3.11.1 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1001]
  3.11.2 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1002]
  3.11.3 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1003]
  3.11.4 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1004]
  3.11.5 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1005]
  3.11.6 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1006]
  3.11.7 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1007]
  3.11.8 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1008]
  3.11.9 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1009]
  3.11.10 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1010]
  3.11.11 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1011]
  3.11.12 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1012]
  3.11.13 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1013]
  3.11.14 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1014]
  3.11.15 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1015]
  3.11.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1016]
  3.11.17 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1017]
  3.11.18 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1018]
  3.11.19 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1019]
  3.11.20 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1020]
  3.11.21 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1021]
  3.11.22 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1022]
  3.11.23 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1023]
  3.11.24 \(\int \genfrac {}{}{}{}{x}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1024]
  3.11.25 \(\int \genfrac {}{}{}{}{1}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1025]
  3.11.26 \(\int \genfrac {}{}{}{}{1}{x \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1026]
  3.11.27 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1027]
  3.11.28 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1028]
  3.11.29 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1029]
  3.11.30 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1030]
  3.11.31 \(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1031]
  3.11.32 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1032]
  3.11.33 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1033]
  3.11.34 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1034]
  3.11.35 \(\int \genfrac {}{}{}{}{1}{x \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1035]
  3.11.36 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1036]
  3.11.37 \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1037]
  3.11.38 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1038]
  3.11.39 \(\int \genfrac {}{}{}{}{1}{\sqrt {3-2 x^2-x^4}} \, dx\) [1039]
  3.11.40 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+5 x^2-x^4}} \, dx\) [1040]
  3.11.41 \(\int x^{5/2} (a+b x^2+c x^4) \, dx\) [1041]
  3.11.42 \(\int x^{3/2} (a+b x^2+c x^4) \, dx\) [1042]
  3.11.43 \(\int \sqrt {x} (a+b x^2+c x^4) \, dx\) [1043]
  3.11.44 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{\sqrt {x}} \, dx\) [1044]
  3.11.45 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^{3/2}} \, dx\) [1045]
  3.11.46 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^{5/2}} \, dx\) [1046]
  3.11.47 \(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^{7/2}} \, dx\) [1047]
  3.11.48 \(\int x^{5/2} (a+b x^2+c x^4)^2 \, dx\) [1048]
  3.11.49 \(\int x^{3/2} (a+b x^2+c x^4)^2 \, dx\) [1049]
  3.11.50 \(\int \sqrt {x} (a+b x^2+c x^4)^2 \, dx\) [1050]
  3.11.51 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^2}{\sqrt {x}} \, dx\) [1051]
  3.11.52 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^2}{x^{3/2}} \, dx\) [1052]
  3.11.53 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^2}{x^{5/2}} \, dx\) [1053]
