Silly question

  • Thread starter eljose
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  • #1
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silly question....

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...
 

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  • #2
HallsofIvy
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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.
 
  • #3
Hurkyl
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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)
 

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