Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Infinite integrals of exponential functions

  1. Sep 18, 2011 #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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted
Similar Discussions: Infinite integrals of exponential functions
Loading...