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Double integral variable separation

  1. Jul 2, 2009 #1
    [tex]\int[/tex][tex]^{B}______________{A}[/tex][tex]\int[/tex][tex]^{\infty}_______________{0}[/tex][tex]\frac{t^{N-1}x^{s-N-1}dtdx}{e^{t+x}+1}[/tex]


    With the restrictions that that B>A, 0<Re(s)<1 and N is a natural number>1.

    I think t=ab and x=a(1-b) would work, but I'm not sure how to go from there. I don't need to solve the integral; just rewrite it in terms of two separate integrals, each of a single variable.

    Also, that dx should be on the right of the fraction bar; I cannot seem to locate the correct formatting to make this happen.

    Finally, what is the solution when A=0 and B=oo?
     
  2. jcsd
  3. Jul 3, 2009 #2
    You just have to put the dx after the 'frac', if I understood your latex question:
    [tex]
    \frac{t^{N-1}x^{s-N-1}dt}{e^{t+x}+1}dx
    [/tex]
     
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