Chapter 31: Doing Area, Surface and Volume Integrals

Introduction

Most of your encounters with these integrals will not require you to evaluate them. However it is a good idea to develop some experience in doing so, to build your confidence in them. One of these is generally done by your performing a multiple integration, which means a sequence of ordinary integrations. To do so you must do three things: determine the integrand as a function of your variables of integration; determine the area or volume element of the integral in terms of same; and find appropriate limits of integration on the ordinary integrals obtained. Once this is done you then perform ordinary integrations. We discuss these steps here.