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## Main Question or Discussion Point

Can someone explain why the following improper integral diverges?

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!

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!