3.12 Integrals 1101 to 1200

   \(\int (a+i a \tan (e+f x))^3 \sqrt {c+d \tan (e+f x)} \, dx\) [1101]
   \(\int (a+i a \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)} \, dx\) [1102]
   \(\int (a+i a \tan (e+f x)) \sqrt {c+d \tan (e+f x)} \, dx\) [1103]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{a+i a \tan (e+f x)} \, dx\) [1104]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^2} \, dx\) [1105]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^3} \, dx\) [1106]
   \(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{3/2} \, dx\) [1107]
   \(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{3/2} \, dx\) [1108]
   \(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^{3/2} \, dx\) [1109]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{a+i a \tan (e+f x)} \, dx\) [1110]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^2} \, dx\) [1111]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^3} \, dx\) [1112]
   \(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{5/2} \, dx\) [1113]
   \(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{5/2} \, dx\) [1114]
   \(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^{5/2} \, dx\) [1115]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{a+i a \tan (e+f x)} \, dx\) [1116]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^2} \, dx\) [1117]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^3} \, dx\) [1118]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1119]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1120]
   \(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1121]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx\) [1122]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx\) [1123]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 \sqrt {c+d \tan (e+f x)}} \, dx\) [1124]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1125]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1126]
   \(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1127]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^{3/2}} \, dx\) [1128]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{3/2}} \, dx\) [1129]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{3/2}} \, dx\) [1130]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1131]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1132]
   \(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1133]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^{5/2}} \, dx\) [1134]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{5/2}} \, dx\) [1135]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{5/2}} \, dx\) [1136]
   \(\int (a+i a \tan (e+f x))^{5/2} \sqrt {c+d \tan (e+f x)} \, dx\) [1137]
   \(\int (a+i a \tan (e+f x))^{3/2} \sqrt {c+d \tan (e+f x)} \, dx\) [1138]
   \(\int \sqrt {a+i a \tan (e+f x)} \sqrt {c+d \tan (e+f x)} \, dx\) [1139]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1140]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1141]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1142]
   \(\int (a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{3/2} \, dx\) [1143]
   \(\int (a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{3/2} \, dx\) [1144]
   \(\int \sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{3/2} \, dx\) [1145]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1146]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1147]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1148]
   \(\int (a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2} \, dx\) [1149]
   \(\int (a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{5/2} \, dx\) [1150]
   \(\int \sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{5/2} \, dx\) [1151]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1152]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1153]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1154]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1155]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1156]
   \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1157]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} \sqrt {c+d \tan (e+f x)}} \, dx\) [1158]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} \sqrt {c+d \tan (e+f x)}} \, dx\) [1159]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} \sqrt {c+d \tan (e+f x)}} \, dx\) [1160]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1161]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1162]
   \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1163]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{3/2}} \, dx\) [1164]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{3/2}} \, dx\) [1165]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{3/2}} \, dx\) [1166]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1167]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1168]
   \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1169]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{5/2}} \, dx\) [1170]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1171]
   \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1172]
   \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^n \, dx\) [1173]
   \(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^n \, dx\) [1174]
   \(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^n \, dx\) [1175]
   \(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^n \, dx\) [1176]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^n}{a+i a \tan (e+f x)} \, dx\) [1177]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^n}{(a+i a \tan (e+f x))^2} \, dx\) [1178]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^n}{(a+i a \tan (e+f x))^3} \, dx\) [1179]
   \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^3 \, dx\) [1180]
   \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^2 \, dx\) [1181]
   \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x)) \, dx\) [1182]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{c+d \tan (e+f x)} \, dx\) [1183]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^2} \, dx\) [1184]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^3} \, dx\) [1185]
   \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^{3/2} \, dx\) [1186]
   \(\int (a+i a \tan (e+f x))^m \sqrt {c+d \tan (e+f x)} \, dx\) [1187]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1188]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1189]
   \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1190]
   \(\int (a+b \tan (e+f x))^3 (c+d \tan (e+f x)) \, dx\) [1191]
   \(\int (a+b \tan (e+f x))^2 (c+d \tan (e+f x)) \, dx\) [1192]
   \(\int (a+b \tan (e+f x)) (c+d \tan (e+f x)) \, dx\) [1193]
   \(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{a+b \tan (e+f x)} \, dx\) [1194]
   \(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{(a+b \tan (e+f x))^2} \, dx\) [1195]
   \(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{(a+b \tan (e+f x))^3} \, dx\) [1196]
   \(\int (a+b \tan (e+f x))^3 (c+d \tan (e+f x))^2 \, dx\) [1197]
   \(\int (a+b \tan (e+f x))^2 (c+d \tan (e+f x))^2 \, dx\) [1198]
   \(\int (a+b \tan (e+f x)) (c+d \tan (e+f x))^2 \, dx\) [1199]
   \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^2}{a+b \tan (e+f x)} \, dx\) [1200]