Find the partial fraction decomposition of 3x+1x2−1\frac{3x+1}{x^2-1}x2−13x+1.
1x−1+2x+1\frac{1}{x-1} + \frac{2}{x+1}x−11+x+12
2x−1+1x+1\frac{2}{x-1} + \frac{1}{x+1}x−12+x+11
3x−1−2x+1\frac{3}{x-1} - \frac{2}{x+1}x−13−x+12
1x−1−2x+1\frac{1}{x-1} - \frac{2}{x+1}x−11−x+12