September 24th, 2011, 05:00 PM  #1 
Newbie Joined: Nov 2009 Posts: 20 Thanks: 0  2d integral: change of variables
I have to integrate 1/(x+y) over the region bounded by x=0, y=0, x+y=1, x+y=4, by using the change of variables T(u,v) = (uuv, uv). So I found the Jacobian to be u and the limits of integration to be <0v<1 and 1<u<4. Since 1/(x+y) becomes 1/(uuv+uv) multiplied by u, a constant is being integrated over the limits, and the answer is (10)(41) = 3. Is this right?

September 26th, 2011, 08:50 AM  #2 
Newbie Joined: Nov 2009 Posts: 20 Thanks: 0  Re: 2d integral: change of variables
Nevermind, that's wrong. I figured it out.


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