Chapter 8.7, Problem 78E

Apparent discrepancy Resolve the apparent discrepancy between

$\begin{array}{l}{\displaystyle \int \frac{dx}{x(x-1)(x+2)}=\frac{1}{6}\ln \frac{{(x-1)}^2|x+2|}{|x{|}^3}}+C\text{and}\\ {\displaystyle \int \frac{dx}{x(x-1)(x+2)}=\frac{\ln |x-1|}{3}}+\frac{\ln |x+2|}{6}-\frac{\ln \left|x\right|}{2}+C.\end{array}$