3.1 \(\int \sin ^3(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.2 \(\int \sin ^2(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.3 \(\int \sin (e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.4 \(\int (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.5 \(\int \csc (e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.6 \(\int \csc ^2(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.7 \(\int \csc ^3(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.8 \(\int \csc ^4(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.9 \(\int \csc ^5(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.10 \(\int \csc ^6(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.11 \(\int \csc ^7(e+f x) (a+a \sin (e+f x))^2 (c-c \sin (e+f x)) \, dx\)
 3.12 \(\int \sin ^2(c+d x) (a+a \sin (c+d x))^{3/2} (c-c \sin (c+d x)) \, dx\)
 3.13 \(\int \frac{\csc (e+f x) \sqrt{a+a \sin (e+f x)}}{c-c \sin (e+f x)} \, dx\)
 3.14 \(\int \frac{\csc (e+f x)}{\sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))} \, dx\)
 3.15 \(\int \frac{\sqrt{g \sin (e+f x)} \sqrt{a+a \sin (e+f x)}}{c-c \sin (e+f x)} \, dx\)
 3.16 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{\sqrt{g \sin (e+f x)} (c-c \sin (e+f x))} \, dx\)
 3.17 \(\int \frac{\sqrt{g \sin (e+f x)}}{\sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))} \, dx\)
 3.18 \(\int \frac{1}{\sqrt{g \sin (e+f x)} \sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))} \, dx\)
 3.19 \(\int \csc (e+f x) \sqrt{a+a \sin (e+f x)} \sqrt{c-c \sin (e+f x)} \, dx\)
 3.20 \(\int \frac{\csc (e+f x) \sqrt{a+a \sin (e+f x)}}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.21 \(\int \frac{\csc (e+f x) \sqrt{c-c \sin (e+f x)}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.22 \(\int \frac{\csc (e+f x)}{\sqrt{a+a \sin (e+f x)} \sqrt{c-c \sin (e+f x)}} \, dx\)
 3.23 \(\int \frac{\csc (e+f x) \sqrt{a+a \sin (e+f x)}}{c+d \sin (e+f x)} \, dx\)
 3.24 \(\int \frac{\csc (e+f x)}{\sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.25 \(\int \frac{\sqrt{g \sin (e+f x)} \sqrt{a+a \sin (e+f x)}}{c+d \sin (e+f x)} \, dx\)
 3.26 \(\int \frac{\sqrt{a+a \sin (e+f x)}}{\sqrt{g \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.27 \(\int \frac{\sqrt{g \sin (e+f x)}}{\sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.28 \(\int \frac{1}{\sqrt{g \sin (e+f x)} \sqrt{a+a \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.29 \(\int \frac{\csc (e+f x) \sqrt{a+b \sin (e+f x)}}{c+c \sin (e+f x)} \, dx\)
 3.30 \(\int \frac{\csc (e+f x)}{\sqrt{a+b \sin (e+f x)} (c+c \sin (e+f x))} \, dx\)
 3.31 \(\int \frac{\sqrt{g \sin (e+f x)} \sqrt{a+b \sin (e+f x)}}{c+c \sin (e+f x)} \, dx\)
 3.32 \(\int \frac{\sqrt{a+b \sin (e+f x)}}{\sqrt{g \sin (e+f x)} (c+c \sin (e+f x))} \, dx\)
 3.33 \(\int \frac{\sqrt{g \sin (e+f x)}}{\sqrt{a+b \sin (e+f x)} (c+c \sin (e+f x))} \, dx\)
 3.34 \(\int \frac{1}{\sqrt{g \sin (e+f x)} \sqrt{a+b \sin (e+f x)} (c+c \sin (e+f x))} \, dx\)
 3.35 \(\int \csc (e+f x) \sqrt{a+a \sin (e+f x)} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.36 \(\int \frac{\csc (e+f x) \sqrt{a+a \sin (e+f x)}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.37 \(\int \frac{\csc (e+f x) \sqrt{c+d \sin (e+f x)}}{\sqrt{a+a \sin (e+f x)}} \, dx\)
 3.38 \(\int \frac{\csc (e+f x)}{\sqrt{a+a \sin (e+f x)} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.39 \(\int \frac{\sin ^2(e+f x)}{(a+b \sin (e+f x))^2 (c+d \sin (e+f x))} \, dx\)
 3.40 \(\int \frac{\csc (e+f x) \sqrt{c+d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\)
 3.41 \(\int \frac{\csc (e+f x)}{(a+b \sin (e+f x)) \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.42 \(\int \frac{\sqrt{g \sin (e+f x)} \sqrt{a+b \sin (e+f x)}}{c+d \sin (e+f x)} \, dx\)
 3.43 \(\int \frac{\sqrt{a+b \sin (e+f x)}}{\sqrt{g \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.44 \(\int \frac{\sqrt{g \sin (e+f x)}}{\sqrt{a+b \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.45 \(\int \frac{1}{\sqrt{g \sin (e+f x)} \sqrt{a+b \sin (e+f x)} (c+d \sin (e+f x))} \, dx\)
 3.46 \(\int \frac{\sqrt{g \sin (e+f x)} \sqrt{c+d \sin (e+f x)}}{a+b \sin (e+f x)} \, dx\)
 3.47 \(\int \frac{\sqrt{g \sin (e+f x)}}{(a+b \sin (e+f x)) \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.48 \(\int \csc (e+f x) \sqrt{a+b \sin (e+f x)} \sqrt{c+d \sin (e+f x)} \, dx\)
 3.49 \(\int \frac{\csc (e+f x) \sqrt{a+b \sin (e+f x)}}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.50 \(\int \frac{\csc (e+f x)}{\sqrt{a+b \sin (e+f x)} \sqrt{c+d \sin (e+f x)}} \, dx\)
 3.51 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x))^p (c-c \sin (e+f x))^n \, dx\)