Say I am given the integral ##\displaystyle \int_0^{\infty} \frac{x \sin (ax)}{x^2 - b^2} dx##. How can I determine whether this improper integral converges in the normal sense, or whether I should just look for the Cauchy Principal Value?(adsbygoogle = window.adsbygoogle || []).push({});

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# I Cauchy Principal Value

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