Find the partial fraction decomposition of frac2x2+3x−1x(x2+1)\\frac{2x^2 + 3x - 1}{x(x^2 + 1)}frac2x2+3x−1x(x2+1).
frac−1x+frac3x+2x2+1\\frac{-1}{x} + \\frac{3x + 2}{x^2+1}frac−1x+frac3x+2x2+1
frac1x+fracx+3x2+1\\frac{1}{x} + \\frac{x + 3}{x^2+1}frac1x+fracx+3x2+1
frac−1x+frac3x−2x2+1\\frac{-1}{x} + \\frac{3x-2}{x^2+1}frac−1x+frac3x−2x2+1
frac2x+fracx+1x2+1\\frac{2}{x} + \\frac{x+1}{x^2+1}frac2x+fracx+1x2+1