Newton–Cotes formulas

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Newton–Cotes formulas

Quality:

Newton–Cotes formula - formulas for numerical integration. Article "Newton–Cotes formulas" in English Wikipedia has 23.3 points for quality (as of July 1, 2025). The article contains 5 references and 8 sections.

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

Since the creation of article "Newton–Cotes formulas", its content was written by 78 registered users of English Wikipedia and edited by 357 registered Wikipedia users in all languages.

The article is cited 163 times in English Wikipedia and cited 579 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #8918 in January 2014
  • Global: #22570 in January 2010

The highest popularity rank from 2008:

  • Local (English): #174260 in April 2015
  • Global: #133446 in November 2014

There are 19 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
1Chinese (zh)
牛頓-寇次公式
25.8782
2Hebrew (he)
נוסחאות ניוטון-קוטס
25.7024
3English (en)
Newton–Cotes formulas
23.326
4Russian (ru)
Формулы Ньютона — Котса
20.6314
5Spanish (es)
Fórmulas de Newton-Cotes
19.7429
6Ukrainian (uk)
Формули Ньютона – Котса
18.3823
7French (fr)
Formule de Newton-Cotes
18.3336
8German (de)
Newton-Cotes-Formeln
17.8108
9Czech (cs)
Newtonovy–Cotesovy vzorce
17.0576
10Catalan (ca)
Fórmules de Newton-Cotes
16.9939
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 "Newton–Cotes formulas" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Newton–Cotes formulas
776 630
2Spanish (es)
Fórmulas de Newton-Cotes
365 081
3German (de)
Newton-Cotes-Formeln
250 523
4Polish (pl)
Metody Newtona-Cotesa
126 953
5French (fr)
Formule de Newton-Cotes
91 811
6Japanese (ja)
ニュートン・コーツの公式
85 915
7Italian (it)
Formule di Newton-Cotes
81 806
8Chinese (zh)
牛頓-寇次公式
55 127
9Portuguese (pt)
Fórmulas de Newton-Cotes
31 457
10Dutch (nl)
Formule van Newton-Cotes
21 177
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 "Newton–Cotes formulas" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Newton–Cotes formulas
2 686
2Spanish (es)
Fórmulas de Newton-Cotes
520
3German (de)
Newton-Cotes-Formeln
418
4French (fr)
Formule de Newton-Cotes
366
5Russian (ru)
Формулы Ньютона — Котса
329
6Japanese (ja)
ニュートン・コーツの公式
287
7Chinese (zh)
牛頓-寇次公式
221
8Polish (pl)
Metody Newtona-Cotesa
199
9Italian (it)
Formule di Newton-Cotes
190
10Korean (ko)
뉴턴-코츠 공식
103
More...

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

The highest AI

Language versions of the article "Newton–Cotes formulas" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Newton–Cotes formulas
78
2German (de)
Newton-Cotes-Formeln
54
3French (fr)
Formule de Newton-Cotes
34
4Polish (pl)
Metody Newtona-Cotesa
24
5Spanish (es)
Fórmulas de Newton-Cotes
23
6Italian (it)
Formule di Newton-Cotes
23
7Dutch (nl)
Formule van Newton-Cotes
21
8Hungarian (hu)
Newton–Cotes-formula
17
9Japanese (ja)
ニュートン・コーツの公式
17
10Russian (ru)
Формулы Ньютона — Котса
15
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 "Newton–Cotes formulas" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
صيغ نيوتن-كوتس
0
2Catalan (ca)
Fórmules de Newton-Cotes
0
3Czech (cs)
Newtonovy–Cotesovy vzorce
0
4German (de)
Newton-Cotes-Formeln
0
5English (en)
Newton–Cotes formulas
0
6Spanish (es)
Fórmulas de Newton-Cotes
0
7French (fr)
Formule de Newton-Cotes
0
8Hebrew (he)
נוסחאות ניוטון-קוטס
0
9Hungarian (hu)
Newton–Cotes-formula
0
10Italian (it)
Formule di Newton-Cotes
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 "Newton–Cotes formulas" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Newton–Cotes formulas
163
2Chinese (zh)
牛頓-寇次公式
141
3French (fr)
Formule de Newton-Cotes
59
4Arabic (ar)
صيغ نيوتن-كوتس
56
5Catalan (ca)
Fórmules de Newton-Cotes
55
6Spanish (es)
Fórmulas de Newton-Cotes
15
7German (de)
Newton-Cotes-Formeln
14
8Polish (pl)
Metody Newtona-Cotesa
13
9Dutch (nl)
Formule van Newton-Cotes
10
10Serbian (sr)
Њутн-Коутс формуле
8
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
arArabic
صيغ نيوتن-كوتس
caCatalan
Fórmules de Newton-Cotes
csCzech
Newtonovy–Cotesovy vzorce
deGerman
Newton-Cotes-Formeln
enEnglish
Newton–Cotes formulas
esSpanish
Fórmulas de Newton-Cotes
frFrench
Formule de Newton-Cotes
heHebrew
נוסחאות ניוטון-קוטס
huHungarian
Newton–Cotes-formula
itItalian
Formule di Newton-Cotes
jaJapanese
ニュートン・コーツの公式
koKorean
뉴턴-코츠 공식
nlDutch
Formule van Newton-Cotes
plPolish
Metody Newtona-Cotesa
ptPortuguese
Fórmulas de Newton-Cotes
ruRussian
Формулы Ньютона — Котса
srSerbian
Њутн-Коутс формуле
ukUkrainian
Формули Ньютона – Котса
zhChinese
牛頓-寇次公式

Popularity rank trends

Best Rank English:
#174260
04.2015
Global:
#133446
11.2014

AI rank trends

Best Rank English:
#8918
01.2014
Global:
#22570
01.2010

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Newton–Cotes formula from Wikipedia articles about Simpsons rule, Numerical integration, Isaac Newton, Trapezoidal rule and Roger Cotes. Whereas reading the article about Newton–Cotes formula people most often go to Wikipedia articles on Simpsons rule, Numerical integration, Trapezoidal rule, Gaussian quadrature and Booles rule.

Cumulative results of quality and popularity of the Wikipedia article

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

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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