3.1.1 \(\int \frac {a+b x+\frac {b f x^2}{e}}{\sqrt {d+e x+f x^2}} \, dx\)
  3.1.2 \(\int \frac {1}{\sqrt {d+e x+f x^2} (a+b x+\frac {b f x^2}{e})} \, dx\)
  3.1.3 \(\int \frac {1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)} \, dx\)
  3.1.4 \(\int \frac {1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)^2} \, dx\)
  3.1.5 \(\int \frac {1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)^3} \, dx\)
  3.1.6 \(\int \frac {1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)^4} \, dx\)
  3.1.7 \(\int \frac {1}{\sqrt {d+e x+f x^2} (a e+b e x+b f x^2)^2} \, dx\)
  3.1.8 \(\int \frac {1}{(4+2 x+x^2) \sqrt {5+2 x+x^2}} \, dx\)
  3.1.9 \(\int \frac {\sqrt {1+2 x+x^2}}{\sqrt {1+x^2}} \, dx\)
  3.1.10 \(\int \frac {1}{(-1+x^2)^2 \sqrt {-1+x+x^2}} \, dx\)
  3.1.11 \(\int \frac {\sqrt {-3-4 x-x^2}}{3+4 x+2 x^2} \, dx\)
  3.1.12 \(\int (3-x+2 x^2) (2+3 x+5 x^2)^4 \, dx\)
  3.1.13 \(\int (3-x+2 x^2) (2+3 x+5 x^2)^3 \, dx\)
  3.1.14 \(\int (3-x+2 x^2) (2+3 x+5 x^2)^2 \, dx\)
  3.1.15 \(\int (3-x+2 x^2) (2+3 x+5 x^2) \, dx\)
  3.1.16 \(\int \frac {3-x+2 x^2}{2+3 x+5 x^2} \, dx\)
  3.1.17 \(\int \frac {3-x+2 x^2}{(2+3 x+5 x^2)^2} \, dx\)
  3.1.18 \(\int \frac {3-x+2 x^2}{(2+3 x+5 x^2)^3} \, dx\)
  3.1.19 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2)^4 \, dx\)
  3.1.20 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2)^3 \, dx\)
  3.1.21 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2)^2 \, dx\)
  3.1.22 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2) \, dx\)
  3.1.23 \(\int \frac {(3-x+2 x^2)^2}{2+3 x+5 x^2} \, dx\)
  3.1.24 \(\int \frac {(3-x+2 x^2)^2}{(2+3 x+5 x^2)^2} \, dx\)
  3.1.25 \(\int \frac {(3-x+2 x^2)^2}{(2+3 x+5 x^2)^3} \, dx\)
  3.1.26 \(\int \frac {(3-x+2 x^2)^2}{(2+3 x+5 x^2)^4} \, dx\)
  3.1.27 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2)^4 \, dx\)
  3.1.28 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2)^3 \, dx\)
  3.1.29 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2)^2 \, dx\)
  3.1.30 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2) \, dx\)
  3.1.31 \(\int \frac {(3-x+2 x^2)^3}{2+3 x+5 x^2} \, dx\)
  3.1.32 \(\int \frac {(3-x+2 x^2)^3}{(2+3 x+5 x^2)^2} \, dx\)
  3.1.33 \(\int \frac {(3-x+2 x^2)^3}{(2+3 x+5 x^2)^3} \, dx\)
  3.1.34 \(\int \frac {(2+3 x+5 x^2)^4}{3-x+2 x^2} \, dx\)
  3.1.35 \(\int \frac {(2+3 x+5 x^2)^3}{3-x+2 x^2} \, dx\)
  3.1.36 \(\int \frac {(2+3 x+5 x^2)^2}{3-x+2 x^2} \, dx\)
  3.1.37 \(\int \frac {2+3 x+5 x^2}{3-x+2 x^2} \, dx\)
  3.1.38 \(\int \frac {1}{(3-x+2 x^2) (2+3 x+5 x^2)} \, dx\)
  3.1.39 \(\int \frac {1}{(3-x+2 x^2) (2+3 x+5 x^2)^2} \, dx\)
  3.1.40 \(\int \frac {1}{(3-x+2 x^2) (2+3 x+5 x^2)^3} \, dx\)
  3.1.41 \(\int \frac {(2+3 x+5 x^2)^4}{(3-x+2 x^2)^2} \, dx\)
  3.1.42 \(\int \frac {(2+3 x+5 x^2)^3}{(3-x+2 x^2)^2} \, dx\)
  3.1.43 \(\int \frac {(2+3 x+5 x^2)^2}{(3-x+2 x^2)^2} \, dx\)
  3.1.44 \(\int \frac {2+3 x+5 x^2}{(3-x+2 x^2)^2} \, dx\)
  3.1.45 \(\int \frac {1}{(3-x+2 x^2)^2 (2+3 x+5 x^2)} \, dx\)
  3.1.46 \(\int \frac {1}{(3-x+2 x^2)^2 (2+3 x+5 x^2)^2} \, dx\)
  3.1.47 \(\int \frac {1}{(3-x+2 x^2)^2 (2+3 x+5 x^2)^3} \, dx\)
  3.1.48 \(\int \frac {(2+3 x+5 x^2)^4}{(3-x+2 x^2)^3} \, dx\)
  3.1.49 \(\int \frac {(2+3 x+5 x^2)^3}{(3-x+2 x^2)^3} \, dx\)
  3.1.50 \(\int \frac {(2+3 x+5 x^2)^2}{(3-x+2 x^2)^3} \, dx\)
  3.1.51 \(\int \frac {2+3 x+5 x^2}{(3-x+2 x^2)^3} \, dx\)
  3.1.52 \(\int \frac {1}{(3-x+2 x^2)^3 (2+3 x+5 x^2)} \, dx\)
