3.4.1 \(\int \frac {-1+2 x+x^2}{-2 x+3 x^2+2 x^3} \, dx\)
  3.4.2 \(\int \frac {1+4 x-2 x^2+x^4}{1-x-x^2+x^3} \, dx\)
  3.4.3 \(\int \frac {4-x+2 x^2}{4 x+x^3} \, dx\)
  3.4.4 \(\int \frac {1+x^2+x^3}{(-1+x) x (1+x^2)^3 (1+x+x^2)} \, dx\)
  3.4.5 \(\int \frac {1-3 x+2 x^2-x^3}{(1+x^2)^2} \, dx\)
  3.4.6 \(\int \frac {1-3 x+2 x^2-x^3}{x (1+x^2)^2} \, dx\)
  3.4.7 \(\int \frac {1-x-x^2+x^3+x^4}{-x+x^3} \, dx\)
  3.4.8 \(\int \frac {2-4 x^2+x^3}{(1+x^2) (2+x^2)} \, dx\)
  3.4.9 \(\int \frac {1+x^2+x^4}{(1+x^2) (4+x^2)^2} \, dx\)
  3.4.10 \(\int \frac {1+x^2+x^3}{2 x^2+x^3+x^4} \, dx\)
  3.4.11 \(\int \frac {1-12 x+x^2+x^3}{-12+x+x^2} \, dx\)
  3.4.12 \(\int \frac {-3+5 x+6 x^2}{-3 x+2 x^2+x^3} \, dx\)
  3.4.13 \(\int \frac {-2+3 x+5 x^2}{2 x^2+x^3} \, dx\)
  3.4.14 \(\int \frac {18-2 x-4 x^2}{-6+x+4 x^2+x^3} \, dx\)
  3.4.15 \(\int \frac {1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx\)
  3.4.16 \(\int \frac {-32+5 x-27 x^2+4 x^3}{-70-299 x-286 x^2+50 x^3-13 x^4+30 x^5} \, dx\)
  3.4.17 \(\int \frac {8-13 x^2-7 x^3+12 x^5}{4-20 x+41 x^2-80 x^3+116 x^4-80 x^5+100 x^6} \, dx\)
  3.4.18 \(\int \frac {9+x^4}{x^2 (9+x^2)} \, dx\)
  3.4.19 \(\int \frac {2 x+x^4}{1+x^2} \, dx\)
  3.4.20 \(\int \frac {-x+x^3}{(-1+x)^2 (1+x^2)} \, dx\)
  3.4.21 \(\int \frac {2+5 x+3 x^2+2 x^3}{1+x+x^2} \, dx\)
  3.4.22 \(\int \frac {3-4 x-5 x^2+3 x^3}{x^3 (-1+x+x^2)} \, dx\)
  3.4.23 \(\int \frac {4+8 x+5 x^2+2 x^3}{(2+2 x+x^2)^2} \, dx\)
  3.4.24 \(\int \frac {(-1+x)^4 x^4}{1+x^2} \, dx\)
  3.4.25 \(\int \frac {-20 x+4 x^2}{9-10 x^2+x^4} \, dx\)
  3.4.26 \(\int \frac {-1+x+4 x^3}{(-1+x) x^2 (1+x^2)} \, dx\)
  3.4.27 \(\int \frac {1-3 x+2 x^2-4 x^3+x^4}{(1+x^2)^3} \, dx\)
  3.4.28 \(\int \frac {1-3 x+2 x^2-4 x^3+x^4}{1+3 x^2+3 x^4+x^6} \, dx\)
  3.4.29 \(\int \frac {1+x+2 x^2+2 x^3}{x^2+x^3+x^4} \, dx\)
  3.4.30 \(\int \frac {x^2 (c+d x)^2}{a+b x^3} \, dx\)
  3.4.31 \(\int \frac {-x+2 x^3+4 x^5}{(3+2 x^2+x^4)^2} \, dx\)
  3.4.32 \(\int \frac {x+x^5}{(1+2 x^2+2 x^4)^3} \, dx\)
  3.4.33 \(\int \frac {a+b x+c x^2}{d+e x^2+f x^4} \, dx\)
  3.4.34 \(\int \frac {(d+e x)^2}{a+b x^2+c x^4} \, dx\)
  3.4.35 \(\int \frac {x^2}{(a+b x) (c+d x)} \, dx\)
  3.4.36 \(\int \frac {x^2}{(c+d x) (a+b x^2)} \, dx\)
  3.4.37 \(\int \frac {x^2}{(c+d x) (a+b x^3)} \, dx\)
  3.4.38 \(\int \frac {x^2}{(c+d x) (a+b x^4)} \, dx\)
  3.4.39 \(\int \frac {x}{(1-x) (1+x)^2} \, dx\)
  3.4.40 \(\int \frac {x^2}{(1-x^2) (1+x^2)^2} \, dx\)
  3.4.41 \(\int \frac {x^3}{(1-x^3) (1+x^3)^2} \, dx\)
  3.4.42 \(\int \frac {9+x+3 x^2+x^3}{(1+x^2) (3+x^2)} \, dx\)
  3.4.43 \(\int \frac {3+x+x^2+x^3}{(1+x^2) (3+x^2)} \, dx\)
  3.4.44 \(\int \frac {-4+6 x-x^2+3 x^3}{(1+x^2) (2+x^2)} \, dx\)
  3.4.45 \(\int \frac {1}{(4-4 x+x^2) (5-4 x+x^2)} \, dx\)
  3.4.46 \(\int \frac {-3+x+x^2}{(-3+x) x^2} \, dx\)
  3.4.47 \(\int \frac {1+x+4 x^2}{x+4 x^3} \, dx\)
  3.4.48 \(\int \frac {1-x+3 x^2}{-x^2+x^3} \, dx\)
