3.1 \(\int \sin ^m(e+f x) (1+m-(2+m) \sin ^2(e+f x)) \, dx\)
 3.2 \(\int \sin ^5(e+f x) (6-7 \sin ^2(e+f x)) \, dx\)
 3.3 \(\int \sin ^4(e+f x) (5-6 \sin ^2(e+f x)) \, dx\)
 3.4 \(\int \sin ^3(e+f x) (4-5 \sin ^2(e+f x)) \, dx\)
 3.5 \(\int \sin ^2(e+f x) (3-4 \sin ^2(e+f x)) \, dx\)
 3.6 \(\int \sin (e+f x) (2-3 \sin ^2(e+f x)) \, dx\)
 3.7 \(\int (1-2 \sin ^2(e+f x)) \, dx\)
 3.8 \(\int -\sin (e+f x) \, dx\)
 3.9 \(\int -\csc ^2(e+f x) \, dx\)
 3.10 \(\int \csc ^3(e+f x) (-2+\sin ^2(e+f x)) \, dx\)
 3.11 \(\int \csc ^4(e+f x) (-3+2 \sin ^2(e+f x)) \, dx\)
 3.12 \(\int \csc ^5(e+f x) (-4+3 \sin ^2(e+f x)) \, dx\)
 3.13 \(\int (a+a \sin (e+f x))^m (A+C \sin ^2(e+f x)) \, dx\)
 3.14 \(\int (a+b \sin (e+f x))^m (A-A \sin ^2(e+f x)) \, dx\)
 3.15 \(\int (a+b \sin (e+f x))^m (A+C \sin ^2(e+f x)) \, dx\)
 3.16 \(\int \sin ^5(e+f x) (A+C \sin ^2(e+f x)) \, dx\)
 3.17 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.18 \(\int (a+b \sin (e+f x))^m (A+(A+C) \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)
 3.19 \(\int (a+b \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\)