Илғор иқтисодиёт ва педагогик технологиялар 2-том 3-нөмір (2025) · 61-66-беттер

PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL

Kayumova, Mehribonu, Abdukarimov, Камариддин Kamariddin, Bakhtiyarov, Maksudjon, Каюмова, Мехрибону, Абдукаримов, Камариддин, Бахтияров, Максуджон, Kayumova, Mеxribonu, Abdukarimov, Qamariddin, Baxtiyorov, Maxsudjon

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Аңдатпа

This paper provides an in-depth analysis of the practical applications of the definite integral. It begins by explaining the application of the definite integral to calculating the surface area of geometric figures in a plane. Examples of economic problems are also given, including output, labor productivity, and income inequality through the Gini coefficient. Based on the supply and demand functions, consumer and producer surpluses are expressed using the definite integral. Each topic is illustrated with mathematical formulas, graphs, and real-life examples, demonstrating the importance of integral calculus not only in theory but also in economic and social practice. This work is a useful resource for students of definite integrals, as well as for those who wish to apply mathematical methods to economic problems.

definite integralGini coefficientdemand functionsupply functionLorenz curvemarket equilibriumeconomic modelmathematical analysisОпределенный интегралкоэффициент Джини

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Дәйексөз алу

APA 7 
Kayumova, Mehribonu, Abdukarimov, Камариддин Kamariddin, Bakhtiyarov, Maksudjon, Каюмова, Мехрибону, Абдукаримов, Камариддин, Бахтияров, Максуджон, Kayumova, Mеxribonu, Abdukarimov, Qamariddin & Baxtiyorov, Maxsudjon (2025). PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL. Илғор иқтисодиёт ва педагогик технологиялар, 2(3), 61-66.
GOST R 7.0.5 
Kayumova, Mehribonu, Abdukarimov, Камариддин Kamariddin, Bakhtiyarov, Maksudjon, Каюмова, Мехрибону, Абдукаримов, Камариддин, Бахтияров, Максуджон, Kayumova, Mеxribonu, Abdukarimov, Qamariddin, Baxtiyorov, Maxsudjon PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL // Илғор иқтисодиёт ва педагогик технологиялар. 2025. Т. 2. № 3. С. 61-66.
BibTeX 
@article{mehribonu2025,
  author  = {Kayumova, Mehribonu and Abdukarimov, Камариддин Kamariddin and Bakhtiyarov, Maksudjon and Каюмова, Мехрибону and Абдукаримов, Камариддин and Бахтияров, Максуджон and Kayumova, Mеxribonu and Abdukarimov, Qamariddin and Baxtiyorov, Maxsudjon},
  title   = {PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL},
  journal = {Илғор иқтисодиёт ва педагогик технологиялар},
  year    = {2025},
  volume  = {2},
  number  = {3},
  pages   = {61-66}
}
RIS 
TY  - JOUR
AU  - Kayumova, Mehribonu
AU  - Abdukarimov, Камариддин Kamariddin
AU  - Bakhtiyarov, Maksudjon
AU  - Каюмова, Мехрибону
AU  - Абдукаримов, Камариддин
AU  - Бахтияров, Максуджон
AU  - Kayumova, Mеxribonu
AU  - Abdukarimov, Qamariddin
AU  - Baxtiyorov, Maxsudjon
TI  - PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL
JO  - Илғор иқтисодиёт ва педагогик технологиялар
PY  - 2025
VL  - 2
IS  - 3
SP  - 61
EP  - 66
ER  -