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