3.20.1 \(\int \frac {a+b x}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.20.2 \(\int \frac {a+b x}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.20.3 \(\int \frac {a+b x}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.20.4 \(\int \frac {a+b x}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.20.5 \(\int \frac {(a+b x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.6 \(\int \frac {(a+b x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.7 \(\int \frac {(a+b x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.8 \(\int \frac {(a+b x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.9 \(\int \frac {a+b x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.10 \(\int \frac {a+b x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.11 \(\int \frac {a+b x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.12 \(\int \frac {a+b x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.13 \(\int \frac {(a+b x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.14 \(\int \frac {(a+b x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.15 \(\int \frac {(a+b x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.16 \(\int \frac {(a+b x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.17 \(\int \frac {a+b x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.18 \(\int \frac {a+b x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.19 \(\int \frac {a+b x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.20 \(\int \frac {a+b x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\)
  3.20.21 \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.20.22 \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\)
  3.20.23 \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\)
  3.20.24 \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.20.25 \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.20.26 \(\int (a+b x) (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.20.27 \(\int \frac {(a+b x) (d+e x)^m}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.20.28 \(\int (a c+b c x) (d+e x)^{-3-2 p} (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.29 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.30 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.31 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.32 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.33 \(\int (A+B x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.20.34 \(\int \frac {(A+B x) (a c+b c x)^m}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.20.35 \(\int (A+B x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.20.36 \(\int \frac {(A+B x) (a c+b c x)^m}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)
  3.20.37 \(\int (a c+b c x)^m (f+g x) (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.38 \(\int (a c+b c x)^{-3-2 p} (f+g x) (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.39 \(\int (a+b x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^p \, dx\)
  3.20.40 \(\int (a+b x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\)
  3.20.41 \(\int \frac {(a+b x) (a c+b c x)^m}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.20.42 \(\int (d+e x)^3 (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\)
  3.20.43 \(\int (d+e x)^2 (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\)
  3.20.44 \(\int (d+e x) (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\)
  3.20.45 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{d+e x} \, dx\)
  3.20.46 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^2} \, dx\)
  3.20.47 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^3} \, dx\)
  3.20.48 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^4} \, dx\)
  3.20.49 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^5} \, dx\)
  3.20.50 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^6} \, dx\)
  3.20.51 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^7} \, dx\)
  3.20.52 \(\int \frac {(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^8} \, dx\)
  3.20.53 \(\int (d+e x)^3 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\)
  3.20.54 \(\int (d+e x)^2 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\)
  3.20.55 \(\int (d+e x) (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\)
  3.20.56 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{d+e x} \, dx\)
  3.20.57 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^2} \, dx\)
  3.20.58 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^3} \, dx\)
  3.20.59 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^4} \, dx\)
  3.20.60 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^5} \, dx\)
  3.20.61 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^6} \, dx\)
  3.20.62 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^7} \, dx\)
  3.20.63 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^8} \, dx\)
  3.20.64 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^9} \, dx\)
  3.20.65 \(\int (d+e x)^3 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\)
  3.20.66 \(\int (d+e x)^2 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\)
  3.20.67 \(\int (d+e x) (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\)
  3.20.68 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{d+e x} \, dx\)
  3.20.69 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^2} \, dx\)
  3.20.70 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^3} \, dx\)
  3.20.71 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^4} \, dx\)
  3.20.72 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^5} \, dx\)
  3.20.73 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^6} \, dx\)
  3.20.74 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^7} \, dx\)
  3.20.75 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^8} \, dx\)
  3.20.76 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^9} \, dx\)
  3.20.77 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\)
  3.20.78 \(\int \frac {(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\)
  3.20.79 \(\int \frac {(d+e x)^3 (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.80 \(\int \frac {(d+e x)^2 (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.81 \(\int \frac {(d+e x) (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.82 \(\int \frac {f+g x}{(d+e x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.83 \(\int \frac {f+g x}{(d+e x)^2 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.84 \(\int \frac {f+g x}{(d+e x)^3 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.85 \(\int \frac {f+g x}{(d+e x)^4 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.86 \(\int \frac {f+g x}{(d+e x)^5 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\)
  3.20.87 \(\int \frac {(d+e x)^3 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.20.88 \(\int \frac {(d+e x)^2 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.20.89 \(\int \frac {(d+e x) (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.20.90 \(\int \frac {f+g x}{(d+e x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.20.91 \(\int \frac {f+g x}{(d+e x)^2 (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.20.92 \(\int \frac {f+g x}{(d+e x)^3 (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\)
  3.20.93 \(\int \frac {(d+e x)^5 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.20.94 \(\int \frac {(d+e x)^4 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.20.95 \(\int \frac {(d+e x)^3 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.20.96 \(\int \frac {(d+e x)^2 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.20.97 \(\int \frac {(d+e x) (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.20.98 \(\int \frac {f+g x}{(d+e x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.20.99 \(\int \frac {f+g x}{(d+e x)^2 (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)
  3.20.100 \(\int \frac {f+g x}{(d+e x)^3 (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\)