(adsbygoogle = window.adsbygoogle || []).push({}); Wacky change of variables for Multi integration!!!

Arghh im having diffiiculty with these problems.

I am having difficulty mastering the LaTeX form--- (things like how to make a double integral etc) so

if you look at this site

http://www.math.washington.edu/~m124/Stewart5Eprobs/5ET-15problems.pdf

and look at page 1040 in the text (ch 15.9) the problem in question is number 14...

I am having a really tough time rewriting the integrand in u,v form with the given transformation. Perhaps there was a mistake in my algebra--- but what would be the way to go about doing this?

and also for number 20... would the proper transformation be u = x+y and v = x^2 - y^2 ? Or would something else work better.

Again I apologize for posting a link--- I promise I will take the time to learn LaTeX before I post--- I just have a tough time with Change Of Variables overall.

Thanks for all your help.

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# Wacky change of variables for Multi integration

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