  3.4.49 \(\int \frac {4+3 x+x^2}{x+x^2} \, dx\)
  3.4.50 \(\int \frac {4+x+3 x^2}{x+x^3} \, dx\)
  3.4.51 \(\int \frac {7-4 x+8 x^2}{(1+4 x) (1+x^2)} \, dx\)
  3.4.52 \(\int \frac {x^2}{(-1+x) (1+2 x+x^2)} \, dx\)
  3.4.53 \(\int \frac {-4+3 x+x^2}{(-1+2 x)^2 (3+2 x)} \, dx\)
  3.4.54 \(\int \frac {5-4 x+3 x^2}{(-1+x) (1+x^2)} \, dx\)
  3.4.55 \(\int \frac {-1-2 x+x^2}{(-1+x)^2 (1+x^2)} \, dx\)
  3.4.56 \(\int \frac {5+x^3}{(10-6 x+x^2) (\frac {1}{2}-x+x^2)} \, dx\)
  3.4.57 \(\int \frac {4+3 x+x^2}{(-3+x) (-2+x) (-1+x)} \, dx\)
  3.4.58 \(\int \frac {1+16 x}{(5+x)^2 (-3+2 x) (1+x+x^2)} \, dx\)
  3.4.59 \(\int \frac {-1+x^3}{1+x+x^2} \, dx\)
  3.4.60 \(\int \frac {-3+x^3}{-7-6 x+x^2} \, dx\)
  3.4.61 \(\int \frac {1+x^3}{(13+4 x+x^2)^2} \, dx\)
  3.4.62 \(\int \frac {-32+36 x-42 x^2+21 x^3-10 x^4+3 x^5}{x (1+x^2) (4+x^2)^2} \, dx\)
  3.4.63 \(\int \frac {-1+x^4+7 x^5+x^9}{-7+6 x^4+x^8} \, dx\)
  3.4.64 \(\int \frac {1+x^3+x^6}{x+x^5} \, dx\)
  3.4.65 \(\int \frac {1+x^2}{-x+x^2} \, dx\)
  3.4.66 \(\int \frac {1+x^3}{-x+x^3} \, dx\)
  3.4.67 \(\int \frac {1+x^3}{-x^2+x^3} \, dx\)
  3.4.68 \(\int \frac {-1+x^5}{-x+x^3} \, dx\)
  3.4.69 \(\int \frac {1+x^4}{x^3+x^5} \, dx\)
  3.4.70 \(\int \frac {1+x^2}{x+2 x^2+x^3} \, dx\)
  3.4.71 \(\int \frac {1+x^5}{-10 x-3 x^2+x^3} \, dx\)
  3.4.72 \(\int \frac {15-5 x+x^2+x^3}{(5+x^2) (3+2 x+x^2)} \, dx\)
  3.4.73 \(\int \frac {1}{(1+x^2) (3+\frac {10 x}{1+x^2})} \, dx\)
  3.4.74 \(\int \frac {x^3}{13+\frac {2}{x}+15 x} \, dx\)
  3.4.75 \(\int \frac {x^2}{13+\frac {2}{x}+15 x} \, dx\)
  3.4.76 \(\int \frac {x}{13+\frac {2}{x}+15 x} \, dx\)
  3.4.77 \(\int \frac {1}{13+\frac {2}{x}+15 x} \, dx\)
  3.4.78 \(\int \frac {1}{x (13+\frac {2}{x}+15 x)} \, dx\)
  3.4.79 \(\int \frac {1}{x^2 (13+\frac {2}{x}+15 x)} \, dx\)
  3.4.80 \(\int \frac {1}{x^3 (13+\frac {2}{x}+15 x)} \, dx\)
  3.4.81 \(\int \frac {1}{x^4 (13+\frac {2}{x}+15 x)} \, dx\)
  3.4.82 \(\int \frac {1}{x^5 (13+\frac {2}{x}+15 x)} \, dx\)
  3.4.83 \(\int \frac {x^2}{2-(1+x^2)^4} \, dx\)
  3.4.84 \(\int \frac {x^2}{2-(1-x^2)^4} \, dx\)
  3.4.85 \(\int \frac {x^2}{2+(1+x^2)^4} \, dx\)
  3.4.86 \(\int \frac {x^2}{2+(1-x^2)^4} \, dx\)
  3.4.87 \(\int \frac {1-x^2}{a+b (1-x^2)^4} \, dx\)
  3.4.88 \(\int \frac {1-x^2}{a+b (-1+x^2)^4} \, dx\)
  3.4.89 \(\int \frac {(1+x^2)^2}{a x^6+b (1+x^2)^3} \, dx\)
  3.4.90 \(\int \frac {(d+e x)^3}{a+c x^4} \, dx\)
  3.4.91 \(\int \frac {(d+e x)^2}{a+c x^4} \, dx\)
  3.4.92 \(\int \frac {d+e x}{a+c x^4} \, dx\)
  3.4.93 \(\int \frac {1}{a+c x^4} \, dx\)
  3.4.94 \(\int \frac {1}{(d+e x) (a+c x^4)} \, dx\)
  3.4.95 \(\int \frac {1}{(d+e x)^2 (a+c x^4)} \, dx\)
  3.4.96 \(\int \frac {1}{(d+e x)^3 (a+c x^4)} \, dx\)
  3.4.97 \(\int \frac {(d+e x)^3}{(a+c x^4)^2} \, dx\)
  3.4.98 \(\int \frac {(d+e x)^2}{(a+c x^4)^2} \, dx\)
  3.4.99 \(\int \frac {d+e x}{(a+c x^4)^2} \, dx\)
  3.4.100 \(\int \frac {1}{(a+c x^4)^2} \, dx\)