การหาปริพันธ์โดยใช้สูตรลดทอน

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การหาปริพันธ์โดยใช้สูตรลดทอน

Quality:

Integration by reduction formulae - integration technique using recurrence relations. Article "การหาปริพันธ์โดยใช้สูตรลดทอน" in Thai Wikipedia has 17.5 points for quality (as of July 1, 2025). The article contains 4 references and 8 sections.

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

Since the creation of article "การหาปริพันธ์โดยใช้สูตรลดทอน", its content was written by 1 registered users of Thai Wikipedia and edited by 62 registered Wikipedia users in all languages.

The article is cited 24 times in Thai Wikipedia and cited 440 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Thai): #21575 in January 2025
  • Global: #185850 in July 2011

The highest popularity rank from 2008:

  • Local (Thai): #115839 in January 2025
  • Global: #206826 in November 2016

There are 8 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)
Integration by reduction formulae
23.7791
2Thai (th)
การหาปริพันธ์โดยใช้สูตรลดทอน
17.5323
3Korean (ko)
적분의 점화식
15.9701
4Spanish (es)
Integración por fórmulas de reducción
12.4333
5Japanese (ja)
漸化式による積分
11.4782
6Chinese (zh)
降次积分法
7.8703
7Hungarian (hu)
Redukciós formulák
7.7674
8Catalan (ca)
Integració per reducció
7.6358
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 "การหาปริพันธ์โดยใช้สูตรลดทอน" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Integration by reduction formulae
803 509
2Chinese (zh)
降次积分法
68 069
3Korean (ko)
적분의 점화식
9 863
4Spanish (es)
Integración por fórmulas de reducción
8 655
5Hungarian (hu)
Redukciós formulák
2 166
6Catalan (ca)
Integració per reducció
1 651
7Japanese (ja)
漸化式による積分
1 467
8Thai (th)
การหาปริพันธ์โดยใช้สูตรลดทอน
55
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 "การหาปริพันธ์โดยใช้สูตรลดทอน" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Integration by reduction formulae
1 249
2Japanese (ja)
漸化式による積分
178
3Chinese (zh)
降次积分法
161
4Spanish (es)
Integración por fórmulas de reducción
100
5Korean (ko)
적분의 점화식
91
6Thai (th)
การหาปริพันธ์โดยใช้สูตรลดทอน
7
7Hungarian (hu)
Redukciós formulák
5
8Catalan (ca)
Integració per reducció
4
More...

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

The highest AI

Language versions of the article "การหาปริพันธ์โดยใช้สูตรลดทอน" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Integration by reduction formulae
41
2Hungarian (hu)
Redukciós formulák
6
3Japanese (ja)
漸化式による積分
5
4Catalan (ca)
Integració per reducció
3
5Chinese (zh)
降次积分法
3
6Spanish (es)
Integración por fórmulas de reducción
2
7Korean (ko)
적분의 점화식
1
8Thai (th)
การหาปริพันธ์โดยใช้สูตรลดทอน
1
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 "การหาปริพันธ์โดยใช้สูตรลดทอน" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Japanese (ja)
漸化式による積分
2
2Catalan (ca)
Integració per reducció
0
3English (en)
Integration by reduction formulae
0
4Spanish (es)
Integración por fórmulas de reducción
0
5Hungarian (hu)
Redukciós formulák
0
6Korean (ko)
적분의 점화식
0
7Thai (th)
การหาปริพันธ์โดยใช้สูตรลดทอน
0
8Chinese (zh)
降次积分法
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 "การหาปริพันธ์โดยใช้สูตรลดทอน" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Integration by reduction formulae
154
2Chinese (zh)
降次积分法
94
3Korean (ko)
적분의 점화식
82
4Japanese (ja)
漸化式による積分
80
5Thai (th)
การหาปริพันธ์โดยใช้สูตรลดทอน
24
6Hungarian (hu)
Redukciós formulák
4
7Catalan (ca)
Integració per reducció
2
8Spanish (es)
Integración por fórmulas de reducción
0
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Integració per reducció
enEnglish
Integration by reduction formulae
esSpanish
Integración por fórmulas de reducción
huHungarian
Redukciós formulák
jaJapanese
漸化式による積分
koKorean
적분의 점화식
thThai
การหาปริพันธ์โดยใช้สูตรลดทอน
zhChinese
降次积分法

Popularity rank trends

Best Rank Thai:
#115839
01.2025
Global:
#206826
11.2016

AI rank trends

Best Rank Thai:
#21575
01.2025
Global:
#185850
07.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Integration by reduction formulae from Wikipedia articles about Elliptic integral, Reduction formula, Recurrence relation, Integral and Euler substitution. Whereas reading the article about Integration by reduction formulae people most often go to Wikipedia articles on Transcendental function, Recurrence relation, Leibniz integral rule, Lists of integrals and Trigonometric substitution.

Cumulative results of quality and popularity of the Wikipedia article

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

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