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Matematik analizda integral hisob va uning geometrik tatbiqlari

Authors

  • Choriyeva Sanam Tojiyevna

    Termiz davlat universiteti Algebra va geometriya kafedrasi dotsenti
    Author
  • Jumanazarova Gulmira Bahrom qizi

    Termiz davlat universiteti matemateka 1-kurs talabasi
    Author

Keywords:

Definite integral, curved trapezoid, basic body, surface, volume, limit of integration, mathematical model, Newton-Leibniz formula

Abstract

This article examines the concept of the definite integral and its practical importance in calculating surfaces and volumes. The article analyzes algorithms for calculating the surface area of a curved trapezoid, the role of the integral in determining the volume of solids of revolution. Also, the convenience of integral calculation in determining the parameters of complex geometric shapes is shown through examples. 

References

1. Azlarov T., Mansurov H.Matematik analiz, 1-qism. Toshkent,O'qituvchi, 1994.

2. Sadullaev A. va boshqalar.Matematik analizdan misol va masalalar to'plami. Toshkent, 2006.

3. Thomas, G. B.Thomas' Calculus, 14th Edition, Pearson, 2018.

4. Stewart, J.Calculus: Early Transcendentals, 8th Edition, 2015.

5. Gaziyev A. va boshqalar. ‖Matematik analizdan misol va masalalar to'plami, 2005.

6. Joseph Edwards –A Treatise on the Integral Calculus.

7. Fixtengols G.M. – Kurs differensialnogo i integralnogo ischisleniya (3 tomlik).

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Published

2026-05-09