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Double integral with change of variables.

Find the integral of f(x,y)=x^2 over the domain D which is bounded by y=3x, x=3y and x+y=4
Hint: use the transformation x=3u+v and y=u+3v


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Hi there

Here are the solutions this problem.

I solved it both using the change in variables and by brute ...

Solution Summary

The solution shows how to change the integration variables and limits to simplify the integration. In addition the solution shows how to solve the integral directly and get to the same result.
The solution is 7 pages long including diagrams and full derivations.