3.1.1 \(\int (d+e x) (a+b x^2+c x^4) \, dx\)
  3.1.2 \(\int (d+e x+f x^2) (a+b x^2+c x^4) \, dx\)
  3.1.3 \(\int (d+e x+f x^2+g x^3) (a+b x^2+c x^4) \, dx\)
  3.1.4 \(\int (a+b x^2+c x^4) (d+e x+f x^2+g x^3+h x^4) \, dx\)
  3.1.5 \(\int (a+b x^2+c x^4) (d+e x+f x^2+g x^3+h x^4+i x^5) \, dx\)
  3.1.6 \(\int (d+e x) (a+b x^2+c x^4)^2 \, dx\)
  3.1.7 \(\int (d+e x+f x^2) (a+b x^2+c x^4)^2 \, dx\)
  3.1.8 \(\int (d+e x+f x^2+g x^3) (a+b x^2+c x^4)^2 \, dx\)
  3.1.9 \(\int (a+b x^2+c x^4)^2 (d+e x+f x^2+g x^3+h x^4) \, dx\)
  3.1.10 \(\int \frac {d+e x}{4-5 x^2+x^4} \, dx\)
  3.1.11 \(\int \frac {d+e x+f x^2}{4-5 x^2+x^4} \, dx\)
  3.1.12 \(\int \frac {d+e x+f x^2+g x^3}{4-5 x^2+x^4} \, dx\)
  3.1.13 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{4-5 x^2+x^4} \, dx\)
  3.1.14 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{4-5 x^2+x^4} \, dx\)
  3.1.15 \(\int \frac {d+e x}{1+x^2+x^4} \, dx\)
  3.1.16 \(\int \frac {d+e x+f x^2}{1+x^2+x^4} \, dx\)
  3.1.17 \(\int \frac {d+e x+f x^2+g x^3}{1+x^2+x^4} \, dx\)
  3.1.18 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{1+x^2+x^4} \, dx\)
  3.1.19 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{1+x^2+x^4} \, dx\)
  3.1.20 \(\int \frac {d+e x}{a+b x^2+c x^4} \, dx\)
  3.1.21 \(\int \frac {d+e x+f x^2}{a+b x^2+c x^4} \, dx\)
  3.1.22 \(\int \frac {d+e x+f x^2+g x^3}{a+b x^2+c x^4} \, dx\)
  3.1.23 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{a+b x^2+c x^4} \, dx\)
  3.1.24 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{a+b x^2+c x^4} \, dx\)
  3.1.25 \(\int \frac {d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x^2+c x^4} \, dx\)
  3.1.26 \(\int \frac {d+e x}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.27 \(\int \frac {d+e x+f x^2}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.28 \(\int \frac {d+e x+f x^2+g x^3}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.29 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.30 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.31 \(\int \frac {d+e x}{(1+x^2+x^4)^2} \, dx\)
  3.1.32 \(\int \frac {d+e x+f x^2}{(1+x^2+x^4)^2} \, dx\)
  3.1.33 \(\int \frac {d+e x+f x^2+g x^3}{(1+x^2+x^4)^2} \, dx\)
  3.1.34 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{(1+x^2+x^4)^2} \, dx\)
  3.1.35 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{(1+x^2+x^4)^2} \, dx\)
  3.1.36 \(\int \frac {d+e x}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.37 \(\int \frac {d+e x+f x^2}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.38 \(\int \frac {d+e x+f x^2+g x^3}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.39 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.40 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.41 \(\int \frac {d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.42 \(\int \frac {d+e x}{(4-5 x^2+x^4)^3} \, dx\)
  3.1.43 \(\int \frac {d+e x+f x^2}{(4-5 x^2+x^4)^3} \, dx\)
  3.1.44 \(\int \frac {d+e x+f x^2+g x^3}{(4-5 x^2+x^4)^3} \, dx\)
  3.1.45 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{(4-5 x^2+x^4)^3} \, dx\)
  3.1.46 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{(4-5 x^2+x^4)^3} \, dx\)
  3.1.47 \(\int \frac {d+e x}{(1+x^2+x^4)^3} \, dx\)
  3.1.48 \(\int \frac {d+e x+f x^2}{(1+x^2+x^4)^3} \, dx\)
  3.1.49 \(\int \frac {d+e x+f x^2+g x^3}{(1+x^2+x^4)^3} \, dx\)
  3.1.50 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{(1+x^2+x^4)^3} \, dx\)
  3.1.51 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{(1+x^2+x^4)^3} \, dx\)
  3.1.52 \(\int \frac {d+e x}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.53 \(\int \frac {d+e x+f x^2}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.54 \(\int \frac {d+e x+f x^2+g x^3}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.55 \(\int \frac {d+e x+f x^2+g x^3+h x^4}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.56 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.57 \(\int \frac {d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.58 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5+j x^6+k x^7}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.59 \(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5+j x^8+k x^{11}}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.60 \(\int (a+b x^2+c x^4)^3 (a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6) \, dx\)
