\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^3 (A+C \sec ^2(c+d x)) \, dx\) [1101]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^3 (A+C \sec ^2(c+d x)) \, dx\) [1102]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^3 (A+C \sec ^2(c+d x)) \, dx\) [1103]
   \(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x))^3 (A+C \sec ^2(c+d x)) \, dx\) [1104]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^3 (A+C \sec ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [1105]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^3 (A+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1106]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (A+C \sec ^2(c+d x))}{a+a \sec (c+d x)} \, dx\) [1107]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \sec ^2(c+d x))}{a+a \sec (c+d x)} \, dx\) [1108]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \sec ^2(c+d x))}{a+a \sec (c+d x)} \, dx\) [1109]
   \(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \sec ^2(c+d x))}{a+a \sec (c+d x)} \, dx\) [1110]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))} \, dx\) [1111]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))} \, dx\) [1112]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))} \, dx\) [1113]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^2} \, dx\) [1114]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^2} \, dx\) [1115]
   \(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^2} \, dx\) [1116]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))^2} \, dx\) [1117]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^2} \, dx\) [1118]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^2} \, dx\) [1119]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^3} \, dx\) [1120]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^3} \, dx\) [1121]
   \(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^3} \, dx\) [1122]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))^3} \, dx\) [1123]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [1124]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [1125]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [1126]
   \(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x)) \, dx\) [1127]
   \(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x)) \, dx\) [1128]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x)) \, dx\) [1129]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x)) \, dx\) [1130]
   \(\int \sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x)) \, dx\) [1131]
   \(\int \genfrac {}{}{}{}{\sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [1132]
   \(\int \genfrac {}{}{}{}{\sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1133]
   \(\int \genfrac {}{}{}{}{\sqrt {a+a \sec (c+d x)} (A+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1134]
   \(\int \cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x)) \, dx\) [1135]
   \(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x)) \, dx\) [1136]
   \(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x)) \, dx\) [1137]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x)) \, dx\) [1138]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x)) \, dx\) [1139]
   \(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x)) \, dx\) [1140]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [1141]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1142]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^{3/2} (A+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1143]
   \(\int \cos ^{\genfrac {}{}{}{}{13}{2}}(c+d x) (a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\) [1144]
   \(\int \cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\) [1145]
   \(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\) [1146]
   \(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\) [1147]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\) [1148]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\) [1149]
   \(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x)) \, dx\) [1150]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [1151]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1152]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^{5/2} (A+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1153]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (A+C \sec ^2(c+d x))}{\sqrt {a+a \sec (c+d x)}} \, dx\) [1154]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \sec ^2(c+d x))}{\sqrt {a+a \sec (c+d x)}} \, dx\) [1155]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \sec ^2(c+d x))}{\sqrt {a+a \sec (c+d x)}} \, dx\) [1156]
   \(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \sec ^2(c+d x))}{\sqrt {a+a \sec (c+d x)}} \, dx\) [1157]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)} \sqrt {a+a \sec (c+d x)}} \, dx\) [1158]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+a \sec (c+d x)}} \, dx\) [1159]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+a \sec (c+d x)}} \, dx\) [1160]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{3/2}} \, dx\) [1161]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{3/2}} \, dx\) [1162]
   \(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{3/2}} \, dx\) [1163]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))^{3/2}} \, dx\) [1164]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx\) [1165]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^{3/2}} \, dx\) [1166]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx\) [1167]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx\) [1168]
   \(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)} (A+C \sec ^2(c+d x))}{(a+a \sec (c+d x))^{5/2}} \, dx\) [1169]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))^{5/2}} \, dx\) [1170]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx\) [1171]
   \(\int \genfrac {}{}{}{}{A+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^{5/2}} \, dx\) [1172]
   \(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1173]
   \(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1174]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1175]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1176]
   \(\int \sqrt {\cos (c+d x)} (B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1177]
   \(\int \genfrac {}{}{}{}{B \sec (c+d x)+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)}} \, dx\) [1178]
   \(\int \genfrac {}{}{}{}{B \sec (c+d x)+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1179]
   \(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1180]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1181]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1182]
   \(\int \sqrt {\cos (c+d x)} (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1183]
   \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{\sqrt {\cos (c+d x)}} \, dx\) [1184]
   \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1185]
   \(\int \genfrac {}{}{}{}{A+B \sec (c+d x)+C \sec ^2(c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [1186]
   \(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1187]
   \(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1188]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1189]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1190]
   \(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1191]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [1192]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x)) (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [1193]
   \(\int \cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+a \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1194]
   \(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1195]
   \(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1196]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1197]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1198]
   \(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x)) \, dx\) [1199]
   \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^2 (A+B \sec (c+d x)+C \sec ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [1200]