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Hi everyone, sorry for the basic question. But I was just wondering how one does the explicit coordinate change from dxdy to dr in the polar-coordinates method for solving the gaussian. I can appreciate that using the polar element and integrating from 0 to inf covers the same area, but how do we do this in a rigorous way? I know it's a basic multivariable calculus question, but I couldn't find what I was looking for by googling.
Thanks!
Thanks!