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Change of variable

  1. Jul 19, 2005 #1
    let be the integral:

    f(x+{y}) where {y}=y iff y>0 and -y iff y<0, then we make the change of variable x+{y}=u x=v then what would be the value of Jacobian?
  2. jcsd
  3. Jul 19, 2005 #2

    matt grime

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    |y| isn't differentiable so one cannot do it directly. but one may split the region of integration into the regions where y is positive and negative and thence do the integral.
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