3.13.1 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{10}} \, dx\)
  3.13.2 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{11}} \, dx\)
  3.13.3 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{12}} \, dx\)
  3.13.4 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{13}} \, dx\)
  3.13.5 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{14}} \, dx\)
  3.13.6 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{15}} \, dx\)
  3.13.7 \(\int \frac {(d+e x)^5}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.8 \(\int \frac {(d+e x)^4}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.9 \(\int \frac {(d+e x)^3}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.10 \(\int \frac {(d+e x)^2}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.11 \(\int \frac {d+e x}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.12 \(\int \frac {1}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.13 \(\int \frac {1}{(d+e x) (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.13.14 \(\int \frac {1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.13.15 \(\int \frac {1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.13.16 \(\int \frac {1}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.13.17 \(\int \frac {(d+e x)^6}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.18 \(\int \frac {(d+e x)^5}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.19 \(\int \frac {(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.20 \(\int \frac {(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.21 \(\int \frac {(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.22 \(\int \frac {d+e x}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.23 \(\int \frac {1}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.24 \(\int \frac {1}{(d+e x) (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.25 \(\int \frac {1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.26 \(\int \frac {1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.13.27 \(\int \frac {(d+e x)^8}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.28 \(\int \frac {(d+e x)^7}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.29 \(\int \frac {(d+e x)^6}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.30 \(\int \frac {(d+e x)^5}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.31 \(\int \frac {(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.32 \(\int \frac {(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.33 \(\int \frac {(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.34 \(\int \frac {d+e x}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.35 \(\int \frac {1}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.36 \(\int \frac {1}{(d+e x) (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.37 \(\int \frac {1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.38 \(\int \frac {1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.13.39 \(\int (d+e x) (9+12 x+4 x^2)^3 \, dx\)
  3.13.40 \(\int (d+e x) (9+12 x+4 x^2)^2 \, dx\)
  3.13.41 \(\int (d+e x) (9+12 x+4 x^2) \, dx\)
  3.13.42 \(\int \frac {d+e x}{9+12 x+4 x^2} \, dx\)
  3.13.43 \(\int \frac {d+e x}{(9+12 x+4 x^2)^2} \, dx\)
  3.13.44 \(\int \frac {d+e x}{(9+12 x+4 x^2)^3} \, dx\)
  3.13.45 \(\int (d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.46 \(\int (d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.47 \(\int (d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.48 \(\int (d+e x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.49 \(\int \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.13.50 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{d+e x} \, dx\)
  3.13.51 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^2} \, dx\)
  3.13.52 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^3} \, dx\)
  3.13.53 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^4} \, dx\)
  3.13.54 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^5} \, dx\)
  3.13.55 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^6} \, dx\)
  3.13.56 \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.13.57 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.13.58 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.13.59 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.13.60 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.13.61 \(\int (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.13.62 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{d+e x} \, dx\)
  3.13.63 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^2} \, dx\)
  3.13.64 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^3} \, dx\)
  3.13.65 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^4} \, dx\)
  3.13.66 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^5} \, dx\)
  3.13.67 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^6} \, dx\)
  3.13.68 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^7} \, dx\)
  3.13.69 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^8} \, dx\)
  3.13.70 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^9} \, dx\)
  3.13.71 \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.13.72 \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.13.73 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.13.74 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.13.75 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.13.76 \(\int (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.13.77 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{d+e x} \, dx\)
  3.13.78 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^2} \, dx\)
  3.13.79 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^3} \, dx\)
  3.13.80 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^4} \, dx\)
  3.13.81 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^5} \, dx\)
  3.13.82 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^6} \, dx\)
  3.13.83 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^7} \, dx\)
  3.13.84 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^8} \, dx\)
  3.13.85 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^9} \, dx\)
  3.13.86 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\)
  3.13.87 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\)
  3.13.88 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{12}} \, dx\)
  3.13.89 \(\int \frac {(d+e x)^4}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.90 \(\int \frac {(d+e x)^3}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.91 \(\int \frac {(d+e x)^2}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.92 \(\int \frac {d+e x}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.93 \(\int \frac {1}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.94 \(\int \frac {1}{(d+e x) \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.95 \(\int \frac {1}{(d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.96 \(\int \frac {1}{(d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.97 \(\int \frac {1}{(d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.13.98 \(\int \frac {(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.13.99 \(\int \frac {(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.13.100 \(\int \frac {(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)