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]