Please see the attached file for the fully formatted problem.
Calculate SSR 1/(x+y) dydx where R is the region bounded by x=0, y=0, x+y =1, x+y=4, by using the mapping T(u,v) = (u-u-uv, uv).
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The solution ...
The solution shows how to convert a double integral in x,y to a double integral in u,v.
This includes deriving the Jacobian and mapping the integration domain.