Calculating Surface Area Using Definite Integrals

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