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #25257 in February 2004
  • Global: #41505 in October 2008

The highest popularity rank from 2008:

  • Local (English): #106907 in April 2013
  • Global: #127858 in April 2013

There are 17 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, 2025 (including revision history and pageviews for previous years).

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

Languages with the highest quality

#LanguageQuality gradeQuality score
1Polish (pl)
Kryterium całkowe
25.5245
2English (en)
Integral test for convergence
21.8479
3Catalan (ca)
Criteri de la integral de Cauchy
15.8797
4Turkish (tr)
İntegral testi
12.5781
5Czech (cs)
Integrální kritérium konvergence
12.1296
6Korean (ko)
적분 판정법
11.0512
7Japanese (ja)
積分判定法
10.3918
8Dutch (nl)
Integraaltest
10.0647
9French (fr)
Comparaison série-intégrale
9.44
10Finnish (fi)
Integraalitesti
8.5327
More...

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

Most popular in all the time

The most popular language versions of the article "Integral test for convergence" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Integral test for convergence
827 424
2Russian (ru)
Интегральный признак Коши — Маклорена
264 483
3French (fr)
Comparaison série-intégrale
256 648
4German (de)
Integralkriterium
159 354
5Polish (pl)
Kryterium całkowe
78 918
6Portuguese (pt)
Teste da integral
61 188
7Korean (ko)
적분 판정법
60 581
8Chinese (zh)
积分判别法
56 135
9Turkish (tr)
İntegral testi
25 219
10Swedish (sv)
Cauchys integralkriterium
14 411
More...

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

Most popular in June 2025

The most popular language versions of the article "Integral test for convergence" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Integral test for convergence
1 664
2Russian (ru)
Интегральный признак Коши — Маклорена
925
3French (fr)
Comparaison série-intégrale
890
4Polish (pl)
Kryterium całkowe
372
5Korean (ko)
적분 판정법
369
6German (de)
Integralkriterium
323
7Chinese (zh)
积分判别法
269
8Czech (cs)
Integrální kritérium konvergence
114
9Portuguese (pt)
Teste da integral
111
10Ukrainian (uk)
Інтегральна ознака Маклорена — Коші
86
More...

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

The highest AI

Language versions of the article "Integral test for convergence" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Integral test for convergence
55
2German (de)
Integralkriterium
36
3French (fr)
Comparaison série-intégrale
35
4Russian (ru)
Интегральный признак Коши — Маклорена
30
5Polish (pl)
Kryterium całkowe
16
6Portuguese (pt)
Teste da integral
11
7Turkish (tr)
İntegral testi
10
8Finnish (fi)
Integraalitesti
8
9Chinese (zh)
积分判别法
8
10Swedish (sv)
Cauchys integralkriterium
7
More...

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

The highest AI in June 2025

Language versions of the article "Integral test for convergence" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Criteri de la integral de Cauchy
0
2Czech (cs)
Integrální kritérium konvergence
0
3German (de)
Integralkriterium
0
4English (en)
Integral test for convergence
0
5Finnish (fi)
Integraalitesti
0
6French (fr)
Comparaison série-intégrale
0
7Japanese (ja)
積分判定法
0
8Korean (ko)
적분 판정법
0
9Dutch (nl)
Integraaltest
0
10Polish (pl)
Kryterium całkowe
0
More...

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

The highest CI

Language versions of the article "Integral test for convergence" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Integral test for convergence
193
2Chinese (zh)
积分判别法
113
3Korean (ko)
적분 판정법
94
4Ukrainian (uk)
Інтегральна ознака Маклорена — Коші
94
5Japanese (ja)
積分判定法
75
6Portuguese (pt)
Teste da integral
47
7Russian (ru)
Интегральный признак Коши — Маклорена
39
8French (fr)
Comparaison série-intégrale
21
9German (de)
Integralkriterium
10
10Catalan (ca)
Criteri de la integral de Cauchy
7
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Criteri de la integral de Cauchy
csCzech
Integrální kritérium konvergence
deGerman
Integralkriterium
enEnglish
Integral test for convergence
fiFinnish
Integraalitesti
frFrench
Comparaison série-intégrale
jaJapanese
積分判定法
koKorean
적분 판정법
nlDutch
Integraaltest
plPolish
Kryterium całkowe
ptPortuguese
Teste da integral
roRomanian
Criteriul integral (Maclaurin-Cauchy)
ruRussian
Интегральный признак Коши — Маклорена
svSwedish
Cauchys integralkriterium
trTurkish
İntegral testi
ukUkrainian
Інтегральна ознака Маклорена — Коші
zhChinese
积分判别法

Popularity rank trends

Best Rank English:
#106907
04.2013
Global:
#127858
04.2013

AI rank trends

Best Rank English:
#25257
02.2004
Global:
#41505
10.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Integral test for convergence from Wikipedia articles about Harmonic series, Convergence test, Cauchys test, Basel problem and Root test. Whereas reading the article about Integral test for convergence people most often go to Wikipedia articles on Convergence test, Monotonic function, Comparison test, Improper integral and Colin MacLaurin.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information