Evaluate the indefinite integral using the method of partial fractions: ∫1x2−1dx\int \frac{1}{x^2 - 1} dx∫x2−11dx.
12ln∣x−1x+1∣+C\frac{1}{2} \ln|\frac{x-1}{x+1}| + C21ln∣x+1x−1∣+C
12ln∣x+1x−1∣+C\frac{1}{2} \ln|\frac{x+1}{x-1}| + C21ln∣x−1x+1∣+C
ln∣x2−1∣+C\ln|x^2 - 1| + Cln∣x2−1∣+C
12ln∣x2−1∣+C\frac{1}{2} \ln|x^2 - 1| + C21ln∣x2−1∣+C