\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} (A+C \sin ^2(e+f x)) \, dx\) [1]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} (A+C \sin ^2(e+f x)) \, dx\) [2]
\(\int (a+a \sin (e+f x))^m \sqrt {c-c \sin (e+f x)} (A+C \sin ^2(e+f x)) \, dx\) [3]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{A+C \sin ^2(e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\) [7]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n (A+C \sin ^2(e+f x)) \, dx\) [8]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n (A+C \sin ^2(e+f x)) \, dx\) [9]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (A+C \sin ^2(e+f x)) \, dx\) [10]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} (A+C \sin ^2(e+f x)) \, dx\) [11]
\(\int (a+a \sin (e+f x))^m \sqrt {c+d \sin (e+f x)} (A+C \sin ^2(e+f x)) \, dx\) [12]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{\sqrt {c+d \sin (e+f x)}} \, dx\) [13]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)+C \sin ^2(e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\) [15]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [16]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [17]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [18]
\(\int (a+a \sin (e+f x))^m \sqrt {c-c \sin (e+f x)} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [19]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [22]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-2-m} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [23]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [24]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [25]
\(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [26]
\(\int (a+a \sin (e+f x))^m \sqrt {c+d \sin (e+f x)} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [27]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sqrt {c+d \sin (e+f x)}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\) [29]
\(\int (a+b \sin (c+d x)) (A+B \sin (c+d x)+C \sin ^2(c+d x)) \, dx\) [30]
\(\int \genfrac {}{}{}{}{(a+b \sin (e+f x)) (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sin ^{\genfrac {}{}{}{}{3}{2}}(e+f x)} \, dx\) [31]
\(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [32]