The problem is to evaluate the following integral: $$\int_{1}^1 dx \frac{\log{(x+a)}}{(x+b) \sqrt{1x^2}} $$ where $a \gt 1$ and $b \lt 1$. It should be obvious to those who spend time around these integrals that this integral does not converge as stated. However, we only have a simple pole at $x=b$ so that we can compute […]

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