3.17.1 \(\int \frac {A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.17.2 \(\int \frac {A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.17.3 \(\int \frac {A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.17.4 \(\int \frac {A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.17.5 \(\int \frac {(A+B x) (d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.6 \(\int \frac {(A+B x) (d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.7 \(\int \frac {(A+B x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.8 \(\int \frac {(A+B x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.9 \(\int \frac {(A+B x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.10 \(\int \frac {(A+B x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.11 \(\int \frac {A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.12 \(\int \frac {A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.13 \(\int \frac {A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.14 \(\int \frac {A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.17.15 \(\int (A+B x) (d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.17.16 \(\int (A+B x) (d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.17.17 \(\int (A+B x) (d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.17.18 \(\int (A+B x) \sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.17.19 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{\sqrt {d+e x}} \, dx\)
  3.17.20 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{3/2}} \, dx\)
  3.17.21 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{5/2}} \, dx\)
  3.17.22 \(\int \frac {(A+B x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{7/2}} \, dx\)
  3.17.23 \(\int (A+B x) (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.17.24 \(\int (A+B x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.17.25 \(\int (A+B x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.17.26 \(\int (A+B x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.17.27 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\)
  3.17.28 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.17.29 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\)
  3.17.30 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\)
  3.17.31 \(\int (A+B x) (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.17.32 \(\int (A+B x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.17.33 \(\int (A+B x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.17.34 \(\int (A+B x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.17.35 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\)
  3.17.36 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\)
  3.17.37 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.17.38 \(\int \frac {(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\)
  3.17.39 \(\int \frac {(A+B x) (d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.17.40 \(\int \frac {(A+B x) (d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.17.41 \(\int \frac {(A+B x) \sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.17.42 \(\int \frac {A+B x}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.17.43 \(\int \frac {A+B x}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.17.44 \(\int \frac {A+B x}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.17.45 \(\int \frac {A+B x}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.17.46 \(\int \frac {(A+B x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.47 \(\int \frac {(A+B x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.48 \(\int \frac {(A+B x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.49 \(\int \frac {(A+B x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.50 \(\int \frac {A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.51 \(\int \frac {A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.52 \(\int \frac {A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.53 \(\int \frac {A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.17.54 \(\int \frac {(A+B x) (d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.55 \(\int \frac {(A+B x) (d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.56 \(\int \frac {(A+B x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.57 \(\int \frac {(A+B x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.58 \(\int \frac {(A+B x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.59 \(\int \frac {(A+B x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.60 \(\int \frac {A+B x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.61 \(\int \frac {A+B x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.62 \(\int \frac {A+B x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.63 \(\int \frac {A+B x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.17.64 \(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.65 \(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\)
  3.17.66 \(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.17.67 \(\int (A+B x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.17.68 \(\int (A+B x) (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.17.69 \(\int (d+e x)^{-3-2 p} (f+g x) (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.17.70 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2) \, dx\)
  3.17.71 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2) \, dx\)
  3.17.72 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2) \, dx\)
  3.17.73 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2) \, dx\)
  3.17.74 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.17.75 \(\int (a+b x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.17.76 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)}{d+e x} \, dx\)
  3.17.77 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^2} \, dx\)
  3.17.78 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^3} \, dx\)
  3.17.79 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)}{(d+e x)^4} \, dx\)
  3.17.80 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.81 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.82 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.83 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.84 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.85 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.86 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.17.87 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^2}{d+e x} \, dx\)
  3.17.88 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^2} \, dx\)
  3.17.89 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^3} \, dx\)
  3.17.90 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^2}{(d+e x)^4} \, dx\)
  3.17.91 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.17.92 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.17.93 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.17.94 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.17.95 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.17.96 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.17.97 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.17.98 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^3}{d+e x} \, dx\)
  3.17.99 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^2} \, dx\)
  3.17.100 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^3} \, dx\)