3.6.1 \(\int \frac {(f+g x)^{3/2} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)
  3.6.2 \(\int \frac {\sqrt {f+g x} \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x}} \, dx\)
  3.6.3 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} \sqrt {f+g x}} \, dx\)
  3.6.4 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{3/2}} \, dx\)
  3.6.5 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{5/2}} \, dx\)
  3.6.6 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{7/2}} \, dx\)
  3.6.7 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{9/2}} \, dx\)
  3.6.8 \(\int \frac {\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}}{\sqrt {d+e x} (f+g x)^{11/2}} \, dx\)
  3.6.9 \(\int \frac {(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.6.10 \(\int \frac {\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.6.11 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} \sqrt {f+g x}} \, dx\)
  3.6.12 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{3/2}} \, dx\)
  3.6.13 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{5/2}} \, dx\)
  3.6.14 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{7/2}} \, dx\)
  3.6.15 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{9/2}} \, dx\)
  3.6.16 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{11/2}} \, dx\)
  3.6.17 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{3/2}}{(d+e x)^{3/2} (f+g x)^{13/2}} \, dx\)
  3.6.18 \(\int \frac {(f+g x)^{3/2} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.6.19 \(\int \frac {\sqrt {f+g x} (a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\)
  3.6.20 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} \sqrt {f+g x}} \, dx\)
  3.6.21 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{3/2}} \, dx\)
  3.6.22 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{5/2}} \, dx\)
  3.6.23 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{7/2}} \, dx\)
  3.6.24 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{9/2}} \, dx\)
  3.6.25 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{11/2}} \, dx\)
  3.6.26 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{13/2}} \, dx\)
  3.6.27 \(\int \frac {(a d e+(c d^2+a e^2) x+c d e x^2)^{5/2}}{(d+e x)^{5/2} (f+g x)^{15/2}} \, dx\)
  3.6.28 \(\int (d+e x)^m (f+g x)^3 (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\)
  3.6.29 \(\int (d+e x)^m (f+g x)^2 (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\)
  3.6.30 \(\int (d+e x)^m (f+g x) (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\)
  3.6.31 \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\)
  3.6.32 \(\int (a e+c d x)^n (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\)
  3.6.33 \(\int (d+e x)^m (c d^2 e g-e (c d^2+a e^2) g-c d e^2 g x)^{-1+m} (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\)
  3.6.34 \(\int \frac {(d+e x)^{3/2} (f+g x)^4}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.35 \(\int \frac {(d+e x)^{3/2} (f+g x)^3}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.36 \(\int \frac {(d+e x)^{3/2} (f+g x)^2}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.37 \(\int \frac {(d+e x)^{3/2} (f+g x)}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.38 \(\int \frac {(d+e x)^{3/2}}{\sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.39 \(\int \frac {(d+e x)^{3/2}}{(f+g x) \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.40 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^2 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.41 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^3 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.42 \(\int \frac {(d+e x)^{3/2}}{(f+g x)^4 \sqrt {a d e+(c d^2+a e^2) x+c d e x^2}} \, dx\)
  3.6.43 \(\int \frac {(a+b x+c x^2)^3}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.6.44 \(\int \frac {(a+b x+c x^2)^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.6.45 \(\int \frac {a+b x+c x^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\)
  3.6.46 \(\int \frac {1}{\sqrt {1-d x} \sqrt {1+d x} (a+b x+c x^2)} \, dx\)
