3.5.1 \(\int \frac {1}{(d+e x) (a+c x^4)^2} \, dx\)
  3.5.2 \(\int \frac {1}{(d+e x)^2 (a+c x^4)^2} \, dx\)
  3.5.3 \(\int \frac {1}{(d+e x)^3 (a+c x^4)^2} \, dx\)
  3.5.4 \(\int \frac {(d+e x)^3}{(a+c x^4)^3} \, dx\)
  3.5.5 \(\int \frac {(d+e x)^2}{(a+c x^4)^3} \, dx\)
  3.5.6 \(\int \frac {d+e x}{(a+c x^4)^3} \, dx\)
  3.5.7 \(\int \frac {1}{(a+c x^4)^3} \, dx\)
  3.5.8 \(\int \frac {1}{(d+e x) (a+c x^4)^3} \, dx\)
  3.5.9 \(\int \frac {1}{(d+e x)^2 (a+c x^4)^3} \, dx\)
  3.5.10 \(\int \frac {1}{(d+e x)^3 (a+c x^4)^3} \, dx\)
  3.5.11 \(\int \frac {-1+x}{1-x+x^2} \, dx\)
  3.5.12 \(\int \frac {-1+x^2}{1+x^3} \, dx\)
  3.5.13 \(\int \frac {-4+3 x}{4-2 x+x^2} \, dx\)
  3.5.14 \(\int \frac {-8+2 x+3 x^2}{8+x^3} \, dx\)
  3.5.15 \(\int \frac {2+x}{-1+2 x+x^2} \, dx\)
  3.5.16 \(\int \frac {-4+x^2}{2-5 x+x^3} \, dx\)
  3.5.17 \(\int \frac {2}{-1+4 x^2} \, dx\)
  3.5.18 \(\int (\frac {1}{-1+2 x}-\frac {1}{1+2 x}) \, dx\)
  3.5.19 \(\int \frac {x}{(1-x^2)^5} \, dx\)
  3.5.20 \(\int (-\frac {1}{32 (-1+x)^5}+\frac {3}{64 (-1+x)^4}-\frac {5}{128 (-1+x)^3}+\frac {5}{256 (-1+x)^2}-\frac {1}{32 (1+x)^5}-\frac {3}{64 (1+x)^4}-\frac {5}{128 (1+x)^3}-\frac {5}{256 (1+x)^2}) \, dx\)
  3.5.21 \(\int \frac {1+x^6}{-1+x^6} \, dx\)
  3.5.22 \(\int \frac {\frac {1}{x^3}+x^3}{-\frac {1}{x^3}+x^3} \, dx\)
  3.5.23 \(\int \frac {-x+x^3}{6+2 x} \, dx\)
  3.5.24 \(\int \frac {x+x^3}{-1+x} \, dx\)
  3.5.25 \(\int (a c+(b c+d) x) \, dx\)
  3.5.26 \(\int (d x+c (a+b x)) \, dx\)
  3.5.27 \(\int \frac {4+4 x}{x^2 (1+x^2)} \, dx\)
  3.5.28 \(\int \frac {24+8 x}{x (-4+x^2)} \, dx\)
  3.5.29 \(\int \frac {-1+x^2}{-2 x+x^3} \, dx\)
  3.5.30 \(\int \frac {1+x^2}{3 x+x^3} \, dx\)
  3.5.31 \(\int \frac {a+3 b x^2}{a x+b x^3} \, dx\)
  3.5.32 \(\int \frac {-2+4 x}{-x+x^3} \, dx\)
  3.5.33 \(\int \frac {4+x}{4 x+x^3} \, dx\)
  3.5.34 \(\int \frac {-x+2 x^3}{1-x^2+x^4} \, dx\)
  3.5.35 \(\int \frac {-3+x}{2 x+3 x^2+x^3} \, dx\)
  3.5.36 \(\int \frac {2+4 x}{x^2+2 x^3+x^4} \, dx\)
  3.5.37 \(\int \frac {1+x}{-6 x+x^2+x^3} \, dx\)
  3.5.38 \(\int \frac {4 x^2+x^3}{x+x^3} \, dx\)
  3.5.39 \(\int \frac {x+2 x^3}{(x^2+x^4)^3} \, dx\)
  3.5.40 \(\int \frac {a x^2+b x^3}{c x^2+d x^3} \, dx\)
  3.5.41 \(\int \frac {x+x^2}{-2 x-x^2+x^3} \, dx\)
  3.5.42 \(\int \frac {1-5 x^2}{x^3 (1+x^2)} \, dx\)
  3.5.43 \(\int \frac {2 x}{(-1+x) (5+x^2)} \, dx\)
  3.5.44 \(\int \frac {2+x^2}{2+x} \, dx\)
  3.5.45 \(\int \frac {1}{(-3+x) (4+x^2)} \, dx\)
