The following statements outline the steps for evaluating $$\int \frac{1}{x^2-1} \, dx$$.

I. The denominator of the integrand, $$x^2-1$$, factors as $$(x-1)(x+1)$$.
II. The partial fraction decomposition of $$\frac{1}{x^2-1}$$ is $$\frac{1/2}{x-1} - \frac{1/2}{x+1}$$.
III. The result of the integration is $$\frac{1}{2}\ln\left|\frac{x-1}{x+1}\right| + C$$.

Which of the above statements is/are correct?