Формула Лейбница (производной интеграла с параметром)

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Формула Лейбница (производной интеграла с параметром)

Quality:

Leibniz integral rule - differentiation under the integral sign formula. Article “Формула Лейбница (производной интеграла с параметром)” in Russian Wikipedia has 2.4 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections.

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

Since the creation of article “Формула Лейбница (производной интеграла с параметром)”, its content was written by 23 registered users of Russian Wikipedia and edited by 301 registered Wikipedia users in all languages.

The article is cited 11 times in Russian Wikipedia and cited 586 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #14693 in January 2008
  • Global: #54428 in October 2004

The highest popularity rank from 2008:

  • Local (Russian): #25841 in January 2009
  • Global: #12128 in December 2014

There are 16 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
1English (en)
Leibniz integral rule
44.0551
2Catalan (ca)
Fórmula de Leibniz
23.1333
3Kazakh (kk)
Лейбниц формуласы
21.2884
4Chinese (zh)
积分符号内取微分
20.1541
5Vietnamese (vi)
Quy tắc tích phân Leibniz
15.3047
6Arabic (ar)
قاعدة لايبنتز للتكامل
12.0507
7German (de)
Leibnizregel für Parameterintegrale
11.92
8Polish (pl)
Twierdzenie Leibniza (o różniczkowaniu pod znakiem całki)
11.1046
9Hebrew (he)
כלל לייבניץ לגזירה תחת סימן האינטגרל
9.7837
10Swedish (sv)
Derivering av integraler
6.0849
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 "Формула Лейбница (производной интеграла с параметром)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Leibniz integral rule
4 338 351
2Russian (ru)
Формула Лейбница (производной интеграла с параметром)
170 518
3Chinese (zh)
积分符号内取微分
145 777
4Polish (pl)
Twierdzenie Leibniza (o różniczkowaniu pod znakiem całki)
60 135
5Portuguese (pt)
Fórmula de Leibniz
45 771
6Hebrew (he)
כלל לייבניץ לגזירה תחת סימן האינטגרל
19 142
7German (de)
Leibnizregel für Parameterintegrale
18 311
8Vietnamese (vi)
Quy tắc tích phân Leibniz
15 311
9Swedish (sv)
Derivering av integraler
10 338
10Japanese (ja)
ライプニッツの積分法則
7 538
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 "Формула Лейбница (производной интеграла с параметром)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Leibniz integral rule
16 280
2Russian (ru)
Формула Лейбница (производной интеграла с параметром)
1 056
3German (de)
Leibnizregel für Parameterintegrale
762
4Chinese (zh)
积分符号内取微分
727
5Polish (pl)
Twierdzenie Leibniza (o różniczkowaniu pod znakiem całki)
320
6Hebrew (he)
כלל לייבניץ לגזירה תחת סימן האינטגרל
265
7Japanese (ja)
ライプニッツの積分法則
256
8Portuguese (pt)
Fórmula de Leibniz
252
9Vietnamese (vi)
Quy tắc tích phân Leibniz
46
10Arabic (ar)
قاعدة لايبنتز للتكامل
38
More...

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

The highest AI

Language versions of the article "Формула Лейбница (производной интеграла с параметром)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Leibniz integral rule
183
2Chinese (zh)
积分符号内取微分
26
3Russian (ru)
Формула Лейбница (производной интеграла с параметром)
23
4Polish (pl)
Twierdzenie Leibniza (o różniczkowaniu pod znakiem całki)
11
5Hebrew (he)
כלל לייבניץ לגזירה תחת סימן האינטגרל
10
6Portuguese (pt)
Fórmula de Leibniz
7
7Japanese (ja)
ライプニッツの積分法則
6
8Vietnamese (vi)
Quy tắc tích phân Leibniz
6
9German (de)
Leibnizregel für Parameterintegrale
5
10Swedish (sv)
Derivering av integraler
5
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 "Формула Лейбница (производной интеграла с параметром)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Leibniz integral rule
4
2Swedish (sv)
Derivering av integraler
1
3Arabic (ar)
قاعدة لايبنتز للتكامل
0
4Catalan (ca)
Fórmula de Leibniz
0
5German (de)
Leibnizregel für Parameterintegrale
0
6Esperanto (eo)
Leibniz-a integrala regulo
0
7Hebrew (he)
כלל לייבניץ לגזירה תחת סימן האינטגרל
0
8Hindi (hi)
लाइब्नित्स का समाकल सूत्र
0
9Japanese (ja)
ライプニッツの積分法則
0
10Kazakh (kk)
Лейбниц формуласы
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 "Формула Лейбница (производной интеграла с параметром)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Leibniz integral rule
248
2Arabic (ar)
قاعدة لايبنتز للتكامل
152
3Chinese (zh)
积分符号内取微分
98
4Vietnamese (vi)
Quy tắc tích phân Leibniz
38
5Russian (ru)
Формула Лейбница (производной интеграла с параметром)
11
6Ukrainian (uk)
Інтегральне правило Лейбніца
11
7Hebrew (he)
כלל לייבניץ לגזירה תחת סימן האינטגרל
7
8Polish (pl)
Twierdzenie Leibniza (o różniczkowaniu pod znakiem całki)
6
9German (de)
Leibnizregel für Parameterintegrale
5
10Esperanto (eo)
Leibniz-a integrala regulo
3
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
قاعدة لايبنتز للتكامل
caCatalan
Fórmula de Leibniz
deGerman
Leibnizregel für Parameterintegrale
enEnglish
Leibniz integral rule
eoEsperanto
Leibniz-a integrala regulo
heHebrew
כלל לייבניץ לגזירה תחת סימן האינטגרל
hiHindi
लाइब्नित्स का समाकल सूत्र
jaJapanese
ライプニッツの積分法則
kkKazakh
Лейбниц формуласы
plPolish
Twierdzenie Leibniza (o różniczkowaniu pod znakiem całki)
ptPortuguese
Fórmula de Leibniz
ruRussian
Формула Лейбница (производной интеграла с параметром)
svSwedish
Derivering av integraler
ukUkrainian
Інтегральне правило Лейбніца
viVietnamese
Quy tắc tích phân Leibniz
zhChinese
积分符号内取微分

Popularity rank trends

Best Rank Russian:
#25841
01.2009
Global:
#12128
12.2014

AI rank trends

Best Rank Russian:
#14693
01.2008
Global:
#54428
10.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Leibniz integral rule from Wikipedia articles about Leibnizs rule, Reynolds transport theorem, Fundamental theorem of calculus, Cauchy formula for repeated integration and List of The Big Bang Theory characters. Whereas reading the article about Leibniz integral rule people most often go to Wikipedia articles on Gottfried Wilhelm Leibniz, Fubinis theorem, Cauchy formula for repeated integration, Fundamental theorem of calculus and Reynolds transport theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 7 October 2025

On 7 October 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ed Gein, Ilse Koch, Lizzie Borden, Anthony Perkins, Monster: The Ed Gein Story, Greta Thunberg, Richard Speck, Psycho, ChatGPT, Charlie Hunnam.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Путин, Владимир Владимирович, Гин, Эд, Томагавк (ракета), IMGSRC.RU, Арестович, Алексей Николаевич, Кабаева, Алина Маратовна, 7 октября, Список умерших в 2025 году, Молчанов, Владимир Кириллович.

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