  3.1.61 \(\int (a+b x^2+c x^4)^2 (a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6) \, dx\)
  3.1.62 \(\int (a+b x^2+c x^4) (a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6) \, dx\)
  3.1.63 \(\int \frac {a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{a+b x^2+c x^4} \, dx\)
  3.1.64 \(\int \frac {a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{(a+b x^2+c x^4)^2} \, dx\)
  3.1.65 \(\int \frac {a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{(a+b x^2+c x^4)^3} \, dx\)
  3.1.66 \(\int \frac {a d+a e x+(b d+a f) x^2+b e x^3+(c d+b f) x^4+c e x^5+c f x^6}{(a+b x^2+c x^4)^4} \, dx\)
  3.1.67 \(\int \frac {2-x-2 x^2+x^3}{4-5 x^2+x^4} \, dx\)
  3.1.68 \(\int \frac {(d+e x) (2-x-2 x^2+x^3)}{4-5 x^2+x^4} \, dx\)
  3.1.69 \(\int \frac {(d+e x+f x^2) (2-x-2 x^2+x^3)}{4-5 x^2+x^4} \, dx\)
  3.1.70 \(\int \frac {(2-x-2 x^2+x^3) (d+e x+f x^2+g x^3)}{4-5 x^2+x^4} \, dx\)
  3.1.71 \(\int \frac {(2-x-2 x^2+x^3) (d+e x+f x^2+g x^3+h x^4)}{4-5 x^2+x^4} \, dx\)
  3.1.72 \(\int \frac {(2-x-2 x^2+x^3) (d+e x+f x^2+g x^3+h x^4+i x^5)}{4-5 x^2+x^4} \, dx\)
  3.1.73 \(\int \frac {2-3 x+x^2}{4-5 x^2+x^4} \, dx\)
  3.1.74 \(\int \frac {(d+e x) (2-3 x+x^2)}{4-5 x^2+x^4} \, dx\)
  3.1.75 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2)}{4-5 x^2+x^4} \, dx\)
  3.1.76 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2+g x^3)}{4-5 x^2+x^4} \, dx\)
  3.1.77 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2+g x^3+h x^4)}{4-5 x^2+x^4} \, dx\)
  3.1.78 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2+g x^3+h x^4+i x^5)}{4-5 x^2+x^4} \, dx\)
  3.1.79 \(\int \frac {2+x}{4-5 x^2+x^4} \, dx\)
  3.1.80 \(\int \frac {(2+x) (d+e x)}{4-5 x^2+x^4} \, dx\)
  3.1.81 \(\int \frac {(2+x) (d+e x+f x^2)}{4-5 x^2+x^4} \, dx\)
  3.1.82 \(\int \frac {(2+x) (d+e x+f x^2+g x^3)}{4-5 x^2+x^4} \, dx\)
  3.1.83 \(\int \frac {(2+x) (d+e x+f x^2+g x^3+h x^4)}{4-5 x^2+x^4} \, dx\)
  3.1.84 \(\int \frac {(2+x) (d+e x+f x^2+g x^3+h x^4+i x^5)}{4-5 x^2+x^4} \, dx\)
  3.1.85 \(\int \frac {2-x-2 x^2+x^3}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.86 \(\int \frac {(d+e x) (2-x-2 x^2+x^3)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.87 \(\int \frac {(d+e x+f x^2) (2-x-2 x^2+x^3)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.88 \(\int \frac {(2-x-2 x^2+x^3) (d+e x+f x^2+g x^3)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.89 \(\int \frac {(2-x-2 x^2+x^3) (d+e x+f x^2+g x^3+h x^4)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.90 \(\int \frac {(2-x-2 x^2+x^3) (d+e x+f x^2+g x^3+h x^4+i x^5)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.91 \(\int \frac {2-3 x+x^2}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.92 \(\int \frac {(d+e x) (2-3 x+x^2)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.93 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.94 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2+g x^3)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.95 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2+g x^3+h x^4)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.96 \(\int \frac {(2-3 x+x^2) (d+e x+f x^2+g x^3+h x^4+i x^5)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.97 \(\int \frac {2+x}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.98 \(\int \frac {(2+x) (d+e x)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.99 \(\int \frac {(2+x) (d+e x+f x^2)}{(4-5 x^2+x^4)^2} \, dx\)
  3.1.100 \(\int \frac {(2+x) (d+e x+f x^2+g x^3)}{(4-5 x^2+x^4)^2} \, dx\)