3.2.1 \(\int \frac {x (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\)
  3.2.2 \(\int \frac {A+B x+C x^2+D x^3}{(a+b x^2)^3} \, dx\)
  3.2.3 \(\int \frac {A+B x+C x^2+D x^3}{x (a+b x^2)^3} \, dx\)
  3.2.4 \(\int \frac {A+B x+C x^2+D x^3}{x^2 (a+b x^2)^3} \, dx\)
  3.2.5 \(\int \frac {A+B x+C x^2+D x^3}{x^3 (a+b x^2)^3} \, dx\)
  3.2.6 \(\int \frac {-x+4 x^3}{(5+x^2)^2} \, dx\)
  3.2.7 \(\int \frac {-x+x^3}{\sqrt {-2+x^2}} \, dx\)
  3.2.8 \(\int \frac {-x^2+2 x^4}{1+2 x^2} \, dx\)
  3.2.9 \(\int \frac {x^3+x^4}{1+x^2} \, dx\)
  3.2.10 \(\int \frac {x^6 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\)
  3.2.11 \(\int \frac {x^4 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\)
  3.2.12 \(\int \frac {x^2 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\)
  3.2.13 \(\int \frac {c+d x^2+e x^4+f x^6}{a+b x^2} \, dx\)
  3.2.14 \(\int \frac {c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)} \, dx\)
  3.2.15 \(\int \frac {c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)} \, dx\)
  3.2.16 \(\int \frac {c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)} \, dx\)
  3.2.17 \(\int \frac {c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)} \, dx\)
  3.2.18 \(\int \frac {c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)} \, dx\)
  3.2.19 \(\int \frac {c+d x^2+e x^4+f x^6}{x^{12} (a+b x^2)} \, dx\)
  3.2.20 \(\int \frac {x^6 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\)
  3.2.21 \(\int \frac {x^4 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\)
  3.2.22 \(\int \frac {x^2 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\)
  3.2.23 \(\int \frac {c+d x^2+e x^4+f x^6}{(a+b x^2)^2} \, dx\)
  3.2.24 \(\int \frac {c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)^2} \, dx\)
  3.2.25 \(\int \frac {c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)^2} \, dx\)
  3.2.26 \(\int \frac {c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)^2} \, dx\)
  3.2.27 \(\int \frac {c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)^2} \, dx\)
  3.2.28 \(\int \frac {c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)^2} \, dx\)
  3.2.29 \(\int \frac {x^8 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\)
  3.2.30 \(\int \frac {x^6 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\)
  3.2.31 \(\int \frac {x^4 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\)
  3.2.32 \(\int \frac {x^2 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\)
  3.2.33 \(\int \frac {c+d x^2+e x^4+f x^6}{(a+b x^2)^3} \, dx\)
  3.2.34 \(\int \frac {c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)^3} \, dx\)
  3.2.35 \(\int \frac {c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)^3} \, dx\)
  3.2.36 \(\int \frac {c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)^3} \, dx\)
  3.2.37 \(\int \frac {c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)^3} \, dx\)
  3.2.38 \(\int \frac {c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)^3} \, dx\)
  3.2.39 \(\int \frac {x^5 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\)
  3.2.40 \(\int \frac {x^3 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\)
  3.2.41 \(\int \frac {x (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\)
  3.2.42 \(\int \frac {c+d x^2+e x^4+f x^6}{x \sqrt {a+b x^2}} \, dx\)
  3.2.43 \(\int \frac {c+d x^2+e x^4+f x^6}{x^3 \sqrt {a+b x^2}} \, dx\)
  3.2.44 \(\int \frac {c+d x^2+e x^4+f x^6}{x^5 \sqrt {a+b x^2}} \, dx\)
  3.2.45 \(\int \frac {c+d x^2+e x^4+f x^6}{x^7 \sqrt {a+b x^2}} \, dx\)
  3.2.46 \(\int \frac {c+d x^2+e x^4+f x^6}{x^9 \sqrt {a+b x^2}} \, dx\)
  3.2.47 \(\int \frac {x^4 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\)
  3.2.48 \(\int \frac {x^2 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\)
  3.2.49 \(\int \frac {c+d x^2+e x^4+f x^6}{\sqrt {a+b x^2}} \, dx\)
  3.2.50 \(\int \frac {c+d x^2+e x^4+f x^6}{x^2 \sqrt {a+b x^2}} \, dx\)
  3.2.51 \(\int \frac {c+d x^2+e x^4+f x^6}{x^4 \sqrt {a+b x^2}} \, dx\)
  3.2.52 \(\int \frac {c+d x^2+e x^4+f x^6}{x^6 \sqrt {a+b x^2}} \, dx\)
  3.2.53 \(\int \frac {c+d x^2+e x^4+f x^6}{x^8 \sqrt {a+b x^2}} \, dx\)
  3.2.54 \(\int \frac {c+d x^2+e x^4+f x^6}{x^{10} \sqrt {a+b x^2}} \, dx\)
  3.2.55 \(\int \frac {x^8 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\)
  3.2.56 \(\int \frac {x^6 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\)
  3.2.57 \(\int \frac {x^4 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\)
  3.2.58 \(\int \frac {x^2 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\)
  3.2.59 \(\int \frac {A+B x^2+C x^4+D x^6}{(a+b x^2)^{9/2}} \, dx\)
  3.2.60 \(\int \frac {A+B x^2+C x^4+D x^6}{x^2 (a+b x^2)^{9/2}} \, dx\)
  3.2.61 \(\int \frac {A+B x^2+C x^4+D x^6}{x^4 (a+b x^2)^{9/2}} \, dx\)
  3.2.62 \(\int \frac {A+B x^2+C x^4+D x^6}{x^6 (a+b x^2)^{9/2}} \, dx\)
  3.2.63 \(\int \frac {A+B x^2+C x^4+D x^6}{x^8 (a+b x^2)^{9/2}} \, dx\)
  3.2.64 \(\int \frac {A+B x^2+C x^4+D x^6}{x^{10} (a+b x^2)^{9/2}} \, dx\)
  3.2.65 \(\int \frac {c x^5+d x^7+e x^9+f x^{11}}{\sqrt {a+b x^2}} \, dx\)
  3.2.66 \(\int \frac {c x^3+d x^5+e x^7+f x^9}{\sqrt {a+b x^2}} \, dx\)
  3.2.67 \(\int \frac {c x+d x^3+e x^5+f x^7}{\sqrt {a+b x^2}} \, dx\)
  3.2.68 \(\int \frac {x^2 (A+B x^2+C x^4+D x^6+F x^8)}{(a+b x^2)^{9/2}} \, dx\)
  3.2.69 \(\int \frac {A+B x^2+C x^4+D x^6+F x^8}{(a+b x^2)^{9/2}} \, dx\)
  3.2.70 \(\int \frac {A+B x^2+C x^4+D x^6+F x^8}{x^2 (a+b x^2)^{9/2}} \, dx\)