3.12.1 \(\int \frac {(b d+2 c d x)^{3/2}}{a+b x+c x^2} \, dx\)
  3.12.2 \(\int \frac {\sqrt {b d+2 c d x}}{a+b x+c x^2} \, dx\)
  3.12.3 \(\int \frac {1}{\sqrt {b d+2 c d x} (a+b x+c x^2)} \, dx\)
  3.12.4 \(\int \frac {1}{(b d+2 c d x)^{3/2} (a+b x+c x^2)} \, dx\)
  3.12.5 \(\int \frac {1}{(b d+2 c d x)^{5/2} (a+b x+c x^2)} \, dx\)
  3.12.6 \(\int \frac {1}{(b d+2 c d x)^{7/2} (a+b x+c x^2)} \, dx\)
  3.12.7 \(\int \frac {(b d+2 c d x)^{15/2}}{(a+b x+c x^2)^2} \, dx\)
  3.12.8 \(\int \frac {(b d+2 c d x)^{13/2}}{(a+b x+c x^2)^2} \, dx\)
  3.12.9 \(\int \frac {(b d+2 c d x)^{11/2}}{(a+b x+c x^2)^2} \, dx\)
  3.12.10 \(\int \frac {(b d+2 c d x)^{9/2}}{(a+b x+c x^2)^2} \, dx\)
  3.12.11 \(\int \frac {(b d+2 c d x)^{7/2}}{(a+b x+c x^2)^2} \, dx\)
  3.12.12 \(\int \frac {(b d+2 c d x)^{5/2}}{(a+b x+c x^2)^2} \, dx\)
  3.12.13 \(\int \frac {(b d+2 c d x)^{3/2}}{(a+b x+c x^2)^2} \, dx\)
  3.12.14 \(\int \frac {\sqrt {b d+2 c d x}}{(a+b x+c x^2)^2} \, dx\)
  3.12.15 \(\int \frac {1}{\sqrt {b d+2 c d x} (a+b x+c x^2)^2} \, dx\)
  3.12.16 \(\int \frac {1}{(b d+2 c d x)^{3/2} (a+b x+c x^2)^2} \, dx\)
  3.12.17 \(\int \frac {1}{(b d+2 c d x)^{5/2} (a+b x+c x^2)^2} \, dx\)
  3.12.18 \(\int \frac {1}{(b d+2 c d x)^{7/2} (a+b x+c x^2)^2} \, dx\)
  3.12.19 \(\int \frac {(b d+2 c d x)^{17/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.20 \(\int \frac {(b d+2 c d x)^{15/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.21 \(\int \frac {(b d+2 c d x)^{13/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.22 \(\int \frac {(b d+2 c d x)^{11/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.23 \(\int \frac {(b d+2 c d x)^{9/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.24 \(\int \frac {(b d+2 c d x)^{7/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.25 \(\int \frac {(b d+2 c d x)^{5/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.26 \(\int \frac {(b d+2 c d x)^{3/2}}{(a+b x+c x^2)^3} \, dx\)
  3.12.27 \(\int \frac {\sqrt {b d+2 c d x}}{(a+b x+c x^2)^3} \, dx\)
  3.12.28 \(\int \frac {1}{\sqrt {b d+2 c d x} (a+b x+c x^2)^3} \, dx\)
  3.12.29 \(\int \frac {1}{(b d+2 c d x)^{3/2} (a+b x+c x^2)^3} \, dx\)
  3.12.30 \(\int \frac {1}{(b d+2 c d x)^{5/2} (a+b x+c x^2)^3} \, dx\)
  3.12.31 \(\int \frac {1}{(b d+2 c d x)^{7/2} (a+b x+c x^2)^3} \, dx\)
  3.12.32 \(\int \frac {(1+2 x)^{7/2}}{1+x+x^2} \, dx\)
  3.12.33 \(\int \frac {(1+2 x)^{5/2}}{1+x+x^2} \, dx\)
  3.12.34 \(\int \frac {(1+2 x)^{3/2}}{1+x+x^2} \, dx\)
  3.12.35 \(\int \frac {\sqrt {1+2 x}}{1+x+x^2} \, dx\)
  3.12.36 \(\int \frac {1}{\sqrt {1+2 x} (1+x+x^2)} \, dx\)
  3.12.37 \(\int \frac {1}{(1+2 x)^{3/2} (1+x+x^2)} \, dx\)
  3.12.38 \(\int \frac {1}{(1+2 x)^{5/2} (1+x+x^2)} \, dx\)
  3.12.39 \(\int \frac {(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{11/3}} \, dx\)
  3.12.40 \(\int \frac {(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{17/3}} \, dx\)
  3.12.41 \(\int \frac {(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{23/3}} \, dx\)
  3.12.42 \(\int \frac {(a+b x+c x^2)^{4/3}}{(b d+2 c d x)^{29/3}} \, dx\)
  3.12.43 \(\int (b d+2 c d x)^m (a+b x+c x^2)^3 \, dx\)
  3.12.44 \(\int (b d+2 c d x)^m (a+b x+c x^2)^2 \, dx\)
  3.12.45 \(\int (b d+2 c d x)^m (a+b x+c x^2) \, dx\)
  3.12.46 \(\int (b d+2 c d x)^5 (a+b x+c x^2)^p \, dx\)
  3.12.47 \(\int (b d+2 c d x)^3 (a+b x+c x^2)^p \, dx\)
  3.12.48 \(\int (b d+2 c d x) (a+b x+c x^2)^p \, dx\)
  3.12.49 \(\int \frac {1+x}{(-3+2 x+x^2)^{2/3}} \, dx\)
  3.12.50 \(\int \frac {b+c x}{(a+2 b x+c x^2)^{3/7}} \, dx\)
