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

Илғор иқтисодиёт ва педагогик технологиялар · 2025-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarKayumova , Mehribonu, Abdukarimov , Камариддин Kamariddin, Bakhtiyarov , Maksudjon, Каюмова , Мехрибону, Абдукаримов , Камариддин, Бахтияров , Максуджон, Kayumova , Mеxribonu, Abdukarimov , Qamariddin, Baxtiyorov , Maxsudjon
JurnalИлғор иқтисодиёт ва педагогик технологиялар
NashriyotТошкент давлат иқтисодиёт университети ҳузуридаги «Ўзбекистон иқтисодиётини ривожлантиришнинг илмий асослари ва муаммолари» илмий-тадқиқот маркази
ISSN1994-2025
Nashr sanasi2025-05-23
Jild2
Son3
Betlar61-66
TilIngliz
Ilmiy sohaIqtisodiyot
DOI10.60078/3060-4842-2025-vol2-iss3-pp61-66
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

definite integral, Gini coefficient, demand function, supply function, Lorenz curve, market equilibrium, economic model, mathematical analysis, Определенный интеграл, коэффициент Джини, функция спроса, функция предложения, кривая Лоренца, рыночное равновесие, экономическая модель, математический анализ, aniq integral, Djini koeffitsiyenti, talab funksiyasi, taklif funksiyasi, Lorens egri chizig‘i, bozor muvozanati, iqtisodiy model, matematik tahlil

Ilmiy soha

Iqtibos keltirish

APAKayumova , 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. https://doi.org/10.60078/3060-4842-2025-vol2-iss3-pp61-66
GOST (OAK)Kayumova , Mehribonu va b. PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL // Илғор иқтисодиёт ва педагогик технологиялар. – 2025. – T. 2, № 3. – P. 61-66. – DOI: 10.60078/3060-4842-2025-vol2-iss3-pp61-66.
MLAKayumova , Mehribonu, Abdukarimov , Камариддин Kamariddin, Bakhtiyarov , Maksudjon, Каюмова , Мехрибону, Абдукаримов , Камариддин, Бахтияров , Максуджон, Kayumova , Mеxribonu, Abdukarimov , Qamariddin, and Baxtiyorov , Maxsudjon. “PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL.” Илғор иқтисодиёт ва педагогик технологиялар, 2(3), 61-66, 2025. https://doi.org/10.60078/3060-4842-2025-vol2-iss3-pp61-66
ChicagoKayumova , Mehribonu, Abdukarimov , Камариддин Kamariddin, Bakhtiyarov , Maksudjon, Каюмова , Мехрибону, Абдукаримов , Камариддин, Бахтияров , Максуджон, Kayumova , Mеxribonu, Abdukarimov , Qamariddin, and Baxtiyorov , Maxsudjon. “PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL.” Илғор иқтисодиёт ва педагогик технологиялар, 2(3), 61-66 (2025). https://doi.org/10.60078/3060-4842-2025-vol2-iss3-pp61-66
HarvardKayumova , Mehribonu, Abdukarimov , Камариддин Kamariddin, Bakhtiyarov , Maksudjon, Каюмова , Мехрибону, Абдукаримов , Камариддин, Бахтияров , Максуджон, Kayumova , Mеxribonu, Abdukarimov , Qamariddin, and Baxtiyorov , Maxsudjon (2025) ‘PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL’, Илғор иқтисодиёт ва педагогик технологиялар, 2(3), 61-66. https://doi.org/10.60078/3060-4842-2025-vol2-iss3-pp61-66
BibTeX
@article{kayumovamehribonu2025,
  title = {PRACTICAL APPLICATIONS OF THE DEFINITE INTEGRAL},
  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},
  journal = {Илғор иқтисодиёт ва педагогик технологиялар},
  year = {2025},
  volume = {2},
  number = {3},
  pages = {61-66},
  doi = {10.60078/3060-4842-2025-vol2-iss3-pp61-66},
  url = {https://doi.org/10.60078/3060-4842-2025-vol2-iss3-pp61-66}
}

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