3.11 Integrals 1001 to 1100

\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {-a+b x^2+c x^4}} \, dx\) [1001]
\(\int \genfrac {}{}{}{}{1}{x^7 \sqrt {-a+b x^2+c x^4}} \, dx\) [1002]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+b x^2-c x^4}} \, dx\) [1003]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x^2-c x^4}} \, dx\) [1004]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^2-c x^4}} \, dx\) [1005]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x^2-c x^4}} \, dx\) [1006]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+b x^2-c x^4}} \, dx\) [1007]
\(\int \genfrac {}{}{}{}{x^9}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1008]
\(\int \genfrac {}{}{}{}{x^7}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1009]
\(\int \genfrac {}{}{}{}{x^5}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1010]
\(\int \genfrac {}{}{}{}{x^3}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1011]
\(\int \genfrac {}{}{}{}{x}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1012]
\(\int \genfrac {}{}{}{}{1}{x (a+b x^2+c x^4)^{3/2}} \, dx\) [1013]
\(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^2+c x^4)^{3/2}} \, dx\) [1014]
\(\int \genfrac {}{}{}{}{1}{x^5 (a+b x^2+c x^4)^{3/2}} \, dx\) [1015]
\(\int \genfrac {}{}{}{}{x^6}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1016]
\(\int \genfrac {}{}{}{}{x^4}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1017]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1018]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1019]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^2+c x^4)^{3/2}} \, dx\) [1020]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1021]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1022]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1023]
\(\int \genfrac {}{}{}{}{x}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1024]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1025]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1026]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1027]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1028]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {2+2 a-2 (1+a)+b x^2+c x^4}} \, dx\) [1029]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1030]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1031]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1032]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1033]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1034]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1035]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1036]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1037]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+(2+2 b-2 (1+b)) x^2+c x^4}} \, dx\) [1038]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1039]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1040]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1041]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1042]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1043]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1044]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1045]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1046]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+b x^2+(2+2 c-2 (1+c)) x^4}} \, dx\) [1047]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1048]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1049]
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1050]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1051]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1052]
\(\int \genfrac {}{}{}{}{x}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1053]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1054]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1055]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1056]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {2+2 a-2 (1+a)+c x^4}} \, dx\) [1057]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1058]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1059]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1060]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1061]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1062]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1063]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1064]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1065]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a+(2+2 c-2 (1+c)) x^4}} \, dx\) [1066]
\(\int (d x)^{3/2} \sqrt {a+b x^2+c x^4} \, dx\) [1067]
\(\int \sqrt {d x} \sqrt {a+b x^2+c x^4} \, dx\) [1068]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2+c x^4}}{\sqrt {d x}} \, dx\) [1069]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2+c x^4}}{(d x)^{3/2}} \, dx\) [1070]
\(\int (d x)^{3/2} (a+b x^2+c x^4)^{3/2} \, dx\) [1071]
\(\int \sqrt {d x} (a+b x^2+c x^4)^{3/2} \, dx\) [1072]
\(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^{3/2}}{\sqrt {d x}} \, dx\) [1073]
\(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^{3/2}}{(d x)^{3/2}} \, dx\) [1074]
\(\int \genfrac {}{}{}{}{(d x)^{3/2}}{\sqrt {a+b x^2+c x^4}} \, dx\) [1075]
\(\int \genfrac {}{}{}{}{\sqrt {d x}}{\sqrt {a+b x^2+c x^4}} \, dx\) [1076]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d x} \sqrt {a+b x^2+c x^4}} \, dx\) [1077]
\(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} \sqrt {a+b x^2+c x^4}} \, dx\) [1078]
\(\int \genfrac {}{}{}{}{(d x)^{3/2}}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1079]
\(\int \genfrac {}{}{}{}{\sqrt {d x}}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1080]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d x} (a+b x^2+c x^4)^{3/2}} \, dx\) [1081]
\(\int \genfrac {}{}{}{}{1}{(d x)^{3/2} (a+b x^2+c x^4)^{3/2}} \, dx\) [1082]
\(\int (d x)^m (a+b x^2+c x^4)^3 \, dx\) [1083]
\(\int (d x)^m (a+b x^2+c x^4)^2 \, dx\) [1084]
\(\int (d x)^m (a+b x^2+c x^4) \, dx\) [1085]
\(\int \genfrac {}{}{}{}{(d x)^m}{a+b x^2+c x^4} \, dx\) [1086]
\(\int \genfrac {}{}{}{}{(d x)^m}{(a+b x^2+c x^4)^2} \, dx\) [1087]
\(\int (d x)^m (a+b x^2+c x^4)^{3/2} \, dx\) [1088]
\(\int (d x)^m \sqrt {a+b x^2+c x^4} \, dx\) [1089]
\(\int \genfrac {}{}{}{}{(d x)^m}{\sqrt {a+b x^2+c x^4}} \, dx\) [1090]
\(\int \genfrac {}{}{}{}{(d x)^m}{(a+b x^2+c x^4)^{3/2}} \, dx\) [1091]
\(\int x^7 (a+b x^2+c x^4)^p \, dx\) [1092]
\(\int x^5 (a+b x^2+c x^4)^p \, dx\) [1093]
\(\int x^3 (a+b x^2+c x^4)^p \, dx\) [1094]
\(\int x (a+b x^2+c x^4)^p \, dx\) [1095]
\(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^p}{x} \, dx\) [1096]
\(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^p}{x^3} \, dx\) [1097]
\(\int \genfrac {}{}{}{}{(a+b x^2+c x^4)^p}{x^5} \, dx\) [1098]
\(\int x^4 (a+b x^2+c x^4)^p \, dx\) [1099]
\(\int x^2 (a+b x^2+c x^4)^p \, dx\) [1100]