∫(1/x) dx = ∫(1/x)*(1) dx (Mult. Identity) = (1/x) x - ∫(-1/x^2)*x dx (Integ by Parts) = 1 + ∫(1/x) dx (Simplify)

Hence, ∫(1/x) dx = 1 + ∫(1/x) dx, therefore 0 = 1.

The anomaly corresponds to not adding the constant of integration in the third step.

Edited on October 14, 2007, 6:05 am

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