\(\int \cot ^4(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1101]
   \(\int \cot ^4(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1102]
   \(\int \cot ^4(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1103]
   \(\int \cot ^4(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1104]
   \(\int \cos ^4(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1105]
   \(\int \cos ^4(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1106]
   \(\int \cos ^4(c+d x) \sin (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1107]
   \(\int \cos ^3(c+d x) \cot (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1108]
   \(\int \cos ^2(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1109]
   \(\int \cos (c+d x) \cot ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1110]
   \(\int \cot ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1111]
   \(\int \cot ^4(c+d x) \csc (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1112]
   \(\int \cot ^4(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1113]
   \(\int \cot ^4(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1114]
   \(\int \cot ^4(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1115]
   \(\int \cos ^4(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1116]
   \(\int \cos ^4(c+d x) \sin (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1117]
   \(\int \cos ^3(c+d x) \cot (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1118]
   \(\int \cos ^2(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1119]
   \(\int \cos (c+d x) \cot ^3(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1120]
   \(\int \cot ^4(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1121]
   \(\int \cot ^4(c+d x) \csc (c+d x) (a+b \sin (c+d x))^3 \, dx\) [1122]
   \(\int \cot ^4(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1123]
   \(\int \cot ^4(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1124]
   \(\int \cot ^4(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1125]
   \(\int \cot ^4(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1126]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1127]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1128]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1129]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1130]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1131]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1132]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1133]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1134]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1135]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1136]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1137]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1138]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1139]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^3(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1140]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1141]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1142]
   \(\int \cos ^4(c+d x) \sin ^2(c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1143]
   \(\int \cos ^4(c+d x) \sin (c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1144]
   \(\int \cos ^3(c+d x) \cot (c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1145]
   \(\int \cos ^2(c+d x) \cot ^2(c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1146]
   \(\int \cos (c+d x) \cot ^3(c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1147]
   \(\int \cot ^4(c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1148]
   \(\int \cot ^4(c+d x) \csc (c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1149]
   \(\int \cot ^4(c+d x) \csc ^2(c+d x) \sqrt {a+b \sin (c+d x)} \, dx\) [1150]
   \(\int \cos ^4(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1151]
   \(\int \cos ^4(c+d x) \sin (c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1152]
   \(\int \cos ^3(c+d x) \cot (c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1153]
   \(\int \cos ^2(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1154]
   \(\int \cos (c+d x) \cot ^3(c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1155]
   \(\int \cot ^4(c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1156]
   \(\int \cot ^4(c+d x) \csc (c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1157]
   \(\int \cot ^4(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1158]
   \(\int \cot ^4(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^{3/2} \, dx\) [1159]
   \(\int \cos ^4(c+d x) \sin (c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1160]
   \(\int \cos ^3(c+d x) \cot (c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1161]
   \(\int \cos ^2(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1162]
   \(\int \cos (c+d x) \cot ^3(c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1163]
   \(\int \cot ^4(c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1164]
   \(\int \cot ^4(c+d x) \csc (c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1165]
   \(\int \cot ^4(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1166]
   \(\int \cot ^4(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^{5/2} \, dx\) [1167]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^3(c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1168]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^2(c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1169]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin (c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1170]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot (c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1171]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^2(c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1172]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^3(c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1173]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1174]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x) \csc (c+d x)}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1175]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^{3/2}} \, dx\) [1176]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^{3/2}} \, dx\) [1177]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^{3/2}} \, dx\) [1178]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^{3/2}} \, dx\) [1179]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^2(c+d x)}{(a+b \sin (c+d x))^{3/2}} \, dx\) [1180]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^3(c+d x)}{(a+b \sin (c+d x))^{3/2}} \, dx\) [1181]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{(a+b \sin (c+d x))^{3/2}} \, dx\) [1182]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^{5/2}} \, dx\) [1183]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^{5/2}} \, dx\) [1184]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^{5/2}} \, dx\) [1185]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^{5/2}} \, dx\) [1186]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^2(c+d x)}{(a+b \sin (c+d x))^{5/2}} \, dx\) [1187]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^3(c+d x)}{(a+b \sin (c+d x))^{5/2}} \, dx\) [1188]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{(a+b \sin (c+d x))^{5/2}} \, dx\) [1189]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x)}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))^{9/2}} \, dx\) [1190]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \sqrt [3]{\sin (c+d x)}}{\sqrt {a+b \sin (c+d x)}} \, dx\) [1191]
   \(\int \cos ^4(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^p \, dx\) [1192]
   \(\int \cos ^4(c+d x) \sin ^{-3-p}(c+d x) (a+b \sin (c+d x))^p \, dx\) [1193]
   \(\int \cos ^4(c+d x) \sin ^{-4-p}(c+d x) (a+b \sin (c+d x))^p \, dx\) [1194]
   \(\int \cos ^4(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^3 \, dx\) [1195]
   \(\int \cos ^4(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1196]
   \(\int \cos ^4(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x)) \, dx\) [1197]
   \(\int \cos ^5(c+d x) \sin ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1198]
   \(\int \cos ^5(c+d x) \sin ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1199]
   \(\int \cos ^5(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1200]