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What I did:
u = x+y
so
x = u-y
y = u-x
x [tex]\geq[/tex] 0
y [tex]\geq[/tex] 0
y [tex]\leq[/tex] 1-x
u-y [tex]\geq[/tex] 0 [tex]\rightarrow[/tex] u [tex]\geq[/tex] y
u-x [tex]\geq[/tex] 0 [tex]\rightarrow[/tex] u [tex]\geq[/tex] x
u <= 1
x [tex]\in[/tex] [0,1]
y [tex]\in[/tex] [0,1]
So
u [tex]\in[/tex] [0,1]
And I don't know what to do about the integral and the Jacobian, etc :(
what to you think about?
Ps: OMG, tex isn't working :(
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