3.11 Integrals 1001 to 1100

\(\int \sqrt {a+i a \tan (e+f x)} (c-i c \tan (e+f x))^{3/2} \, dx\) [1001]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{3/2}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1002]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1003]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1004]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{7/2}} \, dx\) [1005]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{9/2}} \, dx\) [1006]
\(\int (a+i a \tan (e+f x))^{5/2} (c-i c \tan (e+f x))^{5/2} \, dx\) [1007]
\(\int (a+i a \tan (e+f x))^{3/2} (c-i c \tan (e+f x))^{5/2} \, dx\) [1008]
\(\int \sqrt {a+i a \tan (e+f x)} (c-i c \tan (e+f x))^{5/2} \, dx\) [1009]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{5/2}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1010]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1011]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1012]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{7/2}} \, dx\) [1013]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{9/2}} \, dx\) [1014]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{11/2}} \, dx\) [1015]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{7/2}}{\sqrt {c-i c \tan (e+f x)}} \, dx\) [1016]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{\sqrt {c-i c \tan (e+f x)}} \, dx\) [1017]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{\sqrt {c-i c \tan (e+f x)}} \, dx\) [1018]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{\sqrt {c-i c \tan (e+f x)}} \, dx\) [1019]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} \sqrt {c-i c \tan (e+f x)}} \, dx\) [1020]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} \sqrt {c-i c \tan (e+f x)}} \, dx\) [1021]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} \sqrt {c-i c \tan (e+f x)}} \, dx\) [1022]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{7/2} \sqrt {c-i c \tan (e+f x)}} \, dx\) [1023]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{9/2}}{(c-i c \tan (e+f x))^{3/2}} \, dx\) [1024]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{7/2}}{(c-i c \tan (e+f x))^{3/2}} \, dx\) [1025]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{(c-i c \tan (e+f x))^{3/2}} \, dx\) [1026]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{(c-i c \tan (e+f x))^{3/2}} \, dx\) [1027]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{(c-i c \tan (e+f x))^{3/2}} \, dx\) [1028]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} (c-i c \tan (e+f x))^{3/2}} \, dx\) [1029]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} (c-i c \tan (e+f x))^{3/2}} \, dx\) [1030]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} (c-i c \tan (e+f x))^{3/2}} \, dx\) [1031]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{7/2} (c-i c \tan (e+f x))^{3/2}} \, dx\) [1032]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{11/2}}{(c-i c \tan (e+f x))^{5/2}} \, dx\) [1033]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{9/2}}{(c-i c \tan (e+f x))^{5/2}} \, dx\) [1034]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{7/2}}{(c-i c \tan (e+f x))^{5/2}} \, dx\) [1035]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{(c-i c \tan (e+f x))^{5/2}} \, dx\) [1036]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{(c-i c \tan (e+f x))^{5/2}} \, dx\) [1037]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{(c-i c \tan (e+f x))^{5/2}} \, dx\) [1038]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} (c-i c \tan (e+f x))^{5/2}} \, dx\) [1039]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} (c-i c \tan (e+f x))^{5/2}} \, dx\) [1040]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} (c-i c \tan (e+f x))^{5/2}} \, dx\) [1041]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{7/2} (c-i c \tan (e+f x))^{5/2}} \, dx\) [1042]
\(\int (a+i a \tan (e+f x))^4 (c-i c \tan (e+f x))^n \, dx\) [1043]
\(\int (a+i a \tan (e+f x))^3 (c-i c \tan (e+f x))^n \, dx\) [1044]
\(\int (a+i a \tan (e+f x))^2 (c-i c \tan (e+f x))^n \, dx\) [1045]
\(\int (a+i a \tan (e+f x)) (c-i c \tan (e+f x))^n \, dx\) [1046]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^n}{a+i a \tan (e+f x)} \, dx\) [1047]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^n}{(a+i a \tan (e+f x))^2} \, dx\) [1048]
\(\int \genfrac {}{}{}{}{(c-i c \tan (e+f x))^n}{(a+i a \tan (e+f x))^3} \, dx\) [1049]
\(\int (a+i a \tan (e+f x))^m (c-i c \tan (e+f x))^n \, dx\) [1050]
\(\int (a+i a \tan (e+f x))^m (c-i c \tan (e+f x))^4 \, dx\) [1051]
\(\int (a+i a \tan (e+f x))^m (c-i c \tan (e+f x))^3 \, dx\) [1052]
\(\int (a+i a \tan (e+f x))^m (c-i c \tan (e+f x))^2 \, dx\) [1053]
\(\int (a+i a \tan (e+f x))^m (c-i c \tan (e+f x)) \, dx\) [1054]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{c-i c \tan (e+f x)} \, dx\) [1055]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c-i c \tan (e+f x))^2} \, dx\) [1056]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c-i c \tan (e+f x))^3} \, dx\) [1057]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c-i c \tan (e+f x))^4} \, dx\) [1058]
\(\int (a+i a \tan (e+f x))^m (c-i c \tan (e+f x))^{5/2} \, dx\) [1059]
\(\int (a+i a \tan (e+f x))^m (c-i c \tan (e+f x))^{3/2} \, dx\) [1060]
\(\int (a+i a \tan (e+f x))^m \sqrt {c-i c \tan (e+f x)} \, dx\) [1061]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{\sqrt {c-i c \tan (e+f x)}} \, dx\) [1062]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c-i c \tan (e+f x))^{3/2}} \, dx\) [1063]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c-i c \tan (e+f x))^{5/2}} \, dx\) [1064]
\(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x)) \, dx\) [1065]
\(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x)) \, dx\) [1066]
\(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x)) \, dx\) [1067]
\(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{a+i a \tan (e+f x)} \, dx\) [1068]
\(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{(a+i a \tan (e+f x))^2} \, dx\) [1069]
\(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{(a+i a \tan (e+f x))^3} \, dx\) [1070]
\(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^2 \, dx\) [1071]
\(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^2 \, dx\) [1072]
\(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^2 \, dx\) [1073]
\(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^2}{a+i a \tan (e+f x)} \, dx\) [1074]
\(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^2}{(a+i a \tan (e+f x))^2} \, dx\) [1075]
\(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^2}{(a+i a \tan (e+f x))^3} \, dx\) [1076]
\(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^3 \, dx\) [1077]
\(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^3 \, dx\) [1078]
\(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^3 \, dx\) [1079]
\(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^3}{a+i a \tan (e+f x)} \, dx\) [1080]
\(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^3}{(a+i a \tan (e+f x))^2} \, dx\) [1081]
\(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^3}{(a+i a \tan (e+f x))^3} \, dx\) [1082]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{c+d \tan (e+f x)} \, dx\) [1083]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{c+d \tan (e+f x)} \, dx\) [1084]
\(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{c+d \tan (e+f x)} \, dx\) [1085]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))} \, dx\) [1086]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))} \, dx\) [1087]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))} \, dx\) [1088]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(c+d \tan (e+f x))^2} \, dx\) [1089]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(c+d \tan (e+f x))^2} \, dx\) [1090]
\(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(c+d \tan (e+f x))^2} \, dx\) [1091]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^2} \, dx\) [1092]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^2} \, dx\) [1093]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^2} \, dx\) [1094]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(c+d \tan (e+f x))^3} \, dx\) [1095]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(c+d \tan (e+f x))^3} \, dx\) [1096]
\(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(c+d \tan (e+f x))^3} \, dx\) [1097]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^3} \, dx\) [1098]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^3} \, dx\) [1099]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^3} \, dx\) [1100]