  3.6.47 \(\int \frac {1}{\sqrt {1-d x} \sqrt {1+d x} (a+b x+c x^2)^2} \, dx\)
  3.6.48 \(\int \frac {(a+b x+c x^2)^3}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\)
  3.6.49 \(\int \frac {(a+b x+c x^2)^2}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\)
  3.6.50 \(\int \frac {a+b x+c x^2}{(1-d x)^{3/2} (1+d x)^{3/2}} \, dx\)
  3.6.51 \(\int \frac {1}{(1-d x)^{3/2} (1+d x)^{3/2} (a+b x+c x^2)} \, dx\)
  3.6.52 \(\int \frac {1}{(1-d x)^{3/2} (1+d x)^{3/2} (a+b x+c x^2)^2} \, dx\)
  3.6.53 \(\int (d+e x)^3 (f+g x)^n (a+2 c d x+c e x^2) \, dx\)
  3.6.54 \(\int (d+e x)^2 (f+g x)^n (a+2 c d x+c e x^2) \, dx\)
  3.6.55 \(\int (d+e x) (f+g x)^n (a+2 c d x+c e x^2) \, dx\)
  3.6.56 \(\int (f+g x)^n (a+2 c d x+c e x^2) \, dx\)
  3.6.57 \(\int \frac {a+b x+c x^2}{(d+e x) (f+g x)} \, dx\)
  3.6.58 \(\int \frac {(a+b x+c x^2)^2}{(d+e x) (f+g x)} \, dx\)
  3.6.59 \(\int \frac {(a+b x+c x^2)^3}{(d+e x) (f+g x)} \, dx\)
  3.6.60 \(\int \frac {1}{(d+e x) (f+g x) (a+b x+c x^2)} \, dx\)
  3.6.61 \(\int \frac {1}{(d+e x) (f+g x) (a+b x+c x^2)^2} \, dx\)
  3.6.62 \(\int \frac {(d+e x)^3 (a+b x+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.6.63 \(\int \frac {(d+e x)^2 (a+b x+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.6.64 \(\int \frac {(d+e x) (a+b x+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.6.65 \(\int \frac {a+b x+c x^2}{\sqrt {f+g x}} \, dx\)
  3.6.66 \(\int \frac {a+b x+c x^2}{(d+e x) \sqrt {f+g x}} \, dx\)
  3.6.67 \(\int \frac {a+b x+c x^2}{(d+e x)^2 \sqrt {f+g x}} \, dx\)
  3.6.68 \(\int \frac {a+b x+c x^2}{(d+e x)^3 \sqrt {f+g x}} \, dx\)
  3.6.69 \(\int \frac {(d+e x)^3 (a+b x+c x^2)}{(f+g x)^{3/2}} \, dx\)
  3.6.70 \(\int \frac {(d+e x)^2 (a+b x+c x^2)}{(f+g x)^{3/2}} \, dx\)
  3.6.71 \(\int \frac {(d+e x) (a+b x+c x^2)}{(f+g x)^{3/2}} \, dx\)
  3.6.72 \(\int \frac {a+b x+c x^2}{(f+g x)^{3/2}} \, dx\)
  3.6.73 \(\int \frac {a+b x+c x^2}{(d+e x) (f+g x)^{3/2}} \, dx\)
  3.6.74 \(\int \frac {a+b x+c x^2}{(d+e x)^2 (f+g x)^{3/2}} \, dx\)
  3.6.75 \(\int \frac {a+b x+c x^2}{(d+e x)^3 (f+g x)^{3/2}} \, dx\)
  3.6.76 \(\int \frac {\sqrt {-1+x} \sqrt {1+x}}{1+x-x^2} \, dx\)
  3.6.77 \(\int \frac {a+b x+c x^2}{\sqrt {d+e x} \sqrt {f+g x}} \, dx\)
  3.6.78 \(\int \frac {(d+e x)^{3/2} (a+b x+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.6.79 \(\int \frac {\sqrt {d+e x} (a+b x+c x^2)}{\sqrt {f+g x}} \, dx\)
  3.6.80 \(\int \frac {a+b x+c x^2}{\sqrt {d+e x} \sqrt {f+g x}} \, dx\)
  3.6.81 \(\int \frac {a+b x+c x^2}{(d+e x)^{3/2} \sqrt {f+g x}} \, dx\)
  3.6.82 \(\int \frac {a+b x+c x^2}{(d+e x)^{5/2} \sqrt {f+g x}} \, dx\)
  3.6.83 \(\int \frac {a+b x+c x^2}{(d+e x)^{7/2} \sqrt {f+g x}} \, dx\)
  3.6.84 \(\int \frac {a+b x+c x^2}{(d+e x)^{9/2} \sqrt {f+g x}} \, dx\)
  3.6.85 \(\int \frac {\sqrt {d+e x} (a+b x+c x^2)}{(e+f x)^{3/2}} \, dx\)
  3.6.86 \(\int \frac {(d+e x)^{3/2} (15 d^2+20 d e x+8 e^2 x^2)}{\sqrt {a+b x}} \, dx\)
  3.6.87 \(\int \frac {\sqrt {d+e x} (15 d^2+20 d e x+8 e^2 x^2)}{\sqrt {a+b x}} \, dx\)
  3.6.88 \(\int \frac {15 d^2+20 d e x+8 e^2 x^2}{\sqrt {a+b x} \sqrt {d+e x}} \, dx\)
  3.6.89 \(\int \frac {15 d^2+20 d e x+8 e^2 x^2}{\sqrt {a+b x} (d+e x)^{3/2}} \, dx\)
  3.6.90 \(\int \frac {15 d^2+20 d e x+8 e^2 x^2}{\sqrt {a+b x} (d+e x)^{5/2}} \, dx\)
  3.6.91 \(\int \frac {15 d^2+20 d e x+8 e^2 x^2}{\sqrt {a+b x} (d+e x)^{7/2}} \, dx\)
  3.6.92 \(\int \frac {15 d^2+20 d e x+8 e^2 x^2}{\sqrt {a+b x} (d+e x)^{9/2}} \, dx\)
  3.6.93 \(\int \frac {(d+e x)^{3/2}}{\sqrt {f+g x} (a+b x+c x^2)} \, dx\)
  3.6.94 \(\int \frac {\sqrt {d+e x}}{\sqrt {f+g x} (a+b x+c x^2)} \, dx\)
  3.6.95 \(\int \frac {1}{\sqrt {d+e x} \sqrt {f+g x} (a+b x+c x^2)} \, dx\)
  3.6.96 \(\int \frac {1}{(d+e x)^{3/2} \sqrt {f+g x} (a+b x+c x^2)} \, dx\)
  3.6.97 \(\int \frac {(f+g x)^3 \sqrt {a+b x+c x^2}}{d+e x} \, dx\)
  3.6.98 \(\int \frac {(f+g x)^2 \sqrt {a+b x+c x^2}}{d+e x} \, dx\)
  3.6.99 \(\int \frac {(f+g x) \sqrt {a+b x+c x^2}}{d+e x} \, dx\)
  3.6.100 \(\int \frac {\sqrt {a+b x+c x^2}}{d+e x} \, dx\)