3.1 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} (A+C \sin ^2(e+f x)) \, dx\)
 3.2 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} (A+C \sin ^2(e+f x)) \, dx\)
 3.3 \(\int (a+a \sin (e+f x))^m \sqrt{c-c \sin (e+f x)} (A+C \sin ^2(e+f x)) \, dx\)
 3.4 \(\int \frac{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.5 \(\int \frac{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.6 \(\int \frac{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.7 \(\int \frac{A+C \sin ^2(e+f x)}{\sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.8 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n (A+C \sin ^2(e+f x)) \, dx\)
 3.9 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n (A+C \sin ^2(e+f x)) \, dx\)
 3.10 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (A+C \sin ^2(e+f x)) \, dx\)
 3.11 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} (A+C \sin ^2(e+f x)) \, dx\)
 3.12 \(\int (a+a \sin (e+f x))^m \sqrt{c+d \sin (e+f x)} (A+C \sin ^2(e+f x)) \, dx\)
 3.13 \(\int \frac{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.14 \(\int \frac{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.15 \(\int \frac{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.16 \(\int \frac{A+B \sin (e+f x)+C \sin ^2(e+f x)}{\sqrt{a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\)
 3.17 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.18 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.19 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.20 \(\int (a+a \sin (e+f x))^m \sqrt{c-c \sin (e+f x)} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.21 \(\int \frac{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sqrt{c-c \sin (e+f x)}} \, dx\)
 3.22 \(\int \frac{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\)
 3.23 \(\int \frac{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\)
 3.24 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-2-m} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.25 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.26 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.27 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.28 \(\int (a+a \sin (e+f x))^m \sqrt{c+d \sin (e+f x)} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.29 \(\int \frac{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sqrt{c+d \sin (e+f x)}} \, dx\)
 3.30 \(\int \frac{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\)
 3.31 \(\int \frac{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{5/2}} \, dx\)
 3.32 \(\int (a+b \sin (c+d x)) (A+B \sin (c+d x)+C \sin ^2(c+d x)) \, dx\)
 3.33 \(\int \frac{(a+b \sin (e+f x)) (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sin ^{\frac{3}{2}}(e+f x)} \, dx\)
 3.34 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)