3.12.1 \(\int (a+i a \tan (e+f x))^3 \sqrt {c+d \tan (e+f x)} \, dx\) [1101]
  3.12.2 \(\int (a+i a \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)} \, dx\) [1102]
  3.12.3 \(\int (a+i a \tan (e+f x)) \sqrt {c+d \tan (e+f x)} \, dx\) [1103]
  3.12.4 \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{a+i a \tan (e+f x)} \, dx\) [1104]
  3.12.5 \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^2} \, dx\) [1105]
  3.12.6 \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^3} \, dx\) [1106]
  3.12.7 \(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{3/2} \, dx\) [1107]
  3.12.8 \(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{3/2} \, dx\) [1108]
  3.12.9 \(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^{3/2} \, dx\) [1109]
  3.12.10 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{a+i a \tan (e+f x)} \, dx\) [1110]
  3.12.11 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^2} \, dx\) [1111]
  3.12.12 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^3} \, dx\) [1112]
  3.12.13 \(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{5/2} \, dx\) [1113]
  3.12.14 \(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{5/2} \, dx\) [1114]
  3.12.15 \(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^{5/2} \, dx\) [1115]
  3.12.16 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{a+i a \tan (e+f x)} \, dx\) [1116]
  3.12.17 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^2} \, dx\) [1117]
  3.12.18 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^3} \, dx\) [1118]
  3.12.19 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1119]
  3.12.20 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1120]
  3.12.21 \(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1121]
  3.12.22 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) \sqrt {c+d \tan (e+f x)}} \, dx\) [1122]
  3.12.23 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 \sqrt {c+d \tan (e+f x)}} \, dx\) [1123]
  3.12.24 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 \sqrt {c+d \tan (e+f x)}} \, dx\) [1124]
  3.12.25 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1125]
  3.12.26 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1126]
  3.12.27 \(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1127]
  3.12.28 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^{3/2}} \, dx\) [1128]
  3.12.29 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{3/2}} \, dx\) [1129]
  3.12.30 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{3/2}} \, dx\) [1130]
  3.12.31 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1131]
  3.12.32 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1132]
  3.12.33 \(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1133]
  3.12.34 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x)) (c+d \tan (e+f x))^{5/2}} \, dx\) [1134]
  3.12.35 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^{5/2}} \, dx\) [1135]
  3.12.36 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^{5/2}} \, dx\) [1136]
  3.12.37 \(\int (a+i a \tan (e+f x))^{5/2} \sqrt {c+d \tan (e+f x)} \, dx\) [1137]
  3.12.38 \(\int (a+i a \tan (e+f x))^{3/2} \sqrt {c+d \tan (e+f x)} \, dx\) [1138]
  3.12.39 \(\int \sqrt {a+i a \tan (e+f x)} \sqrt {c+d \tan (e+f x)} \, dx\) [1139]
  3.12.40 \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1140]
  3.12.41 \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1141]
  3.12.42 \(\int \genfrac {}{}{}{}{\sqrt {c+d \tan (e+f x)}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1142]
  3.12.43 \(\int (a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{3/2} \, dx\) [1143]
  3.12.44 \(\int (a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{3/2} \, dx\) [1144]
  3.12.45 \(\int \sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{3/2} \, dx\) [1145]
  3.12.46 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1146]
  3.12.47 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1147]
  3.12.48 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1148]
  3.12.49 \(\int (a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2} \, dx\) [1149]
  3.12.50 \(\int (a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{5/2} \, dx\) [1150]
  3.12.51 \(\int \sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{5/2} \, dx\) [1151]
