Partielle Integration

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Partielle Integration

Quality:

Integration by parts - theorem that relates the integral of a product of functions to the integral of their derivative and antiderivative. Article “Partielle Integration” in German Wikipedia has 34.5 points for quality (as of July 1, 2026). The article contains 7 references and 22 sections.

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

Achievements in all the time:
German Wikipedia:
The 6399th most popular in German Wikipedia.

Since the creation of article “Partielle Integration”, its content was written by 90 registered users of German Wikipedia and edited by 870 registered Wikipedia users in all languages.

The article is cited 60 times in German Wikipedia and cited 1947 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #3376 in January 2010
  • Global: #724 in January 2003

The highest popularity rank from 2008:

  • Local (German): #2597 in September 2014
  • Global: #6112 in January 2015

There are 31 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Integration by parts
40.225
2Finnish (fi)
Osittaisintegrointi
36.3701
3Korean (ko)
부분 적분
36.2861
4German (de)
Partielle Integration
34.4991
5Vietnamese (vi)
Tích phân từng phần
25.8225
6Croatian (hr)
Metoda parcijalne integracije
25.503
7Danish (da)
Delvis integration
23.8495
8Japanese (ja)
部分積分
23.028
9Czech (cs)
Integrace per partes
22.4327
10Catalan (ca)
Integració per parts
21.0052
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 "Partielle Integration" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Integration by parts
10 250 957
2German (de)
Partielle Integration
3 018 151
3French (fr)
Intégration par parties
1 706 072
4Chinese (zh)
分部積分法
951 022
5Russian (ru)
Интегрирование по частям
908 174
6Italian (it)
Integrazione per parti
691 914
7Japanese (ja)
部分積分
469 414
8Hebrew (he)
אינטגרציה בחלקים
428 548
9Polish (pl)
Całkowanie przez części
380 259
10Dutch (nl)
Partiële integratie
329 797
More...

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

Most popular in June 2026

The most popular language versions of the article "Partielle Integration" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Integration by parts
9 945
2German (de)
Partielle Integration
2 725
3French (fr)
Intégration par parties
2 235
4Chinese (zh)
分部積分法
1 181
5Russian (ru)
Интегрирование по частям
742
6Hebrew (he)
אינטגרציה בחלקים
722
7Japanese (ja)
部分積分
501
8Polish (pl)
Całkowanie przez części
455
9Italian (it)
Integrazione per parti
424
10Czech (cs)
Integrace per partes
403
More...

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

The highest AI

Language versions of the article "Partielle Integration" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Integration by parts
275
2German (de)
Partielle Integration
90
3French (fr)
Intégration par parties
70
4Italian (it)
Integrazione per parti
48
5Russian (ru)
Интегрирование по частям
40
6Hebrew (he)
אינטגרציה בחלקים
39
7Dutch (nl)
Partiële integratie
36
8Chinese (zh)
分部積分法
27
9Polish (pl)
Całkowanie przez części
23
10Arabic (ar)
تكامل بالتجزئة
22
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 2026

Language versions of the article "Partielle Integration" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Arabic (ar)
تكامل بالتجزئة
1
2English (en)
Integration by parts
1
3Korean (ko)
부분 적분
1
4Polish (pl)
Całkowanie przez części
1
5Thai (th)
การหาปริพันธ์โดยการแยกส่วน
1
6Bulgarian (bg)
Интегриране по части
0
7Catalan (ca)
Integració per parts
0
8Czech (cs)
Integrace per partes
0
9Danish (da)
Delvis integration
0
10German (de)
Partielle Integration
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 "Partielle Integration" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Integration by parts
351
2Arabic (ar)
تكامل بالتجزئة
165
3Persian (fa)
انتگرال‌گیری جزء به جزء
151
4Korean (ko)
부분 적분
143
5Japanese (ja)
部分積分
133
6Chinese (zh)
分部積分法
132
7Ukrainian (uk)
Інтегрування частинами
113
8Catalan (ca)
Integració per parts
84
9French (fr)
Intégration par parties
84
10Portuguese (pt)
Integração por partes
82
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2026:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2026:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
تكامل بالتجزئة
bgBulgarian
Интегриране по части
caCatalan
Integració per parts
csCzech
Integrace per partes
daDanish
Delvis integration
deGerman
Partielle Integration
enEnglish
Integration by parts
faPersian
انتگرال‌گیری جزء به جزء
fiFinnish
Osittaisintegrointi
frFrench
Intégration par parties
glGalician
Integración por partes
heHebrew
אינטגרציה בחלקים
hiHindi
खंडशः समाकलन
hrCroatian
Metoda parcijalne integracije
huHungarian
Parciális integrálás
idIndonesian
Integrasi parsial
itItalian
Integrazione per parti
jaJapanese
部分積分
koKorean
부분 적분
nlDutch
Partiële integratie
plPolish
Całkowanie przez części
ptPortuguese
Integração por partes
roRomanian
Integrare prin părți
ruRussian
Интегрирование по частям
shSerbo-Croatian
Parcijalna integracija
skSlovak
Metóda integrovania per partes
svSwedish
Partialintegration
thThai
การหาปริพันธ์โดยการแยกส่วน
ukUkrainian
Інтегрування частинами
viVietnamese
Tích phân từng phần
zhChinese
分部積分法

Popularity rank trends

Best Rank German:
#2597
09.2014
Global:
#6112
01.2015

AI rank trends

Best Rank German:
#3376
01.2010
Global:
#724
01.2003

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Integration by parts from Wikipedia articles about Integral, Integration by substitution, Gamma function, Brook Taylor and Antiderivative. Whereas reading the article about Integration by parts people most often go to Wikipedia articles on Integration by substitution, Product rule, Brook Taylor, Integral and Lebesgue–Stieltjes integration.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In German Wikipedia the most popular articles on that day were: Demokratische Republik Kongo, Fußball-Weltmeisterschaft 2026, Senegal, Julian Nagelsmann, Erling Haaland, Sadio Mané, Fußball-Weltmeisterschaft 1994, Jürgen Klopp, Fußball-Europameisterschaft 2028, Fußball-Weltmeisterschaft.

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 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