would it be valid (in the sense of residue theorem ) the following evaluation of the divergent integral ?(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{-\infty}^{\infty} \frac{dx}{x^{2}-a^{2}}= \frac{ \pi i}{a} [/tex]

also could we differentiate with respect to [tex] a^{2} [/tex] inside the integral above to calculate

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

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# Cauchy residue formula

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