change fo variable 2

eljose

let be the change of variable x+ln(a+y)=u and x=v then we have that:

x=v y=exp(u-v)-a where x and y have the limit (-oo,oo) (oo=infinite) then what would be the new limits?..i get for v=x=(-oo,oo) and for u=(oo,-a) is that correct?..thanks.