  3.12.52 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{\sqrt {a+i a \tan (e+f x)}} \, dx\) [1152]
  3.12.53 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{3/2}} \, dx\) [1153]
  3.12.54 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^{5/2}} \, dx\) [1154]
  3.12.55 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1155]
  3.12.56 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1156]
  3.12.57 \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1157]
  3.12.58 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} \sqrt {c+d \tan (e+f x)}} \, dx\) [1158]
  3.12.59 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} \sqrt {c+d \tan (e+f x)}} \, dx\) [1159]
  3.12.60 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} \sqrt {c+d \tan (e+f x)}} \, dx\) [1160]
  3.12.61 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1161]
  3.12.62 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1162]
  3.12.63 \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1163]
  3.12.64 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{3/2}} \, dx\) [1164]
  3.12.65 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{3/2}} \, dx\) [1165]
  3.12.66 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{3/2}} \, dx\) [1166]
  3.12.67 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{5/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1167]
  3.12.68 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^{3/2}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1168]
  3.12.69 \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (e+f x)}}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1169]
  3.12.70 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (e+f x)} (c+d \tan (e+f x))^{5/2}} \, dx\) [1170]
  3.12.71 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{3/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1171]
  3.12.72 \(\int \genfrac {}{}{}{}{1}{(a+i a \tan (e+f x))^{5/2} (c+d \tan (e+f x))^{5/2}} \, dx\) [1172]
  3.12.73 \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^n \, dx\) [1173]
  3.12.74 \(\int (a+i a \tan (e+f x))^3 (c+d \tan (e+f x))^n \, dx\) [1174]
  3.12.75 \(\int (a+i a \tan (e+f x))^2 (c+d \tan (e+f x))^n \, dx\) [1175]
  3.12.76 \(\int (a+i a \tan (e+f x)) (c+d \tan (e+f x))^n \, dx\) [1176]
  3.12.77 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^n}{a+i a \tan (e+f x)} \, dx\) [1177]
  3.12.78 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^n}{(a+i a \tan (e+f x))^2} \, dx\) [1178]
  3.12.79 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^n}{(a+i a \tan (e+f x))^3} \, dx\) [1179]
  3.12.80 \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^3 \, dx\) [1180]
  3.12.81 \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^2 \, dx\) [1181]
  3.12.82 \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x)) \, dx\) [1182]
  3.12.83 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{c+d \tan (e+f x)} \, dx\) [1183]
  3.12.84 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^2} \, dx\) [1184]
  3.12.85 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^3} \, dx\) [1185]
  3.12.86 \(\int (a+i a \tan (e+f x))^m (c+d \tan (e+f x))^{3/2} \, dx\) [1186]
  3.12.87 \(\int (a+i a \tan (e+f x))^m \sqrt {c+d \tan (e+f x)} \, dx\) [1187]
  3.12.88 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{\sqrt {c+d \tan (e+f x)}} \, dx\) [1188]
  3.12.89 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^{3/2}} \, dx\) [1189]
  3.12.90 \(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^m}{(c+d \tan (e+f x))^{5/2}} \, dx\) [1190]
  3.12.91 \(\int (a+b \tan (e+f x))^3 (c+d \tan (e+f x)) \, dx\) [1191]
  3.12.92 \(\int (a+b \tan (e+f x))^2 (c+d \tan (e+f x)) \, dx\) [1192]
  3.12.93 \(\int (a+b \tan (e+f x)) (c+d \tan (e+f x)) \, dx\) [1193]
  3.12.94 \(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{a+b \tan (e+f x)} \, dx\) [1194]
  3.12.95 \(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{(a+b \tan (e+f x))^2} \, dx\) [1195]
  3.12.96 \(\int \genfrac {}{}{}{}{c+d \tan (e+f x)}{(a+b \tan (e+f x))^3} \, dx\) [1196]
  3.12.97 \(\int (a+b \tan (e+f x))^3 (c+d \tan (e+f x))^2 \, dx\) [1197]
  3.12.98 \(\int (a+b \tan (e+f x))^2 (c+d \tan (e+f x))^2 \, dx\) [1198]
  3.12.99 \(\int (a+b \tan (e+f x)) (c+d \tan (e+f x))^2 \, dx\) [1199]
  3.12.100 \(\int \genfrac {}{}{}{}{(c+d \tan (e+f x))^2}{a+b \tan (e+f x)} \, dx\) [1200]