Explore BrainMass

Double Integrals and Integral of a Disk

Suppose that the double integral of f(x, y) dA = 4, where D is the disk x^2 + y^2 <= 1. Now suppose E is the disk x^2 + y^2 <= 9 and 9(x,y) = 3f(x/3, y/3). What is the value of the double integral of g(x, y) dA?

Please see the attached file for the fully formatted problems.

keywords: integration, integrates, integrals, integrating, double, triple, multiple


Solution Preview

use the following substitution x=3u, y=3v

Then you see that f(x/3,y/3) - ...

Solution Summary

This solution investigates a disk integral, presented in an attached Word file and PDF copy.