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Help solving integrals when doing radial probability densities in the Bohr model

  1. Oct 12, 2014 #1
    1. The problem statement, all variables and given/known data

    Image: http://puu.sh/ca93V/7eb9abf342.png [Broken]

    2. Relevant equations

    Ok I know to use this guy http://puu.sh/ca95c/ad0155a4d6.png [Broken]

    Which then turns into this http://puu.sh/ca96W/68802e045c.png [Broken] (except from .5a to 4a, not 0 to a)


    3. The attempt at a solution

    I get lost on trying to integrate this thing. All these problems involving radial probability densities seem to have weird integrals. I've tried letting x = r/a but that also just gets weird.

    If I could get an explanation on this topic I'd really appreciate it.
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Oct 13, 2014 #2

    haruspex

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    Are you saying you just need help integrating ##r^4e^{-kr}.dr##? Please post your attempt, as per forum rules.
     
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