I need to evaluate the following integral (this arises from starting with a gaussian variable x and asking what is the average of $(1-x)^{-1}$): \begin{equation} \int_{-\infty}^\infty dx \frac{e^{-x^2}}{(1-x)^2} \end{equation} Is there any meaningful way to make this integral finite and well defined?
2026-03-26 17:45:59.1774547159
Gaussian integral with a pole of order 2
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