3.8.1 \(\int \frac {x^{9/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.2 \(\int \frac {x^{7/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.3 \(\int \frac {x^{5/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.4 \(\int \frac {x^{3/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.5 \(\int \frac {\sqrt {x} (A+B x)}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.6 \(\int \frac {A+B x}{\sqrt {x} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.7 \(\int \frac {A+B x}{x^{3/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.8 \(\int \frac {A+B x}{x^{5/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.8.9 \(\int x^{7/2} (A+B x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.8.10 \(\int x^{5/2} (A+B x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.8.11 \(\int x^{3/2} (A+B x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.8.12 \(\int \sqrt {x} (A+B x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.8.13 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{\sqrt {x}} \, dx\)
  3.8.14 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{x^{3/2}} \, dx\)
  3.8.15 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{x^{5/2}} \, dx\)
  3.8.16 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{x^{7/2}} \, dx\)
  3.8.17 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{x^{9/2}} \, dx\)
  3.8.18 \(\int x^{7/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.8.19 \(\int x^{5/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.8.20 \(\int x^{3/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.8.21 \(\int \sqrt {x} (A+B x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.8.22 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{\sqrt {x}} \, dx\)
  3.8.23 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{x^{3/2}} \, dx\)
  3.8.24 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{x^{5/2}} \, dx\)
  3.8.25 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{x^{7/2}} \, dx\)
  3.8.26 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{x^{9/2}} \, dx\)
  3.8.27 \(\int x^{7/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.8.28 \(\int x^{5/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.8.29 \(\int x^{3/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.8.30 \(\int \sqrt {x} (A+B x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.8.31 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {x}} \, dx\)
  3.8.32 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{3/2}} \, dx\)
  3.8.33 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{5/2}} \, dx\)
  3.8.34 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{7/2}} \, dx\)
  3.8.35 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{9/2}} \, dx\)
  3.8.36 \(\int \frac {x^{7/2} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.37 \(\int \frac {x^{5/2} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.38 \(\int \frac {x^{3/2} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.39 \(\int \frac {\sqrt {x} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.40 \(\int \frac {A+B x}{\sqrt {x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.41 \(\int \frac {A+B x}{x^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.42 \(\int \frac {A+B x}{x^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.43 \(\int \frac {A+B x}{x^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.44 \(\int \frac {A+B x}{x^{9/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.8.45 \(\int \frac {x^{7/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.46 \(\int \frac {x^{5/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.47 \(\int \frac {x^{3/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.48 \(\int \frac {\sqrt {x} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.49 \(\int \frac {A+B x}{\sqrt {x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.50 \(\int \frac {A+B x}{x^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.51 \(\int \frac {A+B x}{x^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.52 \(\int \frac {A+B x}{x^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.8.53 \(\int \frac {x^{11/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.54 \(\int \frac {x^{9/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.55 \(\int \frac {x^{7/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.56 \(\int \frac {x^{5/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.57 \(\int \frac {x^{3/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.58 \(\int \frac {\sqrt {x} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.59 \(\int \frac {A+B x}{\sqrt {x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.60 \(\int \frac {A+B x}{x^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.61 \(\int \frac {A+B x}{x^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.62 \(\int \frac {A+B x}{x^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.8.63 \(\int x^m (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.8.64 \(\int x^m (A+B x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.8.65 \(\int x^m (A+B x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.8.66 \(\int x^m (1+x) (1+2 x+x^2)^5 \, dx\)
  3.8.67 \(\int x^m (d+e x) (1+2 x+x^2)^5 \, dx\)
  3.8.68 \(\int x^3 (A+B x) (a+b x+c x^2) \, dx\)
  3.8.69 \(\int x^2 (A+B x) (a+b x+c x^2) \, dx\)
  3.8.70 \(\int x (A+B x) (a+b x+c x^2) \, dx\)
  3.8.71 \(\int (A+B x) (a+b x+c x^2) \, dx\)
  3.8.72 \(\int \frac {(A+B x) (a+b x+c x^2)}{x} \, dx\)
  3.8.73 \(\int \frac {(A+B x) (a+b x+c x^2)}{x^2} \, dx\)
  3.8.74 \(\int \frac {(A+B x) (a+b x+c x^2)}{x^3} \, dx\)
  3.8.75 \(\int \frac {(A+B x) (a+b x+c x^2)}{x^4} \, dx\)
  3.8.76 \(\int \frac {(A+B x) (a+b x+c x^2)}{x^5} \, dx\)
  3.8.77 \(\int \frac {(A+B x) (a+b x+c x^2)}{x^6} \, dx\)
  3.8.78 \(\int \frac {(A+B x) (a+b x+c x^2)}{x^7} \, dx\)
  3.8.79 \(\int \frac {(A+B x) (a+b x+c x^2)}{x^8} \, dx\)
  3.8.80 \(\int x^2 (A+B x) (a+b x+c x^2)^2 \, dx\)
  3.8.81 \(\int x (A+B x) (a+b x+c x^2)^2 \, dx\)
  3.8.82 \(\int (A+B x) (a+b x+c x^2)^2 \, dx\)
  3.8.83 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x} \, dx\)
  3.8.84 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^2} \, dx\)
  3.8.85 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^3} \, dx\)
  3.8.86 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^4} \, dx\)
  3.8.87 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^5} \, dx\)
  3.8.88 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^6} \, dx\)
  3.8.89 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^7} \, dx\)
  3.8.90 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^8} \, dx\)
  3.8.91 \(\int \frac {(A+B x) (a+b x+c x^2)^2}{x^9} \, dx\)
  3.8.92 \(\int x^2 (A+B x) (a+b x+c x^2)^3 \, dx\)
  3.8.93 \(\int x (A+B x) (a+b x+c x^2)^3 \, dx\)
  3.8.94 \(\int (A+B x) (a+b x+c x^2)^3 \, dx\)
  3.8.95 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{x} \, dx\)
  3.8.96 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{x^2} \, dx\)
  3.8.97 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{x^3} \, dx\)
  3.8.98 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{x^4} \, dx\)
  3.8.99 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{x^5} \, dx\)
  3.8.100 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{x^6} \, dx\)