3.3.1 \(\int \genfrac {}{}{}{}{2+3 x^2}{(3+5 x^2+x^4)^{3/2}} \, dx\) [201]
  3.3.2 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^2 (3+5 x^2+x^4)^{3/2}} \, dx\) [202]
  3.3.3 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^4 (3+5 x^2+x^4)^{3/2}} \, dx\) [203]
  3.3.4 \(\int (f x)^{3/2} (d+e x^2) \sqrt {a+b x^2+c x^4} \, dx\) [204]
  3.3.5 \(\int \sqrt {f x} (d+e x^2) \sqrt {a+b x^2+c x^4} \, dx\) [205]
  3.3.6 \(\int \genfrac {}{}{}{}{(d+e x^2) \sqrt {a+b x^2+c x^4}}{\sqrt {f x}} \, dx\) [206]
  3.3.7 \(\int \genfrac {}{}{}{}{(d+e x^2) \sqrt {a+b x^2+c x^4}}{(f x)^{3/2}} \, dx\) [207]
  3.3.8 \(\int (f x)^{3/2} (d+e x^2) (a+b x^2+c x^4)^{3/2} \, dx\) [208]
  3.3.9 \(\int \sqrt {f x} (d+e x^2) (a+b x^2+c x^4)^{3/2} \, dx\) [209]
  3.3.10 \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b x^2+c x^4)^{3/2}}{\sqrt {f x}} \, dx\) [210]
  3.3.11 \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b x^2+c x^4)^{3/2}}{(f x)^{3/2}} \, dx\) [211]
  3.3.12 \(\int \genfrac {}{}{}{}{(f x)^{3/2} (d+e x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [212]
  3.3.13 \(\int \genfrac {}{}{}{}{\sqrt {f x} (d+e x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [213]
  3.3.14 \(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {f x} \sqrt {a+b x^2+c x^4}} \, dx\) [214]
  3.3.15 \(\int \genfrac {}{}{}{}{d+e x^2}{(f x)^{3/2} \sqrt {a+b x^2+c x^4}} \, dx\) [215]
  3.3.16 \(\int \genfrac {}{}{}{}{(f x)^{3/2} (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\) [216]
  3.3.17 \(\int \genfrac {}{}{}{}{\sqrt {f x} (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\) [217]
  3.3.18 \(\int \genfrac {}{}{}{}{d+e x^2}{\sqrt {f x} (a+b x^2+c x^4)^{3/2}} \, dx\) [218]
  3.3.19 \(\int \genfrac {}{}{}{}{d+e x^2}{(f x)^{3/2} (a+b x^2+c x^4)^{3/2}} \, dx\) [219]
  3.3.20 \(\int (f x)^m (d+e x^2) (a+b x^2+c x^4)^3 \, dx\) [220]
  3.3.21 \(\int (f x)^m (d+e x^2) (a+b x^2+c x^4)^2 \, dx\) [221]
  3.3.22 \(\int (f x)^m (d+e x^2) (a+b x^2+c x^4) \, dx\) [222]
  3.3.23 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^2)}{a+b x^2+c x^4} \, dx\) [223]
  3.3.24 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^2)}{(a+b x^2+c x^4)^2} \, dx\) [224]
  3.3.25 \(\int (f x)^m (d+e x^2) (a+b x^2+c x^4)^{3/2} \, dx\) [225]
  3.3.26 \(\int (f x)^m (d+e x^2) \sqrt {a+b x^2+c x^4} \, dx\) [226]
  3.3.27 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [227]
  3.3.28 \(\int \genfrac {}{}{}{}{(f x)^m (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\) [228]
  3.3.29 \(\int \genfrac {}{}{}{}{x^9}{(d+e x^2) (a+c x^4)} \, dx\) [229]
  3.3.30 \(\int \genfrac {}{}{}{}{x^7}{(d+e x^2) (a+c x^4)} \, dx\) [230]
  3.3.31 \(\int \genfrac {}{}{}{}{x^5}{(d+e x^2) (a+c x^4)} \, dx\) [231]
