i want to perform the following integrals(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{-\infty}^{\infty}dx \frac{f(x)}{x^{2}-a^{2}} [/tex]

the problem is that the integral has poles at x=a and x=-a , could we apply

i think this is the definition of Hadamard finite part integral, performing an integral with singularities by means of Cauchy's theorem.

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# Cauchy theorem for integrals

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