Register to reply

Infinite integrals of exponential functions

by atomicpedals
Tags: exponential, functions, infinite, integrals
Share this thread:
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.
Phys.Org News Partner Science news on Phys.org
Bees able to spot which flowers offer best rewards before landing
Classic Lewis Carroll character inspires new ecological model
When cooperation counts: Researchers find sperm benefit from grouping together in mice

Register to reply

Related Discussions
Advanced Functions,Exponential Functions Precalculus Mathematics Homework 9
Advanced Functions,Exponential Functions Precalculus Mathematics Homework 4
Integrals of the exponential function Calculus & Beyond Homework 1
Infinite exponential Calculus 7
Help With Infinite Exponential Limit Calculus & Beyond Homework 6