∫(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

Posted by K Sengupta on 2007-10-14 04:06:39