3.22.1 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^4} \, dx\)
  3.22.2 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^5} \, dx\)
  3.22.3 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^6} \, dx\)
  3.22.4 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^7} \, dx\)
  3.22.5 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^8} \, dx\)
  3.22.6 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^9} \, dx\)
  3.22.7 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^{10}} \, dx\)
  3.22.8 \(\int \frac {(A+B x) (a+b x+c x^2)^3}{(d+e x)^{11}} \, dx\)
  3.22.9 \(\int x (d+e x)^m (a+b x+c x^2) \, dx\)
  3.22.10 \(\int x (d+e x)^5 (a+b x+c x^2) \, dx\)
  3.22.11 \(\int x (d+e x)^4 (a+b x+c x^2) \, dx\)
  3.22.12 \(\int x (d+e x)^3 (a+b x+c x^2) \, dx\)
  3.22.13 \(\int x (d+e x)^2 (a+b x+c x^2) \, dx\)
  3.22.14 \(\int x (d+e x) (a+b x+c x^2) \, dx\)
  3.22.15 \(\int x (a+b x+c x^2) \, dx\)
  3.22.16 \(\int \frac {x (a+b x+c x^2)}{d+e x} \, dx\)
  3.22.17 \(\int \frac {x (a+b x+c x^2)}{(d+e x)^2} \, dx\)
  3.22.18 \(\int \frac {x (a+b x+c x^2)}{(d+e x)^3} \, dx\)
  3.22.19 \(\int \frac {x (a+b x+c x^2)}{(d+e x)^4} \, dx\)
  3.22.20 \(\int \frac {x (a+b x+c x^2)}{(d+e x)^5} \, dx\)
  3.22.21 \(\int \frac {x (a+b x+c x^2)}{(d+e x)^6} \, dx\)
  3.22.22 \(\int \frac {x (a+b x+c x^2)}{(d+e x)^7} \, dx\)
  3.22.23 \(\int \frac {(A+B x) (d+e x)^3}{a+b x+c x^2} \, dx\)
  3.22.24 \(\int \frac {(A+B x) (d+e x)^2}{a+b x+c x^2} \, dx\)
  3.22.25 \(\int \frac {(A+B x) (d+e x)}{a+b x+c x^2} \, dx\)
  3.22.26 \(\int \frac {A+B x}{a+b x+c x^2} \, dx\)
  3.22.27 \(\int \frac {A+B x}{(d+e x) (a+b x+c x^2)} \, dx\)
  3.22.28 \(\int \frac {A+B x}{(d+e x)^2 (a+b x+c x^2)} \, dx\)
  3.22.29 \(\int \frac {A+B x}{(d+e x)^3 (a+b x+c x^2)} \, dx\)
  3.22.30 \(\int \frac {(d+e x)^4 (f+g x)}{(a+b x+c x^2)^3} \, dx\)
  3.22.31 \(\int \frac {(d+e x)^3 (f+g x)}{(a+b x+c x^2)^3} \, dx\)
  3.22.32 \(\int \frac {(d+e x)^2 (f+g x)}{(a+b x+c x^2)^3} \, dx\)
  3.22.33 \(\int \frac {(d+e x) (f+g x)}{(a+b x+c x^2)^3} \, dx\)
  3.22.34 \(\int \frac {f+g x}{(a+b x+c x^2)^3} \, dx\)
  3.22.35 \(\int \frac {f+g x}{(d+e x) (a+b x+c x^2)^3} \, dx\)
  3.22.36 \(\int \frac {f+g x}{(d+e x)^2 (a+b x+c x^2)^3} \, dx\)
  3.22.37 \(\int \frac {(5-x) (3+2 x)^4}{2+5 x+3 x^2} \, dx\)
  3.22.38 \(\int \frac {(5-x) (3+2 x)^3}{2+5 x+3 x^2} \, dx\)
  3.22.39 \(\int \frac {(5-x) (3+2 x)^2}{2+5 x+3 x^2} \, dx\)
  3.22.40 \(\int \frac {(5-x) (3+2 x)}{2+5 x+3 x^2} \, dx\)
  3.22.41 \(\int \frac {5-x}{2+5 x+3 x^2} \, dx\)
  3.22.42 \(\int \frac {5-x}{(3+2 x) (2+5 x+3 x^2)} \, dx\)
  3.22.43 \(\int \frac {5-x}{(3+2 x)^2 (2+5 x+3 x^2)} \, dx\)
  3.22.44 \(\int \frac {5-x}{(3+2 x)^3 (2+5 x+3 x^2)} \, dx\)
  3.22.45 \(\int \frac {5-x}{(3+2 x)^4 (2+5 x+3 x^2)} \, dx\)
  3.22.46 \(\int \frac {(5-x) (3+2 x)^4}{(2+5 x+3 x^2)^2} \, dx\)
  3.22.47 \(\int \frac {(5-x) (3+2 x)^3}{(2+5 x+3 x^2)^2} \, dx\)
  3.22.48 \(\int \frac {(5-x) (3+2 x)^2}{(2+5 x+3 x^2)^2} \, dx\)
  3.22.49 \(\int \frac {(5-x) (3+2 x)}{(2+5 x+3 x^2)^2} \, dx\)
  3.22.50 \(\int \frac {5-x}{(2+5 x+3 x^2)^2} \, dx\)
  3.22.51 \(\int \frac {5-x}{(3+2 x) (2+5 x+3 x^2)^2} \, dx\)
  3.22.52 \(\int \frac {5-x}{(3+2 x)^2 (2+5 x+3 x^2)^2} \, dx\)
