Homework Statement
Well, the original question is to solve this ...
\sum 1/(a2 + x2)
the sum goes from x=-infinity to infinity (i wasnt sure how to show this with the latex??)
and the answer i am supposed to show is \pi/a + (2*\pi/a) * (1/(e2*\pi*a - 1)
Homework Equations...
Okay, so there is another question, similar in some ways to the previous one, but i am also having trouble. Mainly I am stuck on where to start!
The integral this time is
Int ( e-(x-w)2 - j*x dx
the limits of integration are again, -infinity to infinity.
obviously there is some...
Homework Statement
Basically, i have to find the solution to:
Int( x2 * exp (-(x-w)^2) , x= -infinity.. infinity)
Homework Equations
I realize this is connected to Gaussian Integration. So that if i have Int (exp(-x2), x=-infinity ... infinity) the answer is sqrt(Pi)
Also, i...