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September 24th, 2011, 05:00 PM   #1
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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) = (u-uv, 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/(u-uv+uv) multiplied by u, a constant is being integrated over the limits, and the answer is (1-0)(4-1) = 3. Is this right?
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September 26th, 2011, 08:50 AM   #2
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Re: 2d integral: change of variables

Nevermind, that's wrong. I figured it out.
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