  3.3.32 \(\int \genfrac {}{}{}{}{x^3}{(d+e x^2) (a+c x^4)} \, dx\) [232]
  3.3.33 \(\int \genfrac {}{}{}{}{x}{(d+e x^2) (a+c x^4)} \, dx\) [233]
  3.3.34 \(\int \genfrac {}{}{}{}{1}{x (d+e x^2) (a+c x^4)} \, dx\) [234]
  3.3.35 \(\int \genfrac {}{}{}{}{1}{x^3 (d+e x^2) (a+c x^4)} \, dx\) [235]
  3.3.36 \(\int \genfrac {}{}{}{}{1}{x^5 (d+e x^2) (a+c x^4)} \, dx\) [236]
  3.3.37 \(\int \genfrac {}{}{}{}{x^8}{(d+e x^2) (a+c x^4)} \, dx\) [237]
  3.3.38 \(\int \genfrac {}{}{}{}{x^6}{(d+e x^2) (a+c x^4)} \, dx\) [238]
  3.3.39 \(\int \genfrac {}{}{}{}{x^4}{(d+e x^2) (a+c x^4)} \, dx\) [239]
  3.3.40 \(\int \genfrac {}{}{}{}{x^2}{(d+e x^2) (a+c x^4)} \, dx\) [240]
  3.3.41 \(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+c x^4)} \, dx\) [241]
  3.3.42 \(\int \genfrac {}{}{}{}{1}{x^2 (d+e x^2) (a+c x^4)} \, dx\) [242]
  3.3.43 \(\int \genfrac {}{}{}{}{1}{x^4 (d+e x^2) (a+c x^4)} \, dx\) [243]
  3.3.44 \(\int \genfrac {}{}{}{}{x^9}{(d+e x^2) (a+c x^4)^2} \, dx\) [244]
  3.3.45 \(\int \genfrac {}{}{}{}{x^7}{(d+e x^2) (a+c x^4)^2} \, dx\) [245]
  3.3.46 \(\int \genfrac {}{}{}{}{x^5}{(d+e x^2) (a+c x^4)^2} \, dx\) [246]
  3.3.47 \(\int \genfrac {}{}{}{}{x^3}{(d+e x^2) (a+c x^4)^2} \, dx\) [247]
  3.3.48 \(\int \genfrac {}{}{}{}{x}{(d+e x^2) (a+c x^4)^2} \, dx\) [248]
  3.3.49 \(\int \genfrac {}{}{}{}{1}{x (d+e x^2) (a+c x^4)^2} \, dx\) [249]
  3.3.50 \(\int \genfrac {}{}{}{}{1}{x^3 (d+e x^2) (a+c x^4)^2} \, dx\) [250]
  3.3.51 \(\int \genfrac {}{}{}{}{1}{x^5 (d+e x^2) (a+c x^4)^2} \, dx\) [251]
  3.3.52 \(\int \genfrac {}{}{}{}{x^8}{(d+e x^2) (a+c x^4)^2} \, dx\) [252]
  3.3.53 \(\int \genfrac {}{}{}{}{x^6}{(d+e x^2) (a+c x^4)^2} \, dx\) [253]
  3.3.54 \(\int \genfrac {}{}{}{}{x^4}{(d+e x^2) (a+c x^4)^2} \, dx\) [254]
  3.3.55 \(\int \genfrac {}{}{}{}{x^2}{(d+e x^2) (a+c x^4)^2} \, dx\) [255]
  3.3.56 \(\int \genfrac {}{}{}{}{1}{(d+e x^2) (a+c x^4)^2} \, dx\) [256]
  3.3.57 \(\int \genfrac {}{}{}{}{1}{x^2 (d+e x^2) (a+c x^4)^2} \, dx\) [257]
  3.3.58 \(\int \genfrac {}{}{}{}{1}{x^4 (d+e x^2) (a+c x^4)^2} \, dx\) [258]
  3.3.59 \(\int \genfrac {}{}{}{}{x^2}{(1+x^2) \sqrt {1+x^4}} \, dx\) [259]
  3.3.60 \(\int \genfrac {}{}{}{}{x^2}{(1-x^2) \sqrt {1+x^4}} \, dx\) [260]
  3.3.61 \(\int \genfrac {}{}{}{}{x^2}{(1+x^2) \sqrt {1-x^4}} \, dx\) [261]
  3.3.62 \(\int \genfrac {}{}{}{}{x^2}{(1-x^2) \sqrt {1-x^4}} \, dx\) [262]
  3.3.63 \(\int \genfrac {}{}{}{}{x^2}{(1+x^2) \sqrt {-1+x^4}} \, dx\) [263]
  3.3.64 \(\int \genfrac {}{}{}{}{x^2}{(1-x^2) \sqrt {-1+x^4}} \, dx\) [264]
  3.3.65 \(\int \genfrac {}{}{}{}{x^2}{(1+x^2) \sqrt {-1-x^4}} \, dx\) [265]
  3.3.66 \(\int \genfrac {}{}{}{}{x^2}{(1-x^2) \sqrt {-1-x^4}} \, dx\) [266]
  3.3.67 \(\int x^2 \sqrt {c+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [267]
