3.3.1 \(\int x^{15} (c+d x)^7 (2 c+3 d x) \, dx\)
  3.3.2 \(\int (a+b x) (1+(a x+\frac {b x^2}{2})^4) \, dx\)
  3.3.3 \(\int (a+b x) (1+(c+a x+\frac {b x^2}{2})^4) \, dx\)
  3.3.4 \(\int (a+b x) (1+(a x+\frac {b x^2}{2})^n) \, dx\)
  3.3.5 \(\int (a+b x) (1+(c+a x+\frac {b x^2}{2})^n) \, dx\)
  3.3.6 \(\int (a+c x^2) (1+(a x+\frac {c x^3}{3})^5) \, dx\)
  3.3.7 \(\int (a+c x^2) (1+(d+a x+\frac {c x^3}{3})^5) \, dx\)
  3.3.8 \(\int (b x+c x^2) (1+(\frac {b x^2}{2}+\frac {c x^3}{3})^5) \, dx\)
  3.3.9 \(\int (b x+c x^2) (1+(d+\frac {b x^2}{2}+\frac {c x^3}{3})^5) \, dx\)
  3.3.10 \(\int (a+b x+c x^2) (1+(a x+\frac {b x^2}{2}+\frac {c x^3}{3})^5) \, dx\)
  3.3.11 \(\int (a+b x+c x^2) (1+(d+a x+\frac {b x^2}{2}+\frac {c x^3}{3})^5) \, dx\)
  3.3.12 \(\int (a+c x^2) (1+(a x+\frac {c x^3}{3})^n) \, dx\)
  3.3.13 \(\int (b x+c x^2) (1+(\frac {b x^2}{2}+\frac {c x^3}{3})^n) \, dx\)
  3.3.14 \(\int (a+b x+c x^2) (1+(a x+\frac {b x^2}{2}+\frac {c x^3}{3})^n) \, dx\)
  3.3.15 \(\int (-4+4 x+x^2) (5-12 x+6 x^2+x^3) \, dx\)
  3.3.16 \(\int (2 x+x^3) (1+4 x^2+x^4) \, dx\)
  3.3.17 \(\int (1+2 x) (x+x^2)^3 (-18+7 (x+x^2)^3)^2 \, dx\)
  3.3.18 \(\int x^3 (1+x)^3 (1+2 x) (-18+7 x^3 (1+x)^3)^2 \, dx\)
  3.3.19 \(\int \frac {2-x^2}{(1-6 x+x^3)^5} \, dx\)
  3.3.20 \(\int \frac {2 x+x^2}{4+3 x^2+x^3} \, dx\)
  3.3.21 \(\int \frac {1+x+x^3}{4 x+2 x^2+x^4} \, dx\)
  3.3.22 \(\int \frac {b c-a d-2 a e x-b e x^2-3 a f x^2-2 b f x^3}{(c+d x+e x^2+f x^3)^2} \, dx\)
  3.3.23 \(\int \frac {A+B x+C x^2+D x^3}{a+b x+c x^2+b x^3+a x^4} \, dx\)
  3.3.24 \(\int \frac {2+x-4 x^2+2 x^3}{1-x+x^2-x^3+x^4} \, dx\)
  3.3.25 \(\int \frac {3 x+3 x^2+x^3}{1+4 x+6 x^2+4 x^3+x^4} \, dx\)
  3.3.26 \(\int \frac {-1+3 x-3 x^2+x^3}{1+4 x+6 x^2+4 x^3+x^4} \, dx\)
  3.3.27 \(\int \frac {9-40 x-18 x^2+174 x^4+24 x^5+26 x^6-39 x^8}{(3+2 x^2+x^4)^3} \, dx\)
  3.3.28 \(\int \frac {-1+4 x^5}{(1+x+x^5)^2} \, dx\)
  3.3.29 \(\int \frac {1+x^2}{(1-7 x^2+7 x^4-x^6)^2} \, dx\)
  3.3.30 \(\int x^m (a+b x+c x^2+d x^3)^p (a (1+m)+x (b (2+m+p)+x (c (3+m+2 p)+d (4+m+3 p) x))) \, dx\)
  3.3.31 \(\int x^2 (a+b x+c x^2+d x^3)^p (3 a+b (4+p) x+c (5+2 p) x^2+d (6+3 p) x^3) \, dx\)
  3.3.32 \(\int x (a+b x+c x^2+d x^3)^p (2 a+b (3+p) x+c (4+2 p) x^2+d (5+3 p) x^3) \, dx\)
