3.8.1 \(\int \frac {x^3}{a-b+2 a x^2+a x^4} \, dx\)
  3.8.2 \(\int \frac {x}{a-b+2 a x^2+a x^4} \, dx\)
  3.8.3 \(\int \frac {1}{x (a-b+2 a x^2+a x^4)} \, dx\)
  3.8.4 \(\int \frac {1}{x^3 (a-b+2 a x^2+a x^4)} \, dx\)
  3.8.5 \(\int \frac {x^4}{a-b+2 a x^2+a x^4} \, dx\)
  3.8.6 \(\int \frac {x^2}{a-b+2 a x^2+a x^4} \, dx\)
  3.8.7 \(\int \frac {1}{a-b+2 a x^2+a x^4} \, dx\)
  3.8.8 \(\int \frac {1}{x^2 (a-b+2 a x^2+a x^4)} \, dx\)
  3.8.9 \(\int \frac {x^5}{a+b+2 a x^2+a x^4} \, dx\)
  3.8.10 \(\int \frac {x^3}{a+b+2 a x^2+a x^4} \, dx\)
  3.8.11 \(\int \frac {x}{a+b+2 a x^2+a x^4} \, dx\)
  3.8.12 \(\int \frac {1}{x (a+b+2 a x^2+a x^4)} \, dx\)
  3.8.13 \(\int \frac {1}{x^3 (a+b+2 a x^2+a x^4)} \, dx\)
  3.8.14 \(\int \frac {x^4}{a+b+2 a x^2+a x^4} \, dx\)
  3.8.15 \(\int \frac {x^2}{a+b+2 a x^2+a x^4} \, dx\)
  3.8.16 \(\int \frac {1}{a+b+2 a x^2+a x^4} \, dx\)
  3.8.17 \(\int \frac {1}{x^2 (a+b+2 a x^2+a x^4)} \, dx\)
  3.8.18 \(\int \frac {x}{1+x^2+x^4} \, dx\)
  3.8.19 \(\int \frac {x}{10+2 x^2+x^4} \, dx\)
  3.8.20 \(\int \frac {x^2}{20+9 x^2+x^4} \, dx\)
  3.8.21 \(\int \frac {x^2}{1-x^2+x^4} \, dx\)
  3.8.22 \(\int \frac {x^2}{2-2 x^2+x^4} \, dx\)
  3.8.23 \(\int x^7 \sqrt {a+b x^2+c x^4} \, dx\)
  3.8.24 \(\int x^5 \sqrt {a+b x^2+c x^4} \, dx\)
  3.8.25 \(\int x^3 \sqrt {a+b x^2+c x^4} \, dx\)
  3.8.26 \(\int x \sqrt {a+b x^2+c x^4} \, dx\)
  3.8.27 \(\int \frac {\sqrt {a+b x^2+c x^4}}{x} \, dx\)
  3.8.28 \(\int \frac {\sqrt {a+b x^2+c x^4}}{x^3} \, dx\)
  3.8.29 \(\int \frac {\sqrt {a+b x^2+c x^4}}{x^5} \, dx\)
  3.8.30 \(\int \frac {\sqrt {a+b x^2+c x^4}}{x^7} \, dx\)
  3.8.31 \(\int \frac {\sqrt {a+b x^2+c x^4}}{x^9} \, dx\)
  3.8.32 \(\int \frac {\sqrt {a+b x^2+c x^4}}{x^{11}} \, dx\)
  3.8.33 \(\int x^7 (a+b x^2+c x^4)^{3/2} \, dx\)
  3.8.34 \(\int x^5 (a+b x^2+c x^4)^{3/2} \, dx\)
  3.8.35 \(\int x^3 (a+b x^2+c x^4)^{3/2} \, dx\)
  3.8.36 \(\int x (a+b x^2+c x^4)^{3/2} \, dx\)
  3.8.37 \(\int \frac {(a+b x^2+c x^4)^{3/2}}{x} \, dx\)
  3.8.38 \(\int \frac {(a+b x^2+c x^4)^{3/2}}{x^3} \, dx\)
  3.8.39 \(\int \frac {(a+b x^2+c x^4)^{3/2}}{x^5} \, dx\)
  3.8.40 \(\int \frac {(a+b x^2+c x^4)^{3/2}}{x^7} \, dx\)
  3.8.41 \(\int \frac {(a+b x^2+c x^4)^{3/2}}{x^9} \, dx\)
  3.8.42 \(\int \frac {(a+b x^2+c x^4)^{3/2}}{x^{11}} \, dx\)
  3.8.43 \(\int \frac {(a+b x^2+c x^4)^{3/2}}{x^{13}} \, dx\)
  3.8.44 \(\int \frac {x^7}{\sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.45 \(\int \frac {x^5}{\sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.46 \(\int \frac {x^3}{\sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.47 \(\int \frac {x}{\sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.48 \(\int \frac {1}{x \sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.49 \(\int \frac {1}{x^3 \sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.50 \(\int \frac {1}{x^5 \sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.51 \(\int \frac {1}{x^7 \sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.52 \(\int \frac {x^7}{\sqrt {a+b x^2-c x^4}} \, dx\)
  3.8.53 \(\int \frac {x^5}{\sqrt {a+b x^2-c x^4}} \, dx\)
  3.8.54 \(\int \frac {x^3}{\sqrt {a+b x^2-c x^4}} \, dx\)
  3.8.55 \(\int \frac {x}{\sqrt {a+b x^2-c x^4}} \, dx\)
  3.8.56 \(\int \frac {1}{x \sqrt {-a+b x^2+c x^4}} \, dx\)
  3.8.57 \(\int \frac {1}{x^3 \sqrt {-a+b x^2+c x^4}} \, dx\)
