- #1
ADCooper
- 20
- 1
Homework Statement
Consider the Gaussian Distribution
[itex]ρ(x) = A e^{-λ(x-a)^{2}}[/itex]
where A, a, and λ are constants. Determine the normalization constant A.
Homework Equations
[itex]\int^{∞}_{-∞}ρ(x) dx = 1[/itex]
The Attempt at a Solution
The problem recommends you look up all necessary integrals, so I did and I think that I've got it correct. I found that [itex]A = \sqrt{\frac{λ}{π}} [/itex]. My question, if this answer is correct, is just: how do you do this integral? Do you have to actually do some kind of change of variables to a different coordinate system?