3.3.1 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
  3.3.2 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^7} \, dx\)
  3.3.3 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^8} \, dx\)
  3.3.4 \(\int (1+2 x)^3 \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
  3.3.5 \(\int (1+2 x)^2 \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
  3.3.6 \(\int (1+2 x) \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
  3.3.7 \(\int \frac {\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
  3.3.8 \(\int \frac {\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
  3.3.9 \(\int \frac {\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
  3.3.10 \(\int (1+2 x)^3 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
  3.3.11 \(\int (1+2 x)^2 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
  3.3.12 \(\int (1+2 x) (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
  3.3.13 \(\int \frac {(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
  3.3.14 \(\int \frac {(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
  3.3.15 \(\int \frac {(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
  3.3.16 \(\int (1+2 x)^3 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
  3.3.17 \(\int (1+2 x)^2 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
  3.3.18 \(\int (1+2 x) (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
  3.3.19 \(\int \frac {(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
  3.3.20 \(\int \frac {(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
  3.3.21 \(\int \frac {(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
  3.3.22 \(\int \frac {(g+h x)^3 (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
  3.3.23 \(\int \frac {(g+h x)^2 (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
  3.3.24 \(\int \frac {(g+h x) (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
  3.3.25 \(\int \frac {d+e x+f x^2}{\sqrt {a+b x+c x^2}} \, dx\)
  3.3.26 \(\int \frac {d+e x+f x^2}{(g+h x) \sqrt {a+b x+c x^2}} \, dx\)
  3.3.27 \(\int \frac {d+e x+f x^2}{(g+h x)^2 \sqrt {a+b x+c x^2}} \, dx\)
  3.3.28 \(\int \frac {d+e x+f x^2}{(g+h x)^3 \sqrt {a+b x+c x^2}} \, dx\)
  3.3.29 \(\int \frac {(g+h x)^3 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.3.30 \(\int \frac {(g+h x)^2 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.3.31 \(\int \frac {(g+h x) (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.3.32 \(\int \frac {d+e x+f x^2}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.3.33 \(\int \frac {d+e x+f x^2}{(g+h x) (a+b x+c x^2)^{3/2}} \, dx\)
  3.3.34 \(\int \frac {d+e x+f x^2}{(g+h x)^2 (a+b x+c x^2)^{3/2}} \, dx\)
  3.3.35 \(\int \frac {d+e x+f x^2}{(g+h x)^3 (a+b x+c x^2)^{3/2}} \, dx\)
  3.3.36 \(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\)
  3.3.37 \(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\)
  3.3.38 \(\int \frac {(1+2 x) (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\)
  3.3.39 \(\int \frac {1+3 x+4 x^2}{(1+2 x) \sqrt {2-x+3 x^2}} \, dx\)
  3.3.40 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 \sqrt {2-x+3 x^2}} \, dx\)
  3.3.41 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 \sqrt {2-x+3 x^2}} \, dx\)
  3.3.42 \(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
  3.3.43 \(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
  3.3.44 \(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
  3.3.45 \(\int \frac {1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{3/2}} \, dx\)
  3.3.46 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{3/2}} \, dx\)
  3.3.47 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{3/2}} \, dx\)
  3.3.48 \(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
  3.3.49 \(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
  3.3.50 \(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
  3.3.51 \(\int \frac {1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{5/2}} \, dx\)
  3.3.52 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{5/2}} \, dx\)
  3.3.53 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{5/2}} \, dx\)
  3.3.54 \(\int \frac {d+e x+f x^2}{(g+h x) (-c g^2+b g h+b h^2 x+c h^2 x^2)^{3/2}} \, dx\)
  3.3.55 \(\int (d+f x^2)^p (2 c d f+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\)
  3.3.56 \(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f-c e^2 p+2 c f^2 (3+2 p) x^2) \, dx\)
  3.3.57 \(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f+3 b e f-c e^2 p+2 b e f p+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\)
  3.3.58 \(\int (d+e x)^3 (a+b x+c x^2)^5 (d (6 b d+5 a e)+(12 c d^2+17 b d e+5 a e^2) x+e (29 c d+11 b e) x^2+17 c e^2 x^3) \, dx\)
  3.3.59 \(\int \frac {x^2+x^3}{-2+x+x^2} \, dx\)
  3.3.60 \(\int \frac {x^2 (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\)
  3.3.61 \(\int \frac {x (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\)
  3.3.62 \(\int \frac {d+e x+f x^2+g x^3}{\sqrt {a+b x+c x^2}} \, dx\)
  3.3.63 \(\int \frac {d+e x+f x^2+g x^3}{x \sqrt {a+b x+c x^2}} \, dx\)
  3.3.64 \(\int \frac {d+e x+f x^2+g x^3}{x^2 \sqrt {a+b x+c x^2}} \, dx\)
  3.3.65 \(\int \frac {d+e x+f x^2+g x^3}{x^3 \sqrt {a+b x+c x^2}} \, dx\)
  3.3.66 \(\int \frac {d+e x+f x^2+g x^3}{x^4 \sqrt {a+b x+c x^2}} \, dx\)
  3.3.67 \(\int \frac {d+e x+f x^2+g x^3}{x^5 \sqrt {a+b x+c x^2}} \, dx\)
  3.3.68 \(\int \frac {d+e x+f x^2+g x^3}{x^6 \sqrt {a+b x+c x^2}} \, dx\)
  3.3.69 \(\int (d+e x)^3 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.70 \(\int (d+e x)^2 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.71 \(\int (d+e x) (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.72 \(\int (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.73 \(\int \frac {(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\)
  3.3.74 \(\int \frac {(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\)
  3.3.75 \(\int \frac {(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\)
  3.3.76 \(\int (d+e x)^3 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.77 \(\int (d+e x)^2 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.78 \(\int (d+e x) (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.79 \(\int (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
  3.3.80 \(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\)
  3.3.81 \(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\)
  3.3.82 \(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\)
  3.3.83 \(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^4} \, dx\)
  3.3.84 \(\int \frac {(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
  3.3.85 \(\int \frac {(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
  3.3.86 \(\int \frac {(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
  3.3.87 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{3+2 x+5 x^2} \, dx\)
  3.3.88 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)} \, dx\)
  3.3.89 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)} \, dx\)
  3.3.90 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)} \, dx\)
  3.3.91 \(\int \frac {(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
  3.3.92 \(\int \frac {(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
  3.3.93 \(\int \frac {(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
  3.3.94 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^2} \, dx\)
  3.3.95 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^2} \, dx\)
  3.3.96 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^2} \, dx\)
  3.3.97 \(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)^2} \, dx\)
  3.3.98 \(\int \frac {(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
  3.3.99 \(\int \frac {(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
  3.3.100 \(\int \frac {(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)