>>12269435The interval as you (presumably) intended is obviously divergent at both ends. If we assume that you actually meant a Cauchy principal value integral, we can rewrite
This decays , so we can split the integral into regions from to and from to , the latter contribution being convergent. However, the former diverges because (bounding each term in the brackets from below)
which is divergent. Thus, the integral as a whole is divergent.
Now please stop posting this shit, it's embarrassing how terrible /sci/ is at introductory calculus.