
Integration Functions of Several Variables

Double Integrals and Iterated Integrals
 Double integrals over rectangles are defined here. The
procedure ApproxInt2d for computing approximating
Riemann sums for integrals in 2D is here.

Computing Volumes: Examples
 Computation of volumes of solids defined by the space
in between a rectangle and a surface. An easy integral
where Mighty Maple fails is here...

Double Integrals over General Regions
 If the domain of integration is NOT a rectangle
a simple trick can be used to define the integral. Examples
of computations of double integrals over regions with
boundaries given in different forms.
 Properties of Double Integrals
 Double integrals inherit most of the properties of sums:
Linearity, monotonicity,... etc.

Transformation to Polar Coordinates
 Polar rectangles. The element of area in different coordinate
systems.
