3.7.1 \(\int \frac {(d x)^{3/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.7.2 \(\int \frac {\sqrt {d x}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.7.3 \(\int \frac {1}{\sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.7.4 \(\int \frac {1}{(d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.7.5 \(\int \frac {1}{(d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.7.6 \(\int \frac {1}{(d x)^{7/2} (a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
  3.7.7 \(\int (d x)^m (a^2+2 a b x^2+b^2 x^4)^3 \, dx\)
  3.7.8 \(\int (d x)^m (a^2+2 a b x^2+b^2 x^4)^2 \, dx\)
  3.7.9 \(\int (d x)^m (a^2+2 a b x^2+b^2 x^4) \, dx\)
  3.7.10 \(\int (d x)^m (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
  3.7.11 \(\int (d x)^m (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
  3.7.12 \(\int (d x)^m \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\)
  3.7.13 \(\int x^7 (a^2+2 a b x^2+b^2 x^4)^p \, dx\)
  3.7.14 \(\int x^5 (a^2+2 a b x^2+b^2 x^4)^p \, dx\)
  3.7.15 \(\int x^3 (a^2+2 a b x^2+b^2 x^4)^p \, dx\)
  3.7.16 \(\int x (a^2+2 a b x^2+b^2 x^4)^p \, dx\)
  3.7.17 \(\int x^2 (a+b x^2+c x^4) \, dx\)
  3.7.18 \(\int x (a+b x^2+c x^4) \, dx\)
  3.7.19 \(\int (a+b x^2+c x^4) \, dx\)
  3.7.20 \(\int \frac {a+b x^2+c x^4}{x} \, dx\)
  3.7.21 \(\int \frac {a+b x^2+c x^4}{x^2} \, dx\)
  3.7.22 \(\int \frac {a+b x^2+c x^4}{x^3} \, dx\)
  3.7.23 \(\int \frac {a+b x^2+c x^4}{x^4} \, dx\)
  3.7.24 \(\int \frac {a+b x^2+c x^4}{x^5} \, dx\)
  3.7.25 \(\int \frac {a+b x^2+c x^4}{x^6} \, dx\)
  3.7.26 \(\int \frac {a+b x^2+c x^4}{x^7} \, dx\)
  3.7.27 \(\int \frac {a+b x^2+c x^4}{x^8} \, dx\)
  3.7.28 \(\int x^2 (a+b x^2+c x^4)^2 \, dx\)
  3.7.29 \(\int x (a+b x^2+c x^4)^2 \, dx\)
  3.7.30 \(\int (a+b x^2+c x^4)^2 \, dx\)
  3.7.31 \(\int \frac {(a+b x^2+c x^4)^2}{x} \, dx\)
  3.7.32 \(\int \frac {(a+b x^2+c x^4)^2}{x^2} \, dx\)
  3.7.33 \(\int \frac {(a+b x^2+c x^4)^2}{x^3} \, dx\)
  3.7.34 \(\int \frac {(a+b x^2+c x^4)^2}{x^4} \, dx\)
  3.7.35 \(\int \frac {(a+b x^2+c x^4)^2}{x^5} \, dx\)
  3.7.36 \(\int \frac {(a+b x^2+c x^4)^2}{x^6} \, dx\)
  3.7.37 \(\int \frac {(a+b x^2+c x^4)^2}{x^7} \, dx\)
  3.7.38 \(\int \frac {(a+b x^2+c x^4)^2}{x^8} \, dx\)
  3.7.39 \(\int \frac {(a+b x^2+c x^4)^2}{x^9} \, dx\)
  3.7.40 \(\int \frac {(a+b x^2+c x^4)^2}{x^{10}} \, dx\)
  3.7.41 \(\int \frac {(a+b x^2+c x^4)^2}{x^{11}} \, dx\)
  3.7.42 \(\int \frac {(a+b x^2+c x^4)^2}{x^{12}} \, dx\)
  3.7.43 \(\int \frac {(a+b x^2+c x^4)^2}{x^{13}} \, dx\)
  3.7.44 \(\int x^2 (a+b x^2+c x^4)^3 \, dx\)
  3.7.45 \(\int x (a+b x^2+c x^4)^3 \, dx\)
  3.7.46 \(\int (a+b x^2+c x^4)^3 \, dx\)
  3.7.47 \(\int \frac {(a+b x^2+c x^4)^3}{x} \, dx\)
  3.7.48 \(\int \frac {(a+b x^2+c x^4)^3}{x^2} \, dx\)
  3.7.49 \(\int \frac {(a+b x^2+c x^4)^3}{x^3} \, dx\)
  3.7.50 \(\int \frac {(a+b x^2+c x^4)^3}{x^4} \, dx\)
  3.7.51 \(\int \frac {x^7}{a+b x^2+c x^4} \, dx\)
  3.7.52 \(\int \frac {x^5}{a+b x^2+c x^4} \, dx\)
