3.15.1 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\)
  3.15.2 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\)
  3.15.3 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\)
  3.15.4 \(\int \frac {(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\)
  3.15.5 \(\int \frac {(d+e x)^{7/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.6 \(\int \frac {(d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.7 \(\int \frac {(d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.8 \(\int \frac {\sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.9 \(\int \frac {1}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.10 \(\int \frac {1}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.11 \(\int \frac {1}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.12 \(\int \frac {1}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.15.13 \(\int \frac {(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.14 \(\int \frac {(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.15 \(\int \frac {(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.16 \(\int \frac {(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.17 \(\int \frac {\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.18 \(\int \frac {1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.19 \(\int \frac {1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.20 \(\int \frac {1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.21 \(\int \frac {1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.15.22 \(\int \frac {(d+e x)^{13/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.23 \(\int \frac {(d+e x)^{11/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.24 \(\int \frac {(d+e x)^{9/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.25 \(\int \frac {(d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.26 \(\int \frac {(d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.27 \(\int \frac {(d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.28 \(\int \frac {\sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.29 \(\int \frac {1}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.30 \(\int \frac {1}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.31 \(\int \frac {1}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.32 \(\int \frac {1}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.15.33 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.15.34 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.15.35 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\)
  3.15.36 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.15.37 \(\int (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.15.38 \(\int (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.15.39 \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.15.40 \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.15.41 \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.15.42 \(\int (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.15.43 \(\int (d+e x)^{-3-2 p} (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.15.44 \(\int (d+e x) (9+12 x+4 x^2)^p \, dx\)
  3.15.45 \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2) \, dx\)
  3.15.46 \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2) \, dx\)
  3.15.47 \(\int (a+b x) (a c+(b c+a d) x+b d x^2) \, dx\)
  3.15.48 \(\int (a c+(b c+a d) x+b d x^2) \, dx\)
  3.15.49 \(\int \frac {a c+(b c+a d) x+b d x^2}{a+b x} \, dx\)
  3.15.50 \(\int \frac {a c+(b c+a d) x+b d x^2}{(a+b x)^2} \, dx\)
  3.15.51 \(\int \frac {a c+(b c+a d) x+b d x^2}{(a+b x)^3} \, dx\)
  3.15.52 \(\int \frac {a c+(b c+a d) x+b d x^2}{(a+b x)^4} \, dx\)
  3.15.53 \(\int \frac {a c+(b c+a d) x+b d x^2}{(a+b x)^5} \, dx\)
  3.15.54 \(\int \frac {a c+(b c+a d) x+b d x^2}{(a+b x)^6} \, dx\)
  3.15.55 \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^2 \, dx\)
  3.15.56 \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^2 \, dx\)
  3.15.57 \(\int (a+b x) (a c+(b c+a d) x+b d x^2)^2 \, dx\)
  3.15.58 \(\int (a c+(b c+a d) x+b d x^2)^2 \, dx\)
  3.15.59 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{a+b x} \, dx\)
  3.15.60 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^2} \, dx\)
  3.15.61 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^3} \, dx\)
  3.15.62 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^4} \, dx\)
  3.15.63 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^5} \, dx\)
  3.15.64 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^6} \, dx\)
  3.15.65 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^7} \, dx\)
  3.15.66 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^8} \, dx\)
  3.15.67 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^9} \, dx\)
  3.15.68 \(\int \frac {(a c+(b c+a d) x+b d x^2)^2}{(a+b x)^{10}} \, dx\)
  3.15.69 \(\int (a+b x)^3 (a c+(b c+a d) x+b d x^2)^3 \, dx\)
  3.15.70 \(\int (a+b x)^2 (a c+(b c+a d) x+b d x^2)^3 \, dx\)
  3.15.71 \(\int (a+b x) (a c+(b c+a d) x+b d x^2)^3 \, dx\)
  3.15.72 \(\int (a c+(b c+a d) x+b d x^2)^3 \, dx\)
  3.15.73 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{a+b x} \, dx\)
  3.15.74 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^2} \, dx\)
  3.15.75 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^3} \, dx\)
  3.15.76 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^4} \, dx\)
  3.15.77 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^5} \, dx\)
  3.15.78 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^6} \, dx\)
  3.15.79 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^7} \, dx\)
  3.15.80 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^8} \, dx\)
  3.15.81 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^9} \, dx\)
  3.15.82 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{10}} \, dx\)
  3.15.83 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{11}} \, dx\)
  3.15.84 \(\int \frac {(a c+(b c+a d) x+b d x^2)^3}{(a+b x)^{12}} \, dx\)
  3.15.85 \(\int \frac {(a+b x)^6}{a c+(b c+a d) x+b d x^2} \, dx\)
  3.15.86 \(\int \frac {(a+b x)^5}{a c+(b c+a d) x+b d x^2} \, dx\)
  3.15.87 \(\int \frac {(a+b x)^4}{a c+(b c+a d) x+b d x^2} \, dx\)
  3.15.88 \(\int \frac {(a+b x)^3}{a c+(b c+a d) x+b d x^2} \, dx\)
  3.15.89 \(\int \frac {(a+b x)^2}{a c+(b c+a d) x+b d x^2} \, dx\)
  3.15.90 \(\int \frac {a+b x}{a c+(b c+a d) x+b d x^2} \, dx\)
  3.15.91 \(\int \frac {1}{a c+(b c+a d) x+b d x^2} \, dx\)
  3.15.92 \(\int \frac {1}{(a+b x) (a c+(b c+a d) x+b d x^2)} \, dx\)
  3.15.93 \(\int \frac {1}{(a+b x)^2 (a c+(b c+a d) x+b d x^2)} \, dx\)
  3.15.94 \(\int \frac {1}{(a+b x)^3 (a c+(b c+a d) x+b d x^2)} \, dx\)
  3.15.95 \(\int \frac {1}{(a+b x)^4 (a c+(b c+a d) x+b d x^2)} \, dx\)
  3.15.96 \(\int \frac {(a+b x)^6}{(a c+(b c+a d) x+b d x^2)^2} \, dx\)
  3.15.97 \(\int \frac {(a+b x)^5}{(a c+(b c+a d) x+b d x^2)^2} \, dx\)
  3.15.98 \(\int \frac {(a+b x)^4}{(a c+(b c+a d) x+b d x^2)^2} \, dx\)
  3.15.99 \(\int \frac {(a+b x)^3}{(a c+(b c+a d) x+b d x^2)^2} \, dx\)
  3.15.100 \(\int \frac {(a+b x)^2}{(a c+(b c+a d) x+b d x^2)^2} \, dx\)