  3.22.53 \(\int \frac {5-x}{(3+2 x)^3 (2+5 x+3 x^2)^2} \, dx\)
  3.22.54 \(\int \frac {5-x}{(3+2 x)^4 (2+5 x+3 x^2)^2} \, dx\)
  3.22.55 \(\int \frac {(5-x) (3+2 x)^5}{(2+5 x+3 x^2)^3} \, dx\)
  3.22.56 \(\int \frac {(5-x) (3+2 x)^4}{(2+5 x+3 x^2)^3} \, dx\)
  3.22.57 \(\int \frac {(5-x) (3+2 x)^3}{(2+5 x+3 x^2)^3} \, dx\)
  3.22.58 \(\int \frac {(5-x) (3+2 x)^2}{(2+5 x+3 x^2)^3} \, dx\)
  3.22.59 \(\int \frac {(5-x) (3+2 x)}{(2+5 x+3 x^2)^3} \, dx\)
  3.22.60 \(\int \frac {5-x}{(2+5 x+3 x^2)^3} \, dx\)
  3.22.61 \(\int \frac {5-x}{(3+2 x) (2+5 x+3 x^2)^3} \, dx\)
  3.22.62 \(\int \frac {5-x}{(3+2 x)^2 (2+5 x+3 x^2)^3} \, dx\)
  3.22.63 \(\int \frac {5-x}{(3+2 x)^3 (2+5 x+3 x^2)^3} \, dx\)
  3.22.64 \(\int \frac {x (1+x)^2}{(1+x+x^2)^3} \, dx\)
  3.22.65 \(\int (5-x) (3+2 x)^4 \sqrt {2+5 x+3 x^2} \, dx\)
  3.22.66 \(\int (5-x) (3+2 x)^3 \sqrt {2+5 x+3 x^2} \, dx\)
  3.22.67 \(\int (5-x) (3+2 x)^2 \sqrt {2+5 x+3 x^2} \, dx\)
  3.22.68 \(\int (5-x) (3+2 x) \sqrt {2+5 x+3 x^2} \, dx\)
  3.22.69 \(\int (5-x) \sqrt {2+5 x+3 x^2} \, dx\)
  3.22.70 \(\int \frac {(5-x) \sqrt {2+5 x+3 x^2}}{3+2 x} \, dx\)
  3.22.71 \(\int \frac {(5-x) \sqrt {2+5 x+3 x^2}}{(3+2 x)^2} \, dx\)
  3.22.72 \(\int \frac {(5-x) \sqrt {2+5 x+3 x^2}}{(3+2 x)^3} \, dx\)
  3.22.73 \(\int \frac {(5-x) \sqrt {2+5 x+3 x^2}}{(3+2 x)^4} \, dx\)
  3.22.74 \(\int \frac {(5-x) \sqrt {2+5 x+3 x^2}}{(3+2 x)^5} \, dx\)
  3.22.75 \(\int \frac {(5-x) \sqrt {2+5 x+3 x^2}}{(3+2 x)^6} \, dx\)
  3.22.76 \(\int \frac {(5-x) \sqrt {2+5 x+3 x^2}}{(3+2 x)^7} \, dx\)
  3.22.77 \(\int (5-x) (3+2 x)^4 (2+5 x+3 x^2)^{3/2} \, dx\)
  3.22.78 \(\int (5-x) (3+2 x)^3 (2+5 x+3 x^2)^{3/2} \, dx\)
  3.22.79 \(\int (5-x) (3+2 x)^2 (2+5 x+3 x^2)^{3/2} \, dx\)
  3.22.80 \(\int (5-x) (3+2 x) (2+5 x+3 x^2)^{3/2} \, dx\)
  3.22.81 \(\int (5-x) (2+5 x+3 x^2)^{3/2} \, dx\)
  3.22.82 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{3+2 x} \, dx\)
  3.22.83 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^2} \, dx\)
  3.22.84 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^3} \, dx\)
  3.22.85 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^4} \, dx\)
  3.22.86 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^5} \, dx\)
  3.22.87 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^6} \, dx\)
  3.22.88 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^7} \, dx\)
  3.22.89 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^8} \, dx\)
  3.22.90 \(\int \frac {(5-x) (2+5 x+3 x^2)^{3/2}}{(3+2 x)^9} \, dx\)
  3.22.91 \(\int (5-x) (3+2 x)^4 (2+5 x+3 x^2)^{5/2} \, dx\)
  3.22.92 \(\int (5-x) (3+2 x)^3 (2+5 x+3 x^2)^{5/2} \, dx\)
  3.22.93 \(\int (5-x) (3+2 x)^2 (2+5 x+3 x^2)^{5/2} \, dx\)
  3.22.94 \(\int (5-x) (3+2 x) (2+5 x+3 x^2)^{5/2} \, dx\)
  3.22.95 \(\int (5-x) (2+5 x+3 x^2)^{5/2} \, dx\)
  3.22.96 \(\int \frac {(5-x) (2+5 x+3 x^2)^{5/2}}{3+2 x} \, dx\)
  3.22.97 \(\int \frac {(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^2} \, dx\)
  3.22.98 \(\int \frac {(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^3} \, dx\)
  3.22.99 \(\int \frac {(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^4} \, dx\)
  3.22.100 \(\int \frac {(5-x) (2+5 x+3 x^2)^{5/2}}{(3+2 x)^5} \, dx\)