Calculating the volume of a solid using a double integral

Abstract

Concepts and methods of differential calculus, along with the fundamental principles of integral calculus, are
extensively generalized to functions of multiple variables. Central to this generalization is the integral, understood as a
particular type of limit of sums. The resolution of numerous geometric and physical problems necessitates the application of
double integrals. This article addresses the topic of integration of functions of two variables, focusing specifically on the
computation of volumes of solids bounded by certain surfaces through the use of double integrals.