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Math Help - Jacobian Substitution Help

  1. #1
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    Jacobian Substitution Help

    Evaluate the Integral
    ∫(x-y)sin(x+y)dxdy

    over the tilted square region with corners at (0,0)(π/2, π/2)(π,0)(π/2,-π/2) by doing a change of variables u=x+y and v=x-y

    I"m having problems calculating the bounds. I think that I need to rewrite the bounds y=x, y=-x, y=-x+π, y=x-π in terms of u and v but I'm having trouble with how to do it. The rest of the problem makes sense to me, just the bounds are giving me some confusion.
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  2. #2
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    Re: Jacobian Substitution Help

    If y=x then x-y=0 and so v=0.
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