Change of variable

  • Thread starter eljose
  • Start date
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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?
 

matt grime

Science Advisor
Homework Helper
9,394
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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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