Solving Fourier Transform of f(x)=1/(x^2+6x+13)

saxen
Messages
44
Reaction score
0

Homework Statement


Hi y'all, ran into some trouble with a Fourier transform

Im supposed to find the Fourier transform of

f(x)=\frac{1}{x^{2}+6x+13}


Homework Equations



Not that I know

The Attempt at a Solution



I tried integrating this with no luck.

All help is as usual very much appreciated!
 
Physics news on Phys.org
What are your thoughts on how to do the integration?
 
vela said:
What are your thoughts on how to do the integration?

Sorry, but I don't understand what you mean. Do you mean how I technically evaluate it?
 
What I'm getting at is the rules of the forum say you need to show a serious attempt at doing the problem yourself. Simply saying "I tried but couldn't figure it out" doesn't cut it.
 
vela said:
What I'm getting at is the rules of the forum say you need to show a serious attempt at doing the problem yourself. Simply saying "I tried but couldn't figure it out" doesn't cut it.

Well then, not much else to then lock thread I guess. Will call a friend instead. Thank you for reading though.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top