3.14.1 \(\int \frac {d+e x}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.14.2 \(\int \frac {1}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.14.3 \(\int \frac {1}{(d+e x) (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.14.4 \(\int \frac {1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.14.5 \(\int \frac {1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.14.6 \(\int \frac {(d+e x)^6}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.7 \(\int \frac {(d+e x)^5}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.8 \(\int \frac {(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.9 \(\int \frac {(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.10 \(\int \frac {(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.11 \(\int \frac {d+e x}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.12 \(\int \frac {1}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.13 \(\int \frac {1}{(d+e x) (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.14 \(\int \frac {1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.15 \(\int \frac {1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.14.16 \(\int (d+e x) (9+12 x+4 x^2)^{5/2} \, dx\)
  3.14.17 \(\int (d+e x) (9+12 x+4 x^2)^{3/2} \, dx\)
  3.14.18 \(\int (d+e x) \sqrt {9+12 x+4 x^2} \, dx\)
  3.14.19 \(\int \frac {d+e x}{\sqrt {9+12 x+4 x^2}} \, dx\)
  3.14.20 \(\int \frac {d+e x}{(9+12 x+4 x^2)^{3/2}} \, dx\)
  3.14.21 \(\int \frac {d+e x}{(9+12 x+4 x^2)^{5/2}} \, dx\)
  3.14.22 \(\int \frac {d+e x}{(9+12 x+4 x^2)^{7/2}} \, dx\)
  3.14.23 \(\int (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2) \, dx\)
  3.14.24 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2) \, dx\)
  3.14.25 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2) \, dx\)
  3.14.26 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2) \, dx\)
  3.14.27 \(\int \frac {a^2+2 a b x+b^2 x^2}{\sqrt {d+e x}} \, dx\)
  3.14.28 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^{3/2}} \, dx\)
  3.14.29 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^{5/2}} \, dx\)
  3.14.30 \(\int \frac {a^2+2 a b x+b^2 x^2}{(d+e x)^{7/2}} \, dx\)
  3.14.31 \(\int (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.14.32 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.14.33 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.14.34 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.14.35 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{\sqrt {d+e x}} \, dx\)
  3.14.36 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{3/2}} \, dx\)
  3.14.37 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{5/2}} \, dx\)
  3.14.38 \(\int \frac {(a^2+2 a b x+b^2 x^2)^2}{(d+e x)^{7/2}} \, dx\)
  3.14.39 \(\int (d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.14.40 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.14.41 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.14.42 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.14.43 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{\sqrt {d+e x}} \, dx\)
  3.14.44 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{3/2}} \, dx\)
  3.14.45 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{5/2}} \, dx\)
  3.14.46 \(\int \frac {(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{7/2}} \, dx\)
  3.14.47 \(\int \frac {(d+e x)^{9/2}}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.48 \(\int \frac {(d+e x)^{7/2}}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.49 \(\int \frac {(d+e x)^{5/2}}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.50 \(\int \frac {(d+e x)^{3/2}}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.51 \(\int \frac {\sqrt {d+e x}}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.52 \(\int \frac {1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.14.53 \(\int \frac {1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.14.54 \(\int \frac {1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.14.55 \(\int \frac {1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.14.56 \(\int \frac {(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.57 \(\int \frac {(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.58 \(\int \frac {(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.59 \(\int \frac {(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.60 \(\int \frac {(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.61 \(\int \frac {\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.62 \(\int \frac {1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.63 \(\int \frac {1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.64 \(\int \frac {1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.65 \(\int \frac {1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.14.66 \(\int \frac {(d+e x)^{15/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.67 \(\int \frac {(d+e x)^{13/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.68 \(\int \frac {(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.69 \(\int \frac {(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.70 \(\int \frac {(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.71 \(\int \frac {(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.72 \(\int \frac {(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.73 \(\int \frac {\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.74 \(\int \frac {1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.75 \(\int \frac {1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.76 \(\int \frac {1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.77 \(\int \frac {1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.14.78 \(\int (d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.79 \(\int (d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.80 \(\int \sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.14.81 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{\sqrt {d+e x}} \, dx\)
  3.14.82 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{3/2}} \, dx\)
  3.14.83 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{5/2}} \, dx\)
  3.14.84 \(\int \frac {\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^{7/2}} \, dx\)
  3.14.85 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.14.86 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.14.87 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.14.88 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\)
  3.14.89 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.14.90 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\)
  3.14.91 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\)
  3.14.92 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\)
  3.14.93 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\)
  3.14.94 \(\int (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.14.95 \(\int (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.14.96 \(\int \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.14.97 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\)
  3.14.98 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\)
  3.14.99 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.14.100 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\)