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Change of variable...

 
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Jul19-05, 11:35 AM   #1
 

Change of variable...


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?
 
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Jul19-05, 12:00 PM   #2
 
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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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