3.2.1 \(\int \frac {(g+h x)^3 (d+e x+f x^2)}{\sqrt {a+c x^2}} \, dx\)
  3.2.2 \(\int \frac {(g+h x)^2 (d+e x+f x^2)}{\sqrt {a+c x^2}} \, dx\)
  3.2.3 \(\int \frac {(g+h x) (d+e x+f x^2)}{\sqrt {a+c x^2}} \, dx\)
  3.2.4 \(\int \frac {d+e x+f x^2}{\sqrt {a+c x^2}} \, dx\)
  3.2.5 \(\int \frac {d+e x+f x^2}{(g+h x) \sqrt {a+c x^2}} \, dx\)
  3.2.6 \(\int \frac {d+e x+f x^2}{(g+h x)^2 \sqrt {a+c x^2}} \, dx\)
  3.2.7 \(\int \frac {d+e x+f x^2}{(g+h x)^3 \sqrt {a+c x^2}} \, dx\)
  3.2.8 \(\int \frac {(g+h x)^3 (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
  3.2.9 \(\int \frac {(g+h x)^2 (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
  3.2.10 \(\int \frac {(g+h x) (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
  3.2.11 \(\int \frac {d+e x+f x^2}{(a+c x^2)^{3/2}} \, dx\)
  3.2.12 \(\int \frac {d+e x+f x^2}{(g+h x) (a+c x^2)^{3/2}} \, dx\)
  3.2.13 \(\int \frac {d+e x+f x^2}{(g+h x)^2 (a+c x^2)^{3/2}} \, dx\)
  3.2.14 \(\int \frac {d+e x+f x^2}{(g+h x)^3 (a+c x^2)^{3/2}} \, dx\)
  3.2.15 \(\int \frac {A+B x+C x^2}{(a+c x^2)^{5/2}} \, dx\)
  3.2.16 \(\int \frac {A+B x+C x^2}{(a+c x^2)^{7/2}} \, dx\)
  3.2.17 \(\int \frac {A+B x+C x^2}{(a+c x^2)^{9/2}} \, dx\)
  3.2.18 \(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\)
  3.2.19 \(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\)
  3.2.20 \(\int \frac {(1+2 x) (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\)
  3.2.21 \(\int \frac {1+3 x+4 x^2}{(1+2 x) \sqrt {2+3 x^2}} \, dx\)
  3.2.22 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 \sqrt {2+3 x^2}} \, dx\)
  3.2.23 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 \sqrt {2+3 x^2}} \, dx\)
  3.2.24 \(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
  3.2.25 \(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
  3.2.26 \(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
  3.2.27 \(\int \frac {1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{3/2}} \, dx\)
  3.2.28 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{3/2}} \, dx\)
  3.2.29 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{3/2}} \, dx\)
  3.2.30 \(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
  3.2.31 \(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
  3.2.32 \(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
  3.2.33 \(\int \frac {1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{5/2}} \, dx\)
  3.2.34 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{5/2}} \, dx\)
  3.2.35 \(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{5/2}} \, dx\)
  3.2.36 \(\int (a+b x+c x^2)^4 (A+C x^2) \, dx\)
  3.2.37 \(\int (a+b x+c x^2)^3 (A+C x^2) \, dx\)
  3.2.38 \(\int (a+b x+c x^2)^2 (A+C x^2) \, dx\)
  3.2.39 \(\int (a+b x+c x^2) (A+C x^2) \, dx\)
  3.2.40 \(\int \frac {A+C x^2}{a+b x+c x^2} \, dx\)
  3.2.41 \(\int \frac {A+C x^2}{(a+b x+c x^2)^2} \, dx\)
  3.2.42 \(\int \frac {A+C x^2}{(a+b x+c x^2)^3} \, dx\)
  3.2.43 \(\int \frac {A+C x^2}{(a+b x+c x^2)^4} \, dx\)
  3.2.44 \(\int \frac {(d+e x)^3 (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
  3.2.45 \(\int \frac {(d+e x)^2 (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
  3.2.46 \(\int \frac {(d+e x) (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
  3.2.47 \(\int \frac {f+g x+h x^2}{a+b x+c x^2} \, dx\)
  3.2.48 \(\int \frac {f+g x+h x^2}{(d+e x) (a+b x+c x^2)} \, dx\)
