Infinite integrals of exponential functions

  1. 1. The problem statement, all variables and given/known data

    [itex]\int[/itex]|e-k|x-a||2dx

    This integral is from -inf to +inf

    2. Relevant equations

    A table of integrals would seem to be needed.

    3. The attempt at a solution

    [itex]\int[/itex]|e-k|x-a||2dx

    =[itex]\int[/itex]|e-2k|x-a||dx

    from here it would seem to simplify down to a variation on the theme of [itex]\int[/itex]|e-ax|dx where a would be -2k and x would be |x-a| but I'm not sure. Two basic questions come to mind right away: a) am I on the right general track? and b) looking through a standard table of integrals there is plenty on the integral of eax but no mention of the integral of e-ax which leads me to think there's something deeper here that I'm failing to grasp.
     
    Last edited: Sep 18, 2011
  2. jcsd
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