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