  3.1.53 \(\int \frac {1}{(3-x+2 x^2)^3 (2+3 x+5 x^2)^2} \, dx\)
  3.1.54 \(\int \frac {1}{(3-x+2 x^2)^3 (2+3 x+5 x^2)^3} \, dx\)
  3.1.55 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2)^4 \, dx\)
  3.1.56 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2)^3 \, dx\)
  3.1.57 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2)^2 \, dx\)
  3.1.58 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2) \, dx\)
  3.1.59 \(\int \frac {\sqrt {3-x+2 x^2}}{2+3 x+5 x^2} \, dx\)
  3.1.60 \(\int \frac {\sqrt {3-x+2 x^2}}{(2+3 x+5 x^2)^2} \, dx\)
  3.1.61 \(\int \frac {\sqrt {3-x+2 x^2}}{(2+3 x+5 x^2)^3} \, dx\)
  3.1.62 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^4 \, dx\)
  3.1.63 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^3 \, dx\)
  3.1.64 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^2 \, dx\)
  3.1.65 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2) \, dx\)
  3.1.66 \(\int \frac {(3-x+2 x^2)^{3/2}}{2+3 x+5 x^2} \, dx\)
  3.1.67 \(\int \frac {(3-x+2 x^2)^{3/2}}{(2+3 x+5 x^2)^2} \, dx\)
  3.1.68 \(\int \frac {(3-x+2 x^2)^{3/2}}{(2+3 x+5 x^2)^3} \, dx\)
  3.1.69 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^4 \, dx\)
  3.1.70 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^3 \, dx\)
  3.1.71 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^2 \, dx\)
  3.1.72 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2) \, dx\)
  3.1.73 \(\int \frac {(3-x+2 x^2)^{5/2}}{2+3 x+5 x^2} \, dx\)
  3.1.74 \(\int \frac {(3-x+2 x^2)^{5/2}}{(2+3 x+5 x^2)^2} \, dx\)
  3.1.75 \(\int \frac {(3-x+2 x^2)^{5/2}}{(2+3 x+5 x^2)^3} \, dx\)
  3.1.76 \(\int \frac {(2+3 x+5 x^2)^4}{\sqrt {3-x+2 x^2}} \, dx\)
  3.1.77 \(\int \frac {(2+3 x+5 x^2)^3}{\sqrt {3-x+2 x^2}} \, dx\)
  3.1.78 \(\int \frac {(2+3 x+5 x^2)^2}{\sqrt {3-x+2 x^2}} \, dx\)
  3.1.79 \(\int \frac {2+3 x+5 x^2}{\sqrt {3-x+2 x^2}} \, dx\)
  3.1.80 \(\int \frac {1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)} \, dx\)
  3.1.81 \(\int \frac {1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)^2} \, dx\)
  3.1.82 \(\int \frac {1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)^3} \, dx\)
  3.1.83 \(\int \frac {(2+3 x+5 x^2)^4}{(3-x+2 x^2)^{3/2}} \, dx\)
  3.1.84 \(\int \frac {(2+3 x+5 x^2)^3}{(3-x+2 x^2)^{3/2}} \, dx\)
  3.1.85 \(\int \frac {(2+3 x+5 x^2)^2}{(3-x+2 x^2)^{3/2}} \, dx\)
  3.1.86 \(\int \frac {2+3 x+5 x^2}{(3-x+2 x^2)^{3/2}} \, dx\)
  3.1.87 \(\int \frac {1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)} \, dx\)
  3.1.88 \(\int \frac {1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^2} \, dx\)
  3.1.89 \(\int \frac {1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^3} \, dx\)
  3.1.90 \(\int \frac {(2+3 x+5 x^2)^4}{(3-x+2 x^2)^{5/2}} \, dx\)
  3.1.91 \(\int \frac {(2+3 x+5 x^2)^3}{(3-x+2 x^2)^{5/2}} \, dx\)
  3.1.92 \(\int \frac {(2+3 x+5 x^2)^2}{(3-x+2 x^2)^{5/2}} \, dx\)
  3.1.93 \(\int \frac {2+3 x+5 x^2}{(3-x+2 x^2)^{5/2}} \, dx\)
  3.1.94 \(\int \frac {1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)} \, dx\)
  3.1.95 \(\int \frac {1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^2} \, dx\)
  3.1.96 \(\int \frac {1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^3} \, dx\)
  3.1.97 \(\int \sqrt {a+b x+c x^2} (d+e x+f x^2)^2 \, dx\)
  3.1.98 \(\int \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
  3.1.99 \(\int \frac {\sqrt {a+b x+c x^2}}{d+e x+f x^2} \, dx\)
  3.1.100 \(\int \frac {\sqrt {a+b x+c x^2}}{(d+e x+f x^2)^2} \, dx\)