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Homework Statement
I am to use a substitution of variables u = x, v = x + 2y to evaluate the surface integralint(0,1/2)int(0,1-y) exp(x/(x+y))dxdy
where int(a,b) means integral sign with lower limit a and upper limit b.
Homework Equations
The Attempt at a Solution
I used the substitution and calculated the Jacobian to be 1/2. However, in the new variables, the integral is nowint(0,1/2)int(0,1+u-v)exp(u/v)dudv
Both variables appearing in one of the integrals doesn't seem right to me - what has gone wrong with the calculation?