How Do You Compute the Convolution of e^-x and x Over an Infinite Range?

[MrBailey]

Hi, all.

Just a little confused over this one (okay...a lot confused):

convolution of f(x) and g(x) from -inf to inf where

f(x) = e^-x

and g(x) = x

I would really appreciate some pointers on this one.

thanks,
Bailey

(edit) forgot the range

 

[shmoe]

The definition of convolution can vary (like what you integrate over), what is yours?

 

[MrBailey]

my mind is slipping...sorry

the convolution of f(x) and g(x) from -inf to inf

 

[nocturnal]

It would help greatly if you could state the definition of convolution. This should be done by giving a mathematical equation for computing the convolution of two arbitrary functions f(x) and g(x).

As shmoe said it will identify which definition your familiar with, and also show us that you know what the definition is.

If your not familiar with LaTex, click on the equation below to see the code.

$$\int_{- \infty}^{\infty}f(x)dx$$