3.1.1 \(\int \sin ^m(e+f x) (1+m-(2+m) \sin ^2(e+f x)) \, dx\) [1]
  3.1.2 \(\int \sin ^5(e+f x) (6-7 \sin ^2(e+f x)) \, dx\) [2]
  3.1.3 \(\int \sin ^4(e+f x) (5-6 \sin ^2(e+f x)) \, dx\) [3]
  3.1.4 \(