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Infinite integrals of exponential functions

by atomicpedals
Tags: exponential, functions, infinite, integrals
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atomicpedals
#1
Sep18-11, 01:46 PM
P: 196
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.
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