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## Homework Statement

I need to compute the following using the Jacobian:

[itex]\int\int_D \frac{x-y}{x+y} dxdy[/itex]

Where [itex] D = \left\{(x,y):x\geq 0, y\geq 0, x+y \leq 1\right\}[/itex]

## Homework Equations

## The Attempt at a Solution

I've made the transformation:

[itex] s=x+y \qquad t = x-y [/itex]

My problem is finding the new domain of integration. I can see that [itex]0\leq s \leq 1[/itex].

Yet for t, my book says it should be [itex]-s\leq t \leq s[/itex], but I cannot see why this should be.

Any help is much appreciated.