Find $\displaystyle\int^2_0 \dfrac{1}{(1-x)^2} dx$.
Is there a way of doing this without considering the asymptote at $x=1$? What if you didn't know at first that there was indeed an asymptote at this point?
2026-05-05 13:06:16.1777986376
Calculating integrals with asymptotes?
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I upvoted the other answer because I agree. However there are a few Nice identities
https://en.m.wikipedia.org/wiki/Sokhotski%E2%80%93Plemelj_theorem
https://en.m.wikipedia.org/wiki/Hadamard_finite_part_integral
Or on the complex plane
https://en.m.wikipedia.org/wiki/Kramers-Kronig_relations