Let,s suppose we have the integral:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_{-\infty}^{\infty}dxF(x) [/tex]

but unfortunately we have a problem..the function F(x) has several poles of integer order r (r=1,2,3,4......) so it diverges :uhh: :uhh: :uhh: then my question is if there is a form to redefine our integral so it can be assigned a finite value by "eliminating" somehow its poles considering them as residues so finally we have an integral:

[tex] \int_{-\infty}^{\infty}dxF(x)+ Res(F) [/tex] where the integral is

finite and Res(F) would be the sum of the residues of F(x) at its poles...or something similar..pehaps with the "Cauchy principal value integral"?....

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# Re-definition of integral:

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