  3.3.68 \(\int x \sqrt {c+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [268]
  3.3.69 \(\int \sqrt {c+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [269]
  3.3.70 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x} \, dx\) [270]
  3.3.71 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^2} \, dx\) [271]
  3.3.72 \(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^3} \, dx\) [272]
  3.3.73 \(\int x^3 (d+e x^2)^2 (a+b x^2+c x^4) \, dx\) [273]
  3.3.74 \(\int x^2 (d+e x^2)^2 (a+b x^2+c x^4) \, dx\) [274]
  3.3.75 \(\int x (d+e x^2)^2 (a+b x^2+c x^4) \, dx\) [275]
  3.3.76 \(\int (d+e x^2)^2 (a+b x^2+c x^4) \, dx\) [276]
  3.3.77 \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b x^2+c x^4)}{x} \, dx\) [277]
  3.3.78 \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b x^2+c x^4)}{x^2} \, dx\) [278]
  3.3.79 \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b x^2+c x^4)}{x^3} \, dx\) [279]
  3.3.80 \(\int \genfrac {}{}{}{}{x^6 (a+b x^2+c x^4)}{(d+e x^2)^2} \, dx\) [280]
  3.3.81 \(\int \genfrac {}{}{}{}{x^4 (a+b x^2+c x^4)}{(d+e x^2)^2} \, dx\) [281]
  3.3.82 \(\int \genfrac {}{}{}{}{x^2 (a+b x^2+c x^4)}{(d+e x^2)^2} \, dx\) [282]
  3.3.83 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{(d+e x^2)^2} \, dx\) [283]
  3.3.84 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^2 (d+e x^2)^2} \, dx\) [284]
  3.3.85 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^4 (d+e x^2)^2} \, dx\) [285]
  3.3.86 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^6 (d+e x^2)^2} \, dx\) [286]
  3.3.87 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^8 (d+e x^2)^2} \, dx\) [287]
  3.3.88 \(\int \genfrac {}{}{}{}{x^6 (a+b x^2+c x^4)}{(d+e x^2)^3} \, dx\) [288]
  3.3.89 \(\int \genfrac {}{}{}{}{x^4 (a+b x^2+c x^4)}{(d+e x^2)^3} \, dx\) [289]
  3.3.90 \(\int \genfrac {}{}{}{}{x^2 (a+b x^2+c x^4)}{(d+e x^2)^3} \, dx\) [290]
  3.3.91 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{(d+e x^2)^3} \, dx\) [291]
  3.3.92 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^2 (d+e x^2)^3} \, dx\) [292]
  3.3.93 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^4 (d+e x^2)^3} \, dx\) [293]
  3.3.94 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^6 (d+e x^2)^3} \, dx\) [294]
  3.3.95 \(\int \genfrac {}{}{}{}{x^9}{(d+e x^2) (a+b x^2+c x^4)} \, dx\) [295]
  3.3.96 \(\int \genfrac {}{}{}{}{x^7}{(d+e x^2) (a+b x^2+c x^4)} \, dx\) [296]
  3.3.97 \(\int \genfrac {}{}{}{}{x^5}{(d+e x^2) (a+b x^2+c x^4)} \, dx\) [297]
  3.3.98 \(\int \genfrac {}{}{}{}{x^3}{(d+e x^2) (a+b x^2+c x^4)} \, dx\) [298]
  3.3.99 \(\int \genfrac {}{}{}{}{x}{(d+e x^2) (a+b x^2+c x^4)} \, dx\) [299]
  3.3.100 \(\int \genfrac {}{}{}{}{1}{x (d+e x^2) (a+b x^2+c x^4)} \, dx\) [300]