\(\int \sin ^3(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [1]
   \(\int \sin ^2(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [2]
   \(\int \sin (e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [3]
   \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [4]
   \(\int \csc (e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [5]
   \(\int \csc ^2(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [6]
   \(\int \csc ^3(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [7]
   \(\int \csc ^4(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [8]
   \(\int \csc ^5(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [9]
   \(\int \csc ^6(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [10]
   \(\int \csc ^7(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [11]
   \(\int \sin ^2(c+d x) (a+a \sin (c+d x))^{3/2} (c-c \sin (c+d x)) \, dx\) [12]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {a+a \sin (e+f x)}}{c-c \sin (e+f x)} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)} \sqrt {a+a \sin (e+f x)}}{c-c \sin (e+f x)} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)}}{\sqrt {g \sin (e+f x)} (c-c \sin (e+f x))} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)}}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {g \sin (e+f x)} \sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))} \, dx\) [18]
   \(\int \csc (e+f x) \sqrt {a+a \sin (e+f x)} \sqrt {c-c \sin (e+f x)} \, dx\) [19]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {a+a \sin (e+f x)}}{\sqrt {c-c \sin (e+f x)}} \, dx\) [20]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {c-c \sin (e+f x)}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {a+a \sin (e+f x)} \sqrt {c-c \sin (e+f x)}} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {a+a \sin (e+f x)}}{c+d \sin (e+f x)} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [24]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)} \sqrt {a+a \sin (e+f x)}}{c+d \sin (e+f x)} \, dx\) [25]
   \(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)}}{\sqrt {g \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [26]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)}}{\sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [27]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {g \sin (e+f x)} \sqrt {a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [28]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {a+b \sin (e+f x)}}{c+c \sin (e+f x)} \, dx\) [29]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {a+b \sin (e+f x)} (c+c \sin (e+f x))} \, dx\) [30]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)} \sqrt {a+b \sin (e+f x)}}{c+c \sin (e+f x)} \, dx\) [31]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \sin (e+f x)}}{\sqrt {g \sin (e+f x)} (c+c \sin (e+f x))} \, dx\) [32]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)}}{\sqrt {a+b \sin (e+f x)} (c+c \sin (e+f x))} \, dx\) [33]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {g \sin (e+f x)} \sqrt {a+b \sin (e+f x)} (c+c \sin (e+f x))} \, dx\) [34]
   \(\int \csc (e+f x) \sqrt {a+a \sin (e+f x)} \sqrt {c+d \sin (e+f x)} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {a+a \sin (e+f x)}}{\sqrt {c+d \sin (e+f x)}} \, dx\) [36]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {c+d \sin (e+f x)}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [37]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {a+a \sin (e+f x)} \sqrt {c+d \sin (e+f x)}} \, dx\) [38]
   \(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))} \, dx\) [39]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {c+d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\) [40]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{(a+b \sin (e+f x)) \sqrt {c+d \sin (e+f x)}} \, dx\) [41]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)} \sqrt {a+b \sin (e+f x)}}{c+d \sin (e+f x)} \, dx\) [42]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \sin (e+f x)}}{\sqrt {g \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [43]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)}}{\sqrt {a+b \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [44]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {g \sin (e+f x)} \sqrt {a+b \sin (e+f x)} (c+d \sin (e+f x))} \, dx\) [45]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)} \sqrt {c+d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\) [46]
   \(\int \genfrac {}{}{}{}{\sqrt {g \sin (e+f x)}}{(a+b \sin (e+f x)) \sqrt {c+d \sin (e+f x)}} \, dx\) [47]
   \(\int \csc (e+f x) \sqrt {a+b \sin (e+f x)} \sqrt {c+d \sin (e+f x)} \, dx\) [48]
   \(\int \genfrac {}{}{}{}{\csc (e+f x) \sqrt {a+b \sin (e+f x)}}{\sqrt {c+d \sin (e+f x)}} \, dx\) [49]
   \(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {a+b \sin (e+f x)} \sqrt {c+d \sin (e+f x)}} \, dx\) [50]
   \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x))^p (c-c \sin (e+f x))^n \, dx\) [51]