3.13 Integrals 1201 to 1300

   \(\int \cos ^5(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1201]
   \(\int \cos ^5(c+d x) \sin (c+d x) (a+b \sin (c+d x)) \, dx\) [1202]
   \(\int \cos ^4(c+d x) \cot (c+d x) (a+b \sin (c+d x)) \, dx\) [1203]
   \(\int \cos ^3(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1204]
   \(\int \cos ^2(c+d x) \cot ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1205]
   \(\int \cos (c+d x) \cot ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1206]
   \(\int \cot ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1207]
   \(\int \cot ^5(c+d x) \csc (c+d x) (a+b \sin (c+d x)) \, dx\) [1208]
   \(\int \cot ^5(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x)) \, dx\) [1209]
   \(\int \cot ^5(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x)) \, dx\) [1210]
   \(\int \cot ^5(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x)) \, dx\) [1211]
   \(\int \cot ^5(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x)) \, dx\) [1212]
   \(\int \cot ^5(c+d x) \csc ^6(c+d x) (a+b \sin (c+d x)) \, dx\) [1213]
   \(\int \cot ^5(c+d x) \csc ^7(c+d x) (a+b \sin (c+d x)) \, dx\) [1214]
   \(\int \cos ^5(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1215]
   \(\int \cos ^5(c+d x) \sin (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1216]
   \(\int \cos ^4(c+d x) \cot (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1217]
   \(\int \cos ^3(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1218]
   \(\int \cos ^2(c+d x) \cot ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1219]
   \(\int \cos (c+d x) \cot ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1220]
   \(\int \cot ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1221]
   \(\int \cot ^5(c+d x) \csc (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1222]
   \(\int \cot ^5(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1223]
   \(\int \cot ^5(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1224]
   \(\int \cot ^5(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1225]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1226]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1227]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1228]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1229]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1230]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1231]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^4(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1232]
   \(\int \genfrac {}{}{}{}{\cot ^5(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1233]
   \(\int \genfrac {}{}{}{}{\cot ^5(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1234]
   \(\int \cos ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1235]
   \(\int \cos ^5(c+d x) \sin ^n(c+d x) (a+b \sin (c+d x)) \, dx\) [1236]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin ^n(c+d x)}{a+b \sin (c+d x)} \, dx\) [1237]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \sin ^n(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1238]
   \(\int \cos ^6(c+d x) \sin ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1239]
   \(\int \cos ^6(c+d x) \sin ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1240]
   \(\int \cos ^6(c+d x) \sin ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1241]
   \(\int \cos ^6(c+d x) \sin ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1242]
   \(\int \cos ^6(c+d x) \sin (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1243]
   \(\int \cos ^5(c+d x) \cot (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1244]
   \(\int \cos ^4(c+d x) \cot ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1245]
   \(\int \cos ^3(c+d x) \cot ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1246]
   \(\int \cos ^2(c+d x) \cot ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1247]
   \(\int \cos (c+d x) \cot ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1248]
   \(\int \cot ^6(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1249]
   \(\int \cot ^6(c+d x) \csc (c+d x) (a+b \sin (c+d x))^2 \, dx\) [1250]
   \(\int \cot ^6(c+d x) \csc ^2(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1251]
   \(\int \cot ^6(c+d x) \csc ^3(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1252]
   \(\int \cot ^6(c+d x) \csc ^4(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1253]
   \(\int \cot ^6(c+d x) \csc ^5(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1254]
   \(\int \cot ^6(c+d x) \csc ^6(c+d x) (a+b \sin (c+d x))^2 \, dx\) [1255]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1256]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1257]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1258]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1259]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot ^2(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1260]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^3(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1261]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^4(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1262]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^5(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1263]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1264]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x) \csc (c+d x)}{(a+b \sin (c+d x))^2} \, dx\) [1265]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^3(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1266]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1267]
   \(\int \genfrac {}{}{}{}{\cos ^6(c+d x) \sin (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1268]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) \cot (c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1269]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) \cot ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1270]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \cot ^3(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1271]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot ^4(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1272]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^5(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1273]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1274]
   \(\int \genfrac {}{}{}{}{\cot ^6(c+d x) \csc ^2(c+d x)}{(a+b \sin (c+d x))^3} \, dx\) [1275]
   \(\int \genfrac {}{}{}{}{\cos ^6(e+f x)}{\sqrt {d \sin (e+f x)} (a+b \sin (e+f x))^{13/2}} \, dx\) [1276]
   \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2}{(g \cos (e+f x))^{5/2} \sqrt {d \sin (e+f x)}} \, dx\) [1277]
   \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x))^2}{(g \cos (e+f x))^{7/2} \sqrt {d \sin (e+f x)}} \, dx\) [1278]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1279]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1280]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \sin (c+d x)}{a+b \sin (c+d x)} \, dx\) [1281]
   \(\int \genfrac {}{}{}{}{\cot (c+d x)}{a+b \sin (c+d x)} \, dx\) [1282]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) \csc (c+d x)}{a+b \sin (c+d x)} \, dx\) [1283]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1284]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1285]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1286]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1287]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \sin (c+d x)}{a+b \sin (c+d x)} \, dx\) [1288]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\) [1289]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1290]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc (c+d x)}{a+b \sin (c+d x)} \, dx\) [1291]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1292]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1293]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) \csc ^4(c+d x)}{a+b \sin (c+d x)} \, dx\) [1294]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \sin ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1295]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \sin ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1296]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) \sin (c+d x)}{a+b \sin (c+d x)} \, dx\) [1297]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) \cot (c+d x)}{a+b \sin (c+d x)} \, dx\) [1298]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) \cot ^2(c+d x)}{a+b \sin (c+d x)} \, dx\) [1299]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{a+b \sin (c+d x)} \, dx\) [1300]