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  1. Aug 23, 2008 #1
    I try to find the solution of the integrals below for more than a week.
    [tex]\int_{p>0}^{\infty}\frac{\exp[-ap]}{p}dp [/tex]
    can anyone give me a hint about how to solve it?
  2. jcsd
  3. Aug 23, 2008 #2


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    [tex]e^{-a p}[/tex] is continuous on ]0, 1] and therefore bounded (it lies between m and M). So you can estimate it to this constant and then on ]0, 1] the integral diverges logarithmically ([itex]\displaystyle\propto \int_0^1 dp/p[/itex]). Furthermore, the integrand is positive on ]1, infinity[ so the end result also diverges.

    That is definitely true...
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