\(\int \sin ^3(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\) [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]