silly question....

eljose

are the integrals:

[tex]\int_a^{b}dnf(t,n)[r(n+g(n] [/tex] and

[tex]\int_a^{b}dnf(t,n)r(n)+\int_a^{b}dkf(t,k)g(k) [/tex] the same?..i know that n and k are dummy variable so we can always make the change of variable k=n or n=k inside one of the two integral...

HallsofIvy

You seem to have lost a couple of right parentheses.
If you meant:
[tex]\int_a^{b}dnf(t,n)[r(n)+g(n)] [/tex]


Yes, they are exactly the same.

Hurkyl

A technicality:

[itex]\int f + g = \int f + \int g[/itex] provided the two integrals on the right hand side exist. (Knowing the left hand side exists is not enough)