This exact transformation is discussed on pp 3-5 of
http://math.etsu.edu/multicalc/prealpha/Chap4/Chap4-4/printversion.pdf
Evaluate double integral ln((x-y)/(x+y)) dy dx where the double integral region is the triangle with vertices (1,0),(4,3), (4,1). Hint: use a transformation with the Jacobian.
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