Can someone explain why the following improper integral diverges?(adsbygoogle = window.adsbygoogle || []).push({});

Integral 1/x dx from -1 to 1

I know if you break it up the individual integrals (from -1 to 0 and 0 to 1) diverge to negative infinity and infinity, whose sum is indeterminant in general, but the symmetry of the integral suggests it "should be zero".

Thanks!

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# Improper integral

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