CALCULATING SURFACE AREA USING DEFINITE INTEGRALS
Keywords:
Definite integral, Surface surface, Multivariable functions, Integration, Parametric surfacesAbstract
In this article, the theoretical foundations and practical methods of calculating the
surface area using the exact integral are thoroughly studied. Finding the surface area is one of the
important problems in the integration theory of multivariable functions and is widely used in
geometry, physics and engineering. The article analyzes in detail the process of deriving the surface
surface formula, calculation methods for surfaces given in the Cartesian coordinate system and in
parametric form. The effectiveness of this method is demonstrated through the obtained results and
examples, which will serve as a valuable resource for students and researchers. accuracy
References
[1] Mirzaev, M.A., Xudoyberdiev, A.A., Higher Mathematics. Textbook. Tashkent: Fan va
texnologiya, 2022. [2] Ashurov, R.R., Xudoyberdiev, A.A. Mathematical Analysis. Textbook. Tashkent: Fan va
texnologiya, 2021. [3] Tursunov, S.N., Xudoyberdiev, A.A. Fundamentals of Higher Mathematics. Textbook. Tashkent: Innovatsiya-Ziyo, 2023. [4] Qodirov, A.A., Xudoyberdiev, A.A. Some methods for calculating double integrals. Science and Education, 2022, 3(1): 123-127. –
https://openscience.uz/index.php/sciedu/article/view/2646
[5] Usmonov, M.M., Xudoyberdiev, A.A. Geometric applications of the definite integral. International Journal of Academic Pedagogical Research, 2023, 4(1): 10-14. –
https://www.ijapr.uz/index.php/ijapr/article/view/304
[6] Xudoyberdiev, A.A., Qodirov, A.A. Methodology for teaching integrals of multivariable
functions. Journal of Universal Scientific Research, 2023, 3(1): 1-5. –
https://www.jusr.uz/index.php/jusr/article/view/106
[7] Xudoyberdiev, A.A., Qodirov, A.A. Collection of examples and problems in
mathematical analysis. Study guide. Tashkent: Fan va texnologiya, 2022.
