4 ms·
Another example of the main point in this post is a simpler integral 0 to 2*pi of (sin x)^2 or (cos x)^2. By noting that both integrals will be the same and loo
by tomahunt 10y ago
Another example of the main point in this post is a simpler integral 0 to 2*pi of (sin x)^2 or (cos x)^2. By noting that both integrals will be the same and looking at the integral of their sum.
The Gaussian integral in the post is on of the most useful out there.
I highly recommend the Wikipedia page:
https://en.m.wikipedia.org/wiki/Gaussian_integral https://en.m.wikipedia.org/wiki/Gaussian_integral
Quantum Field Theory in a Nutshell by Zee bases a couple of chapters on this integral.
- n4r9 10y agoWhen I was preparing for the UK STEP examinations, one of the questions had you evaluate an integral I by carefully choosing another integral J such that I+J and I-J were both very easy to evaluate. From there it's just a matter of simultaneous equations. I've never seen this trick replicated elsewhere in research or teaching, but it's stuck with me as an incredibly elegant method.