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 points for quality (as of August 1, 2024). The article contains 7 references and 20 sections.

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

In July 2024 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 269 registered users of English Wikipedia and edited by 826 registered Wikipedia users in all languages.

The article is cited 331 times in English Wikipedia and cited 1805 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #292 in January 2003
• Global: #715 in January 2003

The highest popularity rank from 2008:

• Local (English): #4016 in January 2015
• Global: #6003 in January 2015

There are 30 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 August 1, 2024 (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		39.9735
2	Finnish (fi) Osittaisintegrointi		36.5264
3	Korean (ko) 부분 적분		36.3334
4	German (de) Partielle Integration		34.9553
5	Vietnamese (vi) Tích phân từng phần		25.8713
6	Croatian (hr) Metoda parcijalne integracije		25.5288
7	Danish (da) Delvis integration		23.8495
8	Japanese (ja) 部分積分		23.3311
9	Czech (cs) Integrace per partes		22.5145
10	Catalan (ca) Integració per parts		20.9233

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

#	Language	Popularity award	Relative popularity
1	English (en) Integration by parts		9 816 342
2	German (de) Partielle Integration		2 898 784
3	French (fr) Intégration par parties		1 631 040
4	Chinese (zh) 分部積分法		879 349
5	Russian (ru) Интегрирование по частям		778 005
6	Italian (it) Integrazione per parti		675 352
7	Japanese (ja) 部分積分		452 093
8	Hebrew (he) אינטגרציה בחלקים		401 812
9	Polish (pl) Całkowanie przez części		370 569
10	Dutch (nl) Partiële integratie		318 076

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		15 908
2	German (de) Partielle Integration		8 865
3	Chinese (zh) 分部積分法		3 715
4	Hebrew (he) אינטגרציה בחלקים		2 599
5	French (fr) Intégration par parties		1 970
6	Japanese (ja) 部分積分		1 038
7	Russian (ru) Интегрирование по частям		970
8	Italian (it) Integrazione per parti		744
9	Portuguese (pt) Integração por partes		529
10	Romanian (ro) Integrare prin părți		419

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		269
2	German (de) Partielle Integration		87
3	French (fr) Intégration par parties		61
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		21

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	Danish (da) Delvis integration		1
2	English (en) Integration by parts		1
3	Hindi (hi) खंडशः समाकलन		1
4	Arabic (ar) تكامل بالتجزئة		0
5	Bulgarian (bg) Интегриране по части		0
6	Catalan (ca) Integració per parts		0
7	Czech (cs) Integrace per partes		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 19 November 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Mike Tyson, Elon Musk, MGM-140 ATACMS, Gladiator II, International Men's Day, 2024–25 UEFA Nations League, Donald Trump, Jake Paul, Jon Jones, deaths in 2024.

In English Wikipedia the most popular articles on that day were: Mehmet Oz, Sean Duffy, Gladiator II, Mike Tyson, 2024 United States presidential election, Matt Gaetz, Deaths in 2024, Elon Musk, Wicked (2024 film), Dune: Prophecy.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information