Integration by parts

Quality:

Integration by parts - theorem that relates the integral of a product of functions to the integral of their derivative and antiderivative. Article “Integration by parts” in English Wikipedia has 40.3 points for quality (as of July 1, 2025). The article contains 7 references and 21 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 2025 the article “Integration by parts” was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Integration by parts”, its content was written by 272 registered users of English Wikipedia and edited by 853 registered Wikipedia users in all languages.

The article is cited 340 times in English Wikipedia and cited 1879 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #293 in January 2003
• Global: #717 in January 2003

The highest popularity rank from 2008:

• Local (English): #4013 in January 2015
• Global: #5990 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, 2025 (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) Integration by parts		40.3239
2	Korean (ko) 부분 적분		36.5523
3	Finnish (fi) Osittaisintegrointi		36.3891
4	German (de) Partielle Integration		34.7643
5	Vietnamese (vi) Tích phân từng phần		25.8288
6	Croatian (hr) Metoda parcijalne integracije		25.488
7	Danish (da) Delvis integration		23.8497
8	Japanese (ja) 部分積分		23.1963
9	Czech (cs) Integrace per partes		22.4883
10	Catalan (ca) Integració per parts		20.986

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

#	Language	Popularity award	Relative popularity
1	English (en) Integration by parts		10 050 975
2	German (de) Partielle Integration		2 964 007
3	French (fr) Intégration par parties		1 675 990
4	Chinese (zh) 分部積分法		925 896
5	Russian (ru) Интегрирование по частям		797 838
6	Italian (it) Integrazione per parti		685 239
7	Japanese (ja) 部分積分		461 121
8	Hebrew (he) אינטגרציה בחלקים		418 430
9	Polish (pl) Całkowanie przez części		375 238
10	Dutch (nl) Partiële integratie		324 596

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

#	Language	Popularity award	Relative popularity
1	English (en) Integration by parts		15 033
2	German (de) Partielle Integration		5 324
3	French (fr) Intégration par parties		4 113
4	Chinese (zh) 分部積分法		2 537
5	Russian (ru) Интегрирование по частям		1 819
6	Hebrew (he) אינטגרציה בחלקים		1 052
7	Italian (it) Integrazione per parti		839
8	Japanese (ja) 部分積分		815
9	Czech (cs) Integrace per partes		517
10	Dutch (nl) Partiële integratie		487

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

#	Language	AI award	Relative AI
1	English (en) Integration by parts		272
2	German (de) Partielle Integration		90
3	French (fr) Intégration par parties		66
4	Italian (it) Integrazione per parti		48
5	Russian (ru) Интегрирование по частям		40
6	Hebrew (he) אינטגרציה בחלקים		38
7	Dutch (nl) Partiële integratie		36
8	Chinese (zh) 分部積分法		24
9	Arabic (ar) تكامل بالتجزئة		22
10	Polish (pl) Całkowanie przez części		22

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

#	Language	AI award	Relative AI
1	Arabic (ar) تكامل بالتجزئة		1
2	English (en) Integration by parts		1
3	Swedish (sv) Partialintegration		1
4	Bulgarian (bg) Интегриране по части		0
5	Catalan (ca) Integració per parts		0
6	Czech (cs) Integrace per partes		0
7	Danish (da) Delvis integration		0
8	German (de) Partielle Integration		0
9	Persian (fa) انتگرال‌گیری جزء به جزء		0
10	Finnish (fi) Osittaisintegrointi		0

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

On 13 October 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Diane Keaton, Ed Gein, 2026 FIFA World Cup qualification, 2026 FIFA World Cup, 2026 FIFA World Cup qualification (UEFA), Ian Watkins, 2026 FIFA World Cup qualification (CAF), Ilse Koch, Donald Trump, ChatGPT.

In English Wikipedia the most popular articles on that day were: Ed Gein, Diane Keaton, Ian Watkins (Lostprophets singer), Google Chrome, Kantara: Chapter 1, Columbus Day, Justin Trudeau, 2026 FIFA World Cup qualification, Dennis Rader, Deaths in 2025.

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