3.18.1 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^3}{(d+e x)^4} \, dx\)
  3.18.2 \(\int \frac {(a+b x) (d+e x)^4}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.3 \(\int \frac {(a+b x) (d+e x)^3}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.4 \(\int \frac {(a+b x) (d+e x)^2}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.5 \(\int \frac {(a+b x) (d+e x)}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.6 \(\int \frac {a+b x}{a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.7 \(\int \frac {a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.18.8 \(\int \frac {a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.18.9 \(\int \frac {a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.18.10 \(\int \frac {a+b x}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)} \, dx\)
  3.18.11 \(\int \frac {(a+b x) (d+e x)^4}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.12 \(\int \frac {(a+b x) (d+e x)^3}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.13 \(\int \frac {(a+b x) (d+e x)^2}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.14 \(\int \frac {(a+b x) (d+e x)}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.15 \(\int \frac {a+b x}{(a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.16 \(\int \frac {a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.17 \(\int \frac {a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.18 \(\int \frac {a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.19 \(\int \frac {a+b x}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)^2} \, dx\)
  3.18.20 \(\int \frac {(a+b x) (d+e x)^4}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.21 \(\int \frac {(a+b x) (d+e x)^3}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.22 \(\int \frac {(a+b x) (d+e x)^2}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.23 \(\int \frac {(a+b x) (d+e x)}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.24 \(\int \frac {a+b x}{(a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.25 \(\int \frac {a+b x}{(d+e x) (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.26 \(\int \frac {a+b x}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.27 \(\int \frac {a+b x}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.28 \(\int \frac {a+b x}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)^3} \, dx\)
  3.18.29 \(\int (a+b x) (d+e x)^5 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.30 \(\int (a+b x) (d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.31 \(\int (a+b x) (d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.32 \(\int (a+b x) (d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.33 \(\int (a+b x) (d+e x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.34 \(\int (a+b x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\)
  3.18.35 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{d+e x} \, dx\)
  3.18.36 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^2} \, dx\)
  3.18.37 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^3} \, dx\)
  3.18.38 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^4} \, dx\)
  3.18.39 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^5} \, dx\)
  3.18.40 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^6} \, dx\)
  3.18.41 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^7} \, dx\)
  3.18.42 \(\int \frac {(a+b x) \sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^8} \, dx\)
  3.18.43 \(\int (a+b x) (d+e x)^7 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.44 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.45 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.46 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.47 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.48 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.49 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.50 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\)
  3.18.51 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{d+e x} \, dx\)
  3.18.52 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^2} \, dx\)
  3.18.53 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^3} \, dx\)
  3.18.54 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^4} \, dx\)
  3.18.55 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^5} \, dx\)
  3.18.56 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^6} \, dx\)
  3.18.57 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^7} \, dx\)
  3.18.58 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^8} \, dx\)
  3.18.59 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^9} \, dx\)
  3.18.60 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{10}} \, dx\)
  3.18.61 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{11}} \, dx\)
  3.18.62 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{12}} \, dx\)
  3.18.63 \(\int (a+b x) (d+e x)^9 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.64 \(\int (a+b x) (d+e x)^8 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.65 \(\int (a+b x) (d+e x)^7 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.66 \(\int (a+b x) (d+e x)^6 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.67 \(\int (a+b x) (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.68 \(\int (a+b x) (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.69 \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.70 \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.71 \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.72 \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\)
  3.18.73 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{d+e x} \, dx\)
  3.18.74 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^2} \, dx\)
  3.18.75 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^3} \, dx\)
  3.18.76 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^4} \, dx\)
  3.18.77 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^5} \, dx\)
  3.18.78 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^6} \, dx\)
  3.18.79 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^7} \, dx\)
  3.18.80 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^8} \, dx\)
  3.18.81 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^9} \, dx\)
  3.18.82 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\)
  3.18.83 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\)
  3.18.84 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{12}} \, dx\)
  3.18.85 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13}} \, dx\)
  3.18.86 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{14}} \, dx\)
  3.18.87 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15}} \, dx\)
  3.18.88 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{16}} \, dx\)
  3.18.89 \(\int \frac {(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{17}} \, dx\)
  3.18.90 \(\int \frac {(a+b x) (d+e x)^4}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.91 \(\int \frac {(a+b x) (d+e x)^3}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.92 \(\int \frac {(a+b x) (d+e x)^2}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.93 \(\int \frac {(a+b x) (d+e x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.94 \(\int \frac {a+b x}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.95 \(\int \frac {a+b x}{(d+e x) \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.96 \(\int \frac {a+b x}{(d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.97 \(\int \frac {a+b x}{(d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.98 \(\int \frac {a+b x}{(d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.99 \(\int \frac {a+b x}{(d+e x)^5 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\)
  3.18.100 \(\int \frac {(a+b x) (d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\)