Evaluate ∫1x2−1 dx\int \frac{1}{x^2 - 1}\,dx∫x2−11dx using partial fractions.
12ln∣x−1∣−12ln∣x+1∣+C\frac{1}{2}\ln|x-1| - \frac{1}{2}\ln|x+1| + C21ln∣x−1∣−21ln∣x+1∣+C
12ln∣x−1x+1∣+C\frac{1}{2}\ln\left|\frac{x-1}{x+1}\right| + C21lnx+1x−1+C
ln∣x2−1∣+C\ln|x^2-1| + Cln∣x2−1∣+C
Both (a) and (b)