  3.11.54 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^2}{x^{7/2}} \, dx\) [1054]
  3.11.55 \(\int x^{5/2} (a+b x^2+c x^4)^3 \, dx\) [1055]
  3.11.56 \(\int x^{3/2} (a+b x^2+c x^4)^3 \, dx\) [1056]
  3.11.57 \(\int \sqrt {x} (a+b x^2+c x^4)^3 \, dx\) [1057]
  3.11.58 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^3}{\sqrt {x}} \, dx\) [1058]
  3.11.59 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^3}{x^{3/2}} \, dx\) [1059]
  3.11.60 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^3}{x^{5/2}} \, dx\) [1060]
  3.11.61 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^3}{x^{7/2}} \, dx\) [1061]
  3.11.62 \(\int \genfrac {}{}{}{}{x^{9/2}}{a+b x^2+c x^4} \, dx\) [1062]
  3.11.63 \(\int \genfrac {}{}{}{}{x^{7/2}}{a+b x^2+c x^4} \, dx\) [1063]
  3.11.64 \(\int \genfrac {}{}{}{}{x^{5/2}}{a+b x^2+c x^4} \, dx\) [1064]
  3.11.65 \(\int \genfrac {}{}{}{}{x^{3/2}}{a+b x^2+c x^4} \, dx\) [1065]
  3.11.66 \(\int \genfrac {}{}{}{}{\sqrt {x}}{a+b x^2+c x^4} \, dx\) [1066]
  3.11.67 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x^2+c x^4)} \, dx\) [1067]
  3.11.68 \(\int \genfrac {}{}{}{}{1}{x^{3/2} (a+b x^2+c x^4)} \, dx\) [1068]
  3.11.69 \(\int \genfrac {}{}{}{}{1}{x^{5/2} (a+b x^2+c x^4)} \, dx\) [1069]
  3.11.70 \(\int \genfrac {}{}{}{}{1}{x^{7/2} (a+b x^2+c x^4)} \, dx\) [1070]
  3.11.71 \(\int \genfrac {}{}{}{}{x^{13/2}}{(a+b x^2+c x^4)^2} \, dx\) [1071]
  3.11.72 \(\int \genfrac {}{}{}{}{x^{11/2}}{(a+b x^2+c x^4)^2} \, dx\) [1072]
  3.11.73 \(\int \genfrac {}{}{}{}{x^{9/2}}{(a+b x^2+c x^4)^2} \, dx\) [1073]
  3.11.74 \(\int \genfrac {}{}{}{}{x^{7/2}}{(a+b x^2+c x^4)^2} \, dx\) [1074]
  3.11.75 \(\int \genfrac {}{}{}{}{x^{5/2}}{(a+b x^2+c x^4)^2} \, dx\) [1075]
  3.11.76 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+b x^2+c x^4)^2} \, dx\) [1076]
  3.11.77 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+b x^2+c x^4)^2} \, dx\) [1077]
  3.11.78 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x^2+c x^4)^2} \, dx\) [1078]
  3.11.79 \(\int \genfrac {}{}{}{}{1}{x^{3/2} (a+b x^2+c x^4)^2} \, dx\) [1079]
  3.11.80 \(\int \genfrac {}{}{}{}{x^{15/2}}{(a+b x^2+c x^4)^3} \, dx\) [1080]
  3.11.81 \(\int \genfrac {}{}{}{}{x^{13/2}}{(a+b x^2+c x^4)^3} \, dx\) [1081]
  3.11.82 \(\int \genfrac {}{}{}{}{x^{11/2}}{(a+b x^2+c x^4)^3} \, dx\) [1082]
  3.11.83 \(\int \genfrac {}{}{}{}{x^{9/2}}{(a+b x^2+c x^4)^3} \, dx\) [1083]
  3.11.84 \(\int \genfrac {}{}{}{}{x^{7/2}}{(a+b x^2+c x^4)^3} \, dx\) [1084]
  3.11.85 \(\int \genfrac {}{}{}{}{x^{5/2}}{(a+b x^2+c x^4)^3} \, dx\) [1085]
  3.11.86 \(\int \genfrac {}{}{}{}{x^{3/2}}{(a+b x^2+c x^4)^3} \, dx\) [1086]
  3.11.87 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(a+b x^2+c x^4)^3} \, dx\) [1087]
  3.11.88 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (a+b x^2+c x^4)^3} \, dx\) [1088]
  3.11.89 \(\int (d x)^{3/2} \sqrt {a+b x^2+c x^4} \, dx\) [1089]
  3.11.90 \(\int \sqrt {d x} \sqrt {a+b x^2+c x^4} \, dx\) [1090]
  3.11.91 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2+c x^4}}{\sqrt {d x}} \, dx\) [1091]
  3.11.92 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2+c x^4}}{(d x)^{3/2}} \, dx\) [1092]
  3.11.93 \(\int (d x)^{3/2} (a+b x^2+c x^4)^{3/2} \, dx\) [1093]
  3.11.94 \(\int \sqrt {d x} (a+b x^2+c x^4)^{3/2} \, dx\) [1094]
  3.11.95 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^{3/2}}{\sqrt {d x}} \, dx\) [1095]
  3.11.96 \(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^{3/2}}{(d x)^{3/2}} \, dx\) [1096]
  3.11.97 \(\int \genfrac {}{}{}{}{(d x)^{3/2}}{\sqrt {a+b x^2+c x^4}} \, dx\) [1097]
  3.11.98 \(\int \genfrac {}{}{}{}{\sqrt {d x}}{\sqrt {a+b x^2+c x^4}} \, dx\) [1098]
  3.11.99 \(\int \genfrac {}{}{}{}{1}{\sqrt {d x} \sqrt {a+b x^2+c x^4}} \, dx\) [1099]
  3.11.100 \(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} \sqrt {a+b x^2+c x^4}} \, dx\) [1100]