  3.3.33 \(\int (a+b x+c x^2+d x^3)^p (a+b (2+p) x+c (3+2 p) x^2+d (4+3 p) x^3) \, dx\)
  3.3.34 \(\int \frac {(a+b x+c x^2+d x^3)^p (b (1+p) x+c (2+2 p) x^2+d (3+3 p) x^3)}{x} \, dx\)
  3.3.35 \(\int \frac {(a+b x+c x^2+d x^3)^p (-a+b p x+c (1+2 p) x^2+d (2+3 p) x^3)}{x^2} \, dx\)
  3.3.36 \(\int \frac {(a+b x+c x^2+d x^3)^p (-2 a+b (-1+p) x+2 c p x^2+d (1+3 p) x^3)}{x^3} \, dx\)
  3.3.37 \(\int \frac {(a+b x+c x^2+d x^3)^p (-3 a+b (-2+p) x+c (-1+2 p) x^2+3 d p x^3)}{x^4} \, dx\)
  3.3.38 \(\int \frac {x^4 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
  3.3.39 \(\int \frac {x^3 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
  3.3.40 \(\int \frac {x^2 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
  3.3.41 \(\int \frac {x (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
  3.3.42 \(\int \frac {5+x+3 x^2+2 x^3}{2+x+3 x^2+x^3+2 x^4} \, dx\)
  3.3.43 \(\int \frac {5+x+3 x^2+2 x^3}{x (2+x+3 x^2+x^3+2 x^4)} \, dx\)
  3.3.44 \(\int \frac {5+x+3 x^2+2 x^3}{x^2 (2+x+3 x^2+x^3+2 x^4)} \, dx\)
  3.3.45 \(\int \frac {5+x+3 x^2+2 x^3}{x^3 (2+x+3 x^2+x^3+2 x^4)} \, dx\)
  3.3.46 \(\int \frac {x^3 (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\)
  3.3.47 \(\int \frac {x^2 (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\)
  3.3.48 \(\int \frac {x (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\)
  3.3.49 \(\int \frac {5+x+3 x^2+2 x^3}{2+x+5 x^2+x^3+2 x^4} \, dx\)
  3.3.50 \(\int \frac {5+x+3 x^2+2 x^3}{x (2+x+5 x^2+x^3+2 x^4)} \, dx\)
  3.3.51 \(\int \frac {5+x+3 x^2+2 x^3}{x^2 (2+x+5 x^2+x^3+2 x^4)} \, dx\)
  3.3.52 \(\int \frac {5+x+3 x^2+2 x^3}{x^3 (2+x+5 x^2+x^3+2 x^4)} \, dx\)
  3.3.53 \(\int \frac {x^2 (3 a+b x^2)}{a^2+2 a b x^2+b^2 x^4+c^2 x^6} \, dx\)
  3.3.54 \(\int \frac {1-3 x^4}{(-2+x) (1+x^2)^2} \, dx\)
  3.3.55 \(\int \frac {-9-9 x+2 x^2}{-9 x+x^3} \, dx\)
  3.3.56 \(\int \frac {1+2 x^2+x^5}{-x+x^3} \, dx\)
  3.3.57 \(\int \frac {3+2 x^2}{(-1+x)^2 x} \, dx\)
  3.3.58 \(\int \frac {-1+2 x^2}{(-1+4 x) (1+x^2)} \, dx\)
  3.3.59 \(\int \frac {-3+2 x-3 x^2+x^3}{1+x^2} \, dx\)
  3.3.60 \(\int \frac {x+10 x^2+6 x^3+x^4}{10+6 x+x^2} \, dx\)
  3.3.61 \(\int \frac {1}{-18+27 x-7 x^2-3 x^3+x^4} \, dx\)
  3.3.62 \(\int \frac {1+x^3}{-2+x} \, dx\)
