3.1.1 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} (A+C \sin ^2(e+f x)) \, dx\) [1]
  3.1.2 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} (A+C \sin ^2(e+f x)) \, dx\) [2]
  3.1.3 \(\int (a+a \sin (e+f x))^m \sqrt {c-c \sin (e+f x)} (A+C \sin ^2(e+f x)) \, dx\) [3]
  3.1.4 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{A+C \sin ^2(e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\) [7]
  3.1.8 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n (A+C \sin ^2(e+f x)) \, dx\) [8]
  3.1.9 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n (A+C \sin ^2(e+f x)) \, dx\) [9]
  3.1.10 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (A+C \sin ^2(e+f x)) \, dx\) [10]
  3.1.11 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} (A+C \sin ^2(e+f x)) \, dx\) [11]
  3.1.12 \(\int (a+a \sin (e+f x))^m \sqrt {c+d \sin (e+f x)} (A+C \sin ^2(e+f x)) \, dx\) [12]
  3.1.13 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{\sqrt {c+d \sin (e+f x)}} \, dx\) [13]
  3.1.14 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\) [14]
  3.1.15 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{5/2}} \, dx\) [15]
  3.1.16 \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)+C \sin ^2(e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\) [16]
  3.1.17 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [17]
  3.1.18 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [18]
  3.1.19 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [19]
  3.1.20 \(\int (a+a \sin (e+f x))^m \sqrt {c-c \sin (e+f x)} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [20]
  3.1.21 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [21]
  3.1.22 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [22]
  3.1.23 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [23]
  3.1.24 \(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^{-2-m} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [24]
  3.1.25 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [25]
  3.1.26 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{-2-m} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [26]
  3.1.27 \(\int (a+a \sin (e+f x))^m (c+d \sin (e+f x))^{3/2} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [27]
  3.1.28 \(\int (a+a \sin (e+f x))^m \sqrt {c+d \sin (e+f x)} (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [28]
  3.1.29 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sqrt {c+d \sin (e+f x)}} \, dx\) [29]
  3.1.30 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{3/2}} \, dx\) [30]
  3.1.31 \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x))}{(c+d \sin (e+f x))^{5/2}} \, dx\) [31]
  3.1.32 \(\int (a+b \sin (c+d x)) (A+B \sin (c+d x)+C \sin ^2(c+d x)) \, dx\) [32]
  3.1.33 \(\int \genfrac {}{}{}{}{(a+b \sin (e+f x)) (A+B \sin (e+f x)+C \sin ^2(e+f x))}{\sin ^{\genfrac {}{}{}{}{3}{2}}(e+f x)} \, dx\) [33]
  3.1.34 \(\int (a+b \sin (e+f x))^m (c+d \sin (e+f x))^n (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [34]