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