  3.12.51 \(\int (1+x)^m (1+2 x+x^2)^n \, dx\)
  3.12.52 \(\int (\frac {b e}{2 c}+e x)^m (\frac {b^2}{4 c}+b x+c x^2)^n \, dx\)
  3.12.53 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2) \, dx\)
  3.12.54 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2) \, dx\)
  3.12.55 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2) \, dx\)
  3.12.56 \(\int (d+e x) (a^2+2 a b x+b^2 x^2) \, dx\)
  3.12.57 \(\int (a^2+2 a b x+b^2 x^2) \, dx\)
  3.12.58 \(\int \frac {a^2+2 a b x+b^2 x^2}{d+e x} \, dx\)
  3.12.59 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^2} \, dx\)
  3.12.60 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^3} \, dx\)
  3.12.61 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^4} \, dx\)
  3.12.62 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^5} \, dx\)
  3.12.63 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^6} \, dx\)
  3.12.64 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^7} \, dx\)
  3.12.65 \(\int (d+e x)^6 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.12.66 \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.12.67 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.12.68 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.12.69 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.12.70 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.12.71 \(\int (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.12.72 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{d+e x} \, dx\)
  3.12.73 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^2} \, dx\)
  3.12.74 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^3} \, dx\)
  3.12.75 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^4} \, dx\)
  3.12.76 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^5} \, dx\)
  3.12.77 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^6} \, dx\)
  3.12.78 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^7} \, dx\)
  3.12.79 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^8} \, dx\)
  3.12.80 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^9} \, dx\)
  3.12.81 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{10}} \, dx\)
  3.12.82 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{11}} \, dx\)
  3.12.83 \(\int (d+e x)^8 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.84 \(\int (d+e x)^7 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.85 \(\int (d+e x)^6 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.86 \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.87 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.88 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.89 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.90 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.91 \(\int (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.12.92 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{d+e x} \, dx\)
  3.12.93 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^2} \, dx\)
  3.12.94 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^3} \, dx\)
  3.12.95 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^4} \, dx\)
  3.12.96 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^5} \, dx\)
  3.12.97 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^6} \, dx\)
  3.12.98 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^7} \, dx\)
  3.12.99 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^8} \, dx\)
  3.12.100 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^9} \, dx\)