\(\int \cos ^2(e+f x) \sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{7/2} \, dx\) [1]
   \(\int \cos ^2(e+f x) \sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{5/2} \, dx\) [2]
   \(\int \cos ^2(e+f x) \sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2} \, dx\) [3]
   \(\int \cos ^2(e+f x) \sqrt {a+a \sin (e+f x)} \sqrt {c-c \sin (e+f x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) \sqrt {a+a \sin (e+f x)}}{\sqrt {c-c \sin (e+f x)}} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) \sqrt {a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{3/2}} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) \sqrt {a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{5/2}} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) \sqrt {a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{7/2}} \, dx\) [8]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{7/2} \, dx\) [9]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{5/2} \, dx\) [10]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{3/2} \, dx\) [11]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{3/2} \sqrt {c-c \sin (e+f x)} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{3/2}}{\sqrt {c-c \sin (e+f x)}} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{3/2}} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{5/2}} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{7/2}} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{9/2}} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{3/2}}{(c-c \sin (e+f x))^{11/2}} \, dx\) [18]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{7/2} \, dx\) [19]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2} \, dx\) [20]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{3/2} \, dx\) [21]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{5/2} \sqrt {c-c \sin (e+f x)} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{5/2}}{\sqrt {c-c \sin (e+f x)}} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{3/2}} \, dx\) [24]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{5/2}} \, dx\) [25]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{7/2}} \, dx\) [26]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{9/2}} \, dx\) [27]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{11/2}} \, dx\) [28]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{5/2}}{(c-c \sin (e+f x))^{13/2}} \, dx\) [29]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{9/2} \, dx\) [30]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{7/2} \, dx\) [31]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{5/2} \, dx\) [32]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{7/2} (c-c \sin (e+f x))^{3/2} \, dx\) [33]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^{7/2} \sqrt {c-c \sin (e+f x)} \, dx\) [34]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{\sqrt {c-c \sin (e+f x)}} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{3/2}} \, dx\) [36]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{5/2}} \, dx\) [37]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{7/2}} \, dx\) [38]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{9/2}} \, dx\) [39]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{11/2}} \, dx\) [40]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{13/2}} \, dx\) [41]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{15/2}} \, dx\) [42]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^{7/2}}{(c-c \sin (e+f x))^{17/2}} \, dx\) [43]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{5/2}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [44]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{3/2}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [45]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) \sqrt {c-c \sin (e+f x)}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [46]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{\sqrt {a+a \sin (e+f x)} \sqrt {c-c \sin (e+f x)}} \, dx\) [47]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\) [48]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{5/2}} \, dx\) [49]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [50]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [51]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [52]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) \sqrt {c-c \sin (e+f x)}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [53]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{3/2} \sqrt {c-c \sin (e+f x)}} \, dx\) [54]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{3/2}} \, dx\) [55]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{5/2}} \, dx\) [56]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{9/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [57]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [58]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [59]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [60]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) \sqrt {c-c \sin (e+f x)}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [61]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{5/2} \sqrt {c-c \sin (e+f x)}} \, dx\) [62]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{3/2}} \, dx\) [63]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2}} \, dx\) [64]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n \, dx\) [65]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^3 \, dx\) [66]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^2 \, dx\) [67]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x)) \, dx\) [68]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m \, dx\) [69]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^m}{c-c \sin (e+f x)} \, dx\) [70]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^2} \, dx\) [71]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^3} \, dx\) [72]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} \, dx\) [73]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} \, dx\) [74]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m \sqrt {c-c \sin (e+f x)} \, dx\) [75]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^m}{\sqrt {c-c \sin (e+f x)}} \, dx\) [76]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^{3/2}} \, dx\) [77]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^m}{(c-c \sin (e+f x))^{5/2}} \, dx\) [78]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (a+a \sin (e+f x))^m}{\sqrt {c-c \sin (e+f x)}} \, dx\) [79]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x) (c+c \sin (e+f x))^m}{\sqrt {a-a \sin (e+f x)}} \, dx\) [80]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-5-m} \, dx\) [81]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-4-m} \, dx\) [82]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-3-m} \, dx\) [83]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-2-m} \, dx\) [84]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-1-m} \, dx\) [85]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-m} \, dx\) [86]
   \(\int \cos ^2(e+f x) (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{1-m} \, dx\) [87]
   \(\int (g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{7/2} \, dx\) [88]
   \(\int (g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{5/2} \, dx\) [89]
   \(\int (g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2} \, dx\) [90]
   \(\int (g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)} \sqrt {c-c \sin (e+f x)} \, dx\) [91]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)}}{\sqrt {c-c \sin (e+f x)}} \, dx\) [92]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{3/2}} \, dx\) [93]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{5/2}} \, dx\) [94]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{7/2}} \, dx\) [95]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} \sqrt {a+a \sin (e+f x)}}{(c-c \sin (e+f x))^{9/2}} \, dx\) [96]
   \(\int (g \cos (e+f x))^{3/2} (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{5/2} \, dx\) [97]
   \(\int (g \cos (e+f x))^{3/2} (a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{3/2} \, dx\) [98]
   \(\int (g \cos (e+f x))^{3/2} (a+a \sin (e+f x))^{3/2} \sqrt {c-c \sin (e+f x)} \, dx\) [99]
   \(\int \genfrac {}{}{}{}{(g \cos (e+f x))^{3/2} (a+a \sin (e+f x))^{3/2}}{\sqrt {c-c \sin (e+f x)}} \, dx\) [100]