  3.2.49 \(\int \frac {f+g x+h x^2}{(d+e x)^2 (a+b x+c x^2)} \, dx\)
  3.2.50 \(\int \frac {f+g x+h x^2}{(d+e x)^3 (a+b x+c x^2)} \, dx\)
  3.2.51 \(\int \frac {(d+e x)^2 (f+g x+h x^2)}{(a+b x+c x^2)^2} \, dx\)
  3.2.52 \(\int \frac {(d+e x) (f+g x+h x^2)}{(a+b x+c x^2)^2} \, dx\)
  3.2.53 \(\int \frac {f+g x+h x^2}{(a+b x+c x^2)^2} \, dx\)
  3.2.54 \(\int \frac {f+g x+h x^2}{(d+e x) (a+b x+c x^2)^2} \, dx\)
  3.2.55 \(\int \frac {f+g x+h x^2}{(d+e x)^2 (a+b x+c x^2)^2} \, dx\)
  3.2.56 \(\int \frac {x^3 (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
  3.2.57 \(\int \frac {x^2 (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
  3.2.58 \(\int \frac {x (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
  3.2.59 \(\int \frac {1+x+x^2}{(1-x+x^2)^2} \, dx\)
  3.2.60 \(\int \frac {1+x+x^2}{x (1-x+x^2)^2} \, dx\)
  3.2.61 \(\int \frac {1+x+x^2}{x^2 (1-x+x^2)^2} \, dx\)
  3.2.62 \(\int \frac {1+x+x^2}{x^3 (1-x+x^2)^2} \, dx\)
  3.2.63 \(\int \frac {1-x^2}{(1+x+x^2)^2} \, dx\)
  3.2.64 \(\int \frac {1+x^2}{1+x+x^2} \, dx\)
  3.2.65 \(\int \frac {-1+x^2}{25-6 x+x^2} \, dx\)
  3.2.66 \(\int \frac {-10+3 x^2}{4-4 x+x^2} \, dx\)
  3.2.67 \(\int \frac {8+x^2}{6-5 x+x^2} \, dx\)
  3.2.68 \(\int \frac {-4+3 x+x^2}{-8-2 x+x^2} \, dx\)
  3.2.69 \(\int \frac {7+5 x+4 x^2}{5+4 x+4 x^2} \, dx\)
  3.2.70 \(\int \frac {2-x+x^2}{-5+2 x+x^2} \, dx\)
  3.2.71 \(\int \frac {1+4 x+3 x^2}{(4+7 x+2 x^2)^2} \, dx\)
  3.2.72 \(\int \frac {1+x+x^2}{(3+2 x+x^2)^2} \, dx\)
  3.2.73 \(\int \frac {-1+2 x+5 x^2}{(1+x+x^2)^4} \, dx\)
  3.2.74 \(\int (a+b x+c x^2)^{5/2} (A+C x^2) \, dx\)
  3.2.75 \(\int (a+b x+c x^2)^{3/2} (A+C x^2) \, dx\)
  3.2.76 \(\int \sqrt {a+b x+c x^2} (A+C x^2) \, dx\)
  3.2.77 \(\int \frac {A+C x^2}{\sqrt {a+b x+c x^2}} \, dx\)
  3.2.78 \(\int \frac {A+C x^2}{(a+b x+c x^2)^{3/2}} \, dx\)
  3.2.79 \(\int \frac {A+C x^2}{(a+b x+c x^2)^{5/2}} \, dx\)
  3.2.80 \(\int \frac {A+C x^2}{(a+b x+c x^2)^{7/2}} \, dx\)
  3.2.81 \(\int \frac {A+C x^2}{(a+b x+c x^2)^{9/2}} \, dx\)
  3.2.82 \(\int (g+h x)^3 \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
  3.2.83 \(\int (g+h x)^2 \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
  3.2.84 \(\int (g+h x) \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
  3.2.85 \(\int \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
  3.2.86 \(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{g+h x} \, dx\)
  3.2.87 \(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
  3.2.88 \(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
  3.2.89 \(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
  3.2.90 \(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
  3.2.91 \(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
  3.2.92 \(\int (g+h x)^3 (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
  3.2.93 \(\int (g+h x)^2 (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
  3.2.94 \(\int (g+h x) (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
  3.2.95 \(\int (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
  3.2.96 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{g+h x} \, dx\)
  3.2.97 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
  3.2.98 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
  3.2.99 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
  3.2.100 \(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)