3.1.1 \(\int \frac {d+e x^3}{a+c x^6} \, dx\)
  3.1.2 \(\int \frac {d+e x^3}{a-c x^6} \, dx\)
  3.1.3 \(\int \frac {d+e x^4}{a+c x^8} \, dx\)
  3.1.4 \(\int \frac {d+e x^4}{a-c x^8} \, dx\)
  3.1.5 \(\int \frac {d+e x^4}{d^2+b x^4+e^2 x^8} \, dx\)
  3.1.6 \(\int \frac {d+e x^4}{d^2+f x^4+e^2 x^8} \, dx\)
  3.1.7 \(\int \frac {d+e x^4}{d^2-b x^4+e^2 x^8} \, dx\)
  3.1.8 \(\int \frac {d+e x^4}{d^2-f x^4+e^2 x^8} \, dx\)
  3.1.9 \(\int \frac {1+x^4}{1+b x^4+x^8} \, dx\)
  3.1.10 \(\int \frac {1+x^4}{1+3 x^4+x^8} \, dx\)
  3.1.11 \(\int \frac {1+x^4}{1+2 x^4+x^8} \, dx\)
  3.1.12 \(\int \frac {1+x^4}{1+x^4+x^8} \, dx\)
  3.1.13 \(\int \frac {1+x^4}{1+x^8} \, dx\)
  3.1.14 \(\int \frac {1+x^4}{1-x^4+x^8} \, dx\)
  3.1.15 \(\int \frac {1+x^4}{1-2 x^4+x^8} \, dx\)
  3.1.16 \(\int \frac {1+x^4}{1-3 x^4+x^8} \, dx\)
  3.1.17 \(\int \frac {1+x^4}{1-4 x^4+x^8} \, dx\)
  3.1.18 \(\int \frac {1+x^4}{1-5 x^4+x^8} \, dx\)
  3.1.19 \(\int \frac {1+x^4}{1-6 x^4+x^8} \, dx\)
  3.1.20 \(\int \frac {1-x^4}{1+b x^4+x^8} \, dx\)
  3.1.21 \(\int \frac {1-x^4}{1+3 x^4+x^8} \, dx\)
  3.1.22 \(\int \frac {1-x^4}{1+2 x^4+x^8} \, dx\)
  3.1.23 \(\int \frac {1-x^4}{1+x^4+x^8} \, dx\)
  3.1.24 \(\int \frac {1-x^4}{1+x^8} \, dx\)
  3.1.25 \(\int \frac {1-x^4}{1-x^4+x^8} \, dx\)
  3.1.26 \(\int \frac {1-x^4}{1-2 x^4+x^8} \, dx\)
  3.1.27 \(\int \frac {1-x^4}{1-3 x^4+x^8} \, dx\)
  3.1.28 \(\int \frac {1-x^4}{1-4 x^4+x^8} \, dx\)
  3.1.29 \(\int \frac {1-x^4}{1-5 x^4+x^8} \, dx\)
  3.1.30 \(\int \frac {1-x^4}{1-6 x^4+x^8} \, dx\)
  3.1.31 \(\int \frac {-1+\sqrt {3}+2 x^4}{1-x^4+x^8} \, dx\)
  3.1.32 \(\int \frac {1+(1+\sqrt {3}) x^4}{1-x^4+x^8} \, dx\)
  3.1.33 \(\int \frac {3-2 \sqrt {3}+(-3+\sqrt {3}) x^4}{1-x^4+x^8} \, dx\)
  3.1.34 \(\int \frac {d+\frac {e}{x}}{c+\frac {a}{x^2}} \, dx\)
  3.1.35 \(\int \frac {d+\frac {e}{x}}{c+\frac {a}{x^2}+\frac {b}{x}} \, dx\)
  3.1.36 \(\int \frac {d+\frac {e}{x^2}}{c+\frac {a}{x^4}} \, dx\)
  3.1.37 \(\int \frac {d+\frac {e}{x^2}}{c+\frac {a}{x^4}+\frac {b}{x^2}} \, dx\)
  3.1.38 \(\int \frac {d+\frac {e}{x^3}}{c+\frac {a}{x^6}} \, dx\)
  3.1.39 \(\int \frac {d+\frac {e}{x^3}}{c+\frac {a}{x^6}+\frac {b}{x^3}} \, dx\)
  3.1.40 \(\int \frac {d+\frac {e}{x^4}}{c+\frac {a}{x^8}} \, dx\)
  3.1.41 \(\int \frac {d+\frac {e}{x^4}}{c+\frac {a}{x^8}+\frac {b}{x^4}} \, dx\)
  3.1.42 \(\int (d+e x^n) (a+b x^n+c x^{2 n}) \, dx\)
  3.1.43 \(\int (d+e x^n) (a+b x^n+c x^{2 n})^2 \, dx\)
  3.1.44 \(\int (d+e x^n) (a+b x^n+c x^{2 n})^3 \, dx\)