Change of Variables in Double Integrals      

In this section, we develop techniques for evaluating double integrals by changing the region--and the variables--of integration.  This technique is known as a change of variables  in double integrals.  First, however, let's load some packages.

>	restart:with(VectorCalculus):with(plots):with(plottools):

>

NOTE: In this worksheet the symbol   will be used for the partial derivative symbol.

Area of a Transformed Region

Volumes via Transformed Integrals

Change of Variables for Double Integrals

Exercises