Evaluate ∫1x2−1dx\int \frac{1}{x^2-1} dx∫x2−11dx using partial fractions.
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∣x+1x−1∣+C\frac{1}{2} \ln|\frac{x+1}{x-1}| + C21ln∣x−1x+1∣+C
ln∣x−1∣−ln∣x+1∣+C\ln|x-1| - \ln|x+1| + Cln∣x−1∣−ln∣x+1∣+C