  3.5.46 \(\int \frac {-2+3 x^6}{x (5+2 x^6)} \, dx\)
  3.5.47 \(\int \frac {3+2 x}{(-2+x) (5+x)} \, dx\)
  3.5.48 \(\int \frac {x^4}{4+5 x^2+x^4} \, dx\)
  3.5.49 \(\int \frac {1}{(1+x) (2+x)^2 (3+x)^3} \, dx\)
  3.5.50 \(\int \frac {x}{-1+x^2} \, dx\)
  3.5.51 \(\int \frac {1}{(-1+x^2)^2} \, dx\)
  3.5.52 \(\int \frac {x^2}{(1+x^2)^2} \, dx\)
  3.5.53 \(\int \frac {1}{2+3 x} \, dx\)
  3.5.54 \(\int \frac {1}{a^2+x^2} \, dx\)
  3.5.55 \(\int \frac {1}{a+b x^2} \, dx\)
  3.5.56 \(\int \frac {1}{2-x+x^2} \, dx\)
  3.5.57 \(\int x^2 (4-x^2)^2 \, dx\)
  3.5.58 \(\int x (1-x^3)^2 \, dx\)
  3.5.59 \(\int \frac {-4+5 x^2+x^3}{x^2} \, dx\)
  3.5.60 \(\int \frac {-1+x}{3-4 x+3 x^2} \, dx\)
  3.5.61 \(\int (2+x^3)^2 \, dx\)
  3.5.62 \(\int \frac {-4+x^2}{2+x} \, dx\)
  3.5.63 \(\int \frac {1}{(2+x) (1+x^2)} \, dx\)
  3.5.64 \(\int \frac {1}{(1+x) (1+x^2)} \, dx\)
  3.5.65 \(\int \frac {x}{(1+x) (1+x^2)} \, dx\)
  3.5.66 \(\int \frac {2 x+x^2}{(1+x)^2} \, dx\)
  3.5.67 \(\int \frac {-10+x^2}{4+9 x^2+2 x^4} \, dx\)
  3.5.68 \(\int \frac {31+5 x}{11-4 x+3 x^2} \, dx\)
  3.5.69 \(\int \frac {-2+x^2+x^3}{x^4} \, dx\)
  3.5.70 \(\int \frac {1+x+x^3}{x^2} \, dx\)
  3.5.71 \(\int \frac {-2+x^2}{x (2+x^2)} \, dx\)
  3.5.72 \(\int (-3+x) (-7+4 x^2) \, dx\)
  3.5.73 \(\int (-2+7 x)^3 \, dx\)
  3.5.74 \(\int \frac {-7+4 x^2}{3+2 x} \, dx\)
  3.5.75 \(\int \frac {1+x}{(-1+x) x^2} \, dx\)
  3.5.76 \(\int \frac {1}{4 x^2+4 x^3+x^4} \, dx\)
  3.5.77 \(\int \frac {1+x^2}{1+x} \, dx\)
  3.5.78 \(\int \frac {-1+3 x-3 x^2+x^3}{x^2} \, dx\)
  3.5.79 \(\int (\frac {1}{2} (3-\sqrt {37})+x) (\frac {1}{2} (3+\sqrt {37})+x) \, dx\)
  3.5.80 \(\int \frac {4+3 x^2+2 x^3}{(1+x)^4} \, dx\)
  3.5.81 \(\int \frac {x}{(1+x)^2 (1+x^2)} \, dx\)
  3.5.82 \(\int \frac {7-2 x+3 x^2-x^3+x^4}{2+x} \, dx\)
  3.5.83 \(\int \frac {-1+x^3}{-1+x} \, dx\)
  3.5.84 \(\int \frac {2+2 x}{(-1+x)^3 (1+x^2)} \, dx\)
  3.5.85 \(\int \frac {1}{b x+c (d+e x)^2} \, dx\)
  3.5.86 \(\int \frac {1}{a+b x+c (d+e x)^2} \, dx\)
  3.5.87 \(\int \frac {x^2}{1+(-1+x^2)^2} \, dx\)
  3.5.88 \(\int -\frac {15-36 x+5 x^2+12 x^3-34 x^4+140 x^5+15 x^6+8 x^7-30 x^9}{(3+x+x^4)^4} \, dx\)
  3.5.89 \(\int (\frac {3 (-47+228 x+120 x^2+19 x^3)}{(3+x+x^4)^4}+\frac {42-320 x-75 x^2-8 x^3}{(3+x+x^4)^3}+\frac {30 x}{(3+x+x^4)^2}) \, dx\)
  3.5.90 \(\int (\frac {-3+10 x+4 x^3-30 x^5}{(3+x+x^4)^3}-\frac {3 (1+4 x^3) (2-3 x+5 x^2+x^4-5 x^6)}{(3+x+x^4)^4}) \, dx\)