Evaluate the following integral by making an appropriate change of variable.

I don't know how to use the math tags, so I attached it.

I set u = x+y and v=y-2x. Then I note that the sides are x=0, y=0, and x=y. What next?

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- Apr 17th 2009, 08:28 PMveronicak5678Transformations
Evaluate the following integral by making an appropriate change of variable.

I don't know how to use the math tags, so I attached it.

I set u = x+y and v=y-2x. Then I note that the sides are x=0, y=0, and x=y. What next? - Apr 17th 2009, 09:27 PMCalculus26
Like you I don't know Latex so see the attachment

By the way you're region is bounded ny x = 0 , y= 0 and y = 1-x

Its all in the attachment - Apr 17th 2009, 10:52 PMveronicak5678
I got it. Thank you so much for your time! It was very clear and helpful.

- Apr 18th 2009, 10:33 AMCalculus26
In an e-mail I got you said you had difficulty finding x and y in terms of u and v but it seems you figured it out

In case you haven't there are 2 ways

1. Using matrices --see attachment

2.Brute force and ignorance

u =x+y

v = -2x+y

subtract the 2 eqns --this eliminates y solve for x

use the result in either eqn to find y - Apr 18th 2009, 10:47 AMveronicak5678
Yeah, I figured it out. I must have somehow sent the e-mail by mistake. Thanks again for your help.