  3.3.63 \(\int \frac {3 x-4 x^2+3 x^3}{1+x^2} \, dx\)
  3.3.64 \(\int \frac {5+3 x}{1-x-x^2+x^3} \, dx\)
  3.3.65 \(\int \frac {-1-x-x^3+x^4}{-x^2+x^3} \, dx\)
  3.3.66 \(\int \frac {2+x+x^2+x^3}{2+3 x^2+x^4} \, dx\)
  3.3.67 \(\int \frac {-4+8 x-4 x^2+4 x^3-x^4+x^5}{(2+x^2)^3} \, dx\)
  3.3.68 \(\int \frac {-1-3 x+x^2}{-2 x+x^2+x^3} \, dx\)
  3.3.69 \(\int \frac {3-x+3 x^2-2 x^3+x^4}{3 x-2 x^2+x^3} \, dx\)
  3.3.70 \(\int \frac {-1+x+x^3}{(1+x^2)^2} \, dx\)
  3.3.71 \(\int \frac {1+2 x-x^2+8 x^3+x^4}{(x+x^2) (1+x^3)} \, dx\)
  3.3.72 \(\int \frac {15-5 x+x^2+x^3}{(5+x^2) (3+2 x+x^2)} \, dx\)
  3.3.73 \(\int \frac {-3+25 x+23 x^2+32 x^3+15 x^4+7 x^5+x^6}{(1+x^2)^2 (2+x+x^2)^2} \, dx\)
  3.3.74 \(\int \frac {1}{(1+x^2) (4+x^2)} \, dx\)
  3.3.75 \(\int \frac {a+b x^3}{1+x^2} \, dx\)
  3.3.76 \(\int \frac {x+x^2}{(4+x) (-4+x^2)} \, dx\)
  3.3.77 \(\int \frac {4+x^2}{(1+x^2) (2+x^2)} \, dx\)
  3.3.78 \(\int \frac {5-4 x+3 x^2+x^4}{(-1+x)^2 (1+x^2)} \, dx\)
  3.3.79 \(\int \frac {1+x^4}{2+x^2} \, dx\)
  3.3.80 \(\int \frac {2+2 x+x^4}{x^4+x^5} \, dx\)
  3.3.81 \(\int \frac {-1-5 x+2 x^2}{2-x-2 x^2+x^3} \, dx\)
  3.3.82 \(\int \frac {2+x+x^3}{1+2 x^2+x^4} \, dx\)
  3.3.83 \(\int \frac {1+2 x+x^2+x^3}{1+2 x^2+x^4} \, dx\)
  3.3.84 \(\int \frac {3+4 x}{(1+x^2) (2+x^2)} \, dx\)
  3.3.85 \(\int \frac {2+x}{(1+x^2) (4+x^2)} \, dx\)
  3.3.86 \(\int \frac {2-x+x^3}{-7-6 x+x^2} \, dx\)
  3.3.87 \(\int \frac {-1+x^5}{-1+x^2} \, dx\)
  3.3.88 \(\int \frac {5+2 x-x^2+x^3}{1+x+x^2} \, dx\)
  3.3.89 \(\int \frac {-3+x-2 x^3+x^4}{10-8 x+2 x^2} \, dx\)
  3.3.90 \(\int \frac {1+2 x+3 x^2+x^3}{(-3+x) (-2+x) (-1+x)} \, dx\)
  3.3.91 \(\int \frac {2-7 x+x^2-x^3+x^4}{-24-14 x+x^2+x^3} \, dx\)
  3.3.92 \(\int \frac {2+x^2}{(-1+x)^2 x (1+x)} \, dx\)
  3.3.93 \(\int \frac {3+x^2+x^3}{(2+x^2)^2} \, dx\)
  3.3.94 \(\int \frac {-35+70 x-4 x^2+2 x^3}{(26-10 x+x^2) (17-2 x+x^2)} \, dx\)
  3.3.95 \(\int \frac {2+x^2}{(-5+x) (-3+x) (4+x)} \, dx\)
  3.3.96 \(\int \frac {x^4}{(-1+x) (2+x^2)} \, dx\)
  3.3.97 \(\int \frac {-1+7 x+2 x^2}{-1-x+x^2+x^3} \, dx\)
  3.3.98 \(\int \frac {1+2 x}{-1+3 x-3 x^2+x^3} \, dx\)
  3.3.99 \(\int \frac {5-5 x+7 x^2+x^3}{(-1+x)^2 (1+x)^3} \, dx\)
  3.3.100 \(\int \frac {1+3 x+3 x^2}{1+2 x+2 x^2+x^3} \, dx\)