  3.7.53 \(\int \frac {x^3}{a+b x^2+c x^4} \, dx\)
  3.7.54 \(\int \frac {x}{a+b x^2+c x^4} \, dx\)
  3.7.55 \(\int \frac {1}{x (a+b x^2+c x^4)} \, dx\)
  3.7.56 \(\int \frac {1}{x^3 (a+b x^2+c x^4)} \, dx\)
  3.7.57 \(\int \frac {1}{x^5 (a+b x^2+c x^4)} \, dx\)
  3.7.58 \(\int \frac {x^6}{a+b x^2+c x^4} \, dx\)
  3.7.59 \(\int \frac {x^4}{a+b x^2+c x^4} \, dx\)
  3.7.60 \(\int \frac {x^2}{a+b x^2+c x^4} \, dx\)
  3.7.61 \(\int \frac {1}{a+b x^2+c x^4} \, dx\)
  3.7.62 \(\int \frac {1}{x^2 (a+b x^2+c x^4)} \, dx\)
  3.7.63 \(\int \frac {1}{x^4 (a+b x^2+c x^4)} \, dx\)
  3.7.64 \(\int \frac {x^7}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.65 \(\int \frac {x^5}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.66 \(\int \frac {x^3}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.67 \(\int \frac {x}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.68 \(\int \frac {1}{x (a+b x^2+c x^4)^2} \, dx\)
  3.7.69 \(\int \frac {1}{x^3 (a+b x^2+c x^4)^2} \, dx\)
  3.7.70 \(\int \frac {x^8}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.71 \(\int \frac {x^6}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.72 \(\int \frac {x^4}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.73 \(\int \frac {x^2}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.74 \(\int \frac {1}{(a+b x^2+c x^4)^2} \, dx\)
  3.7.75 \(\int \frac {1}{x^2 (a+b x^2+c x^4)^2} \, dx\)
  3.7.76 \(\int \frac {x^{11}}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.77 \(\int \frac {x^9}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.78 \(\int \frac {x^7}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.79 \(\int \frac {x^5}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.80 \(\int \frac {x^3}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.81 \(\int \frac {x}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.82 \(\int \frac {1}{x (a+b x^2+c x^4)^3} \, dx\)
  3.7.83 \(\int \frac {1}{x^3 (a+b x^2+c x^4)^3} \, dx\)
  3.7.84 \(\int \frac {x^{10}}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.85 \(\int \frac {x^8}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.86 \(\int \frac {x^6}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.87 \(\int \frac {x^4}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.88 \(\int \frac {x^2}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.89 \(\int \frac {1}{(a+b x^2+c x^4)^3} \, dx\)
  3.7.90 \(\int \frac {1}{x^2 (a+b x^2+c x^4)^3} \, dx\)
  3.7.91 \(\int \frac {x^5}{a-b x^2+c x^4} \, dx\)
  3.7.92 \(\int \frac {x^3}{a-b x^2+c x^4} \, dx\)
  3.7.93 \(\int \frac {x}{a-b x^2+c x^4} \, dx\)
  3.7.94 \(\int \frac {1}{x (a-b x^2+c x^4)} \, dx\)
  3.7.95 \(\int \frac {1}{x^3 (a-b x^2+c x^4)} \, dx\)
  3.7.96 \(\int \frac {x^4}{a-b x^2+c x^4} \, dx\)
  3.7.97 \(\int \frac {x^2}{a-b x^2+c x^4} \, dx\)
  3.7.98 \(\int \frac {1}{a-b x^2+c x^4} \, dx\)
  3.7.99 \(\int \frac {1}{x^2 (a-b x^2+c x^4)} \, dx\)
  3.7.100 \(\int \frac {x^5}{a-b+2 a x^2+a x^4} \, dx\)