  3.8.58 \(\int \frac {1}{x^5 \sqrt {-a+b x^2+c x^4}} \, dx\)
  3.8.59 \(\int \frac {1}{x^7 \sqrt {-a+b x^2+c x^4}} \, dx\)
  3.8.60 \(\int \frac {x^9}{(a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.61 \(\int \frac {x^7}{(a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.62 \(\int \frac {x^5}{(a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.63 \(\int \frac {x^3}{(a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.64 \(\int \frac {x}{(a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.65 \(\int \frac {1}{x (a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.66 \(\int \frac {1}{x^3 (a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.67 \(\int \frac {1}{x^5 (a+b x^2+c x^4)^{3/2}} \, dx\)
  3.8.68 \(\int \frac {x^4}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.69 \(\int \frac {x^3}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.70 \(\int \frac {x^2}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.71 \(\int \frac {x}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.72 \(\int \frac {1}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.73 \(\int \frac {1}{x \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.74 \(\int \frac {1}{x^2 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.75 \(\int \frac {1}{x^3 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.76 \(\int \frac {1}{x^4 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\)
  3.8.77 \(\int \frac {x^3}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\)
  3.8.78 \(\int \frac {x}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\)
  3.8.79 \(\int \frac {1}{x \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\)
  3.8.80 \(\int \frac {1}{x^3 \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\)
  3.8.81 \(\int \frac {x^4}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.82 \(\int \frac {x^3}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.83 \(\int \frac {x^2}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.84 \(\int \frac {x}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.85 \(\int \frac {1}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.86 \(\int \frac {1}{x \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.87 \(\int \frac {1}{x^2 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.88 \(\int \frac {1}{x^3 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.89 \(\int \frac {1}{x^4 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.90 \(\int \frac {x^4}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.91 \(\int \frac {x^3}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.92 \(\int \frac {x^2}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.93 \(\int \frac {x}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.94 \(\int \frac {1}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.95 \(\int \frac {1}{x \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.96 \(\int \frac {1}{x^2 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.97 \(\int \frac {1}{x^3 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.98 \(\int \frac {1}{x^4 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\)
  3.8.99 \(\int \frac {x^4}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\)
  3.8.100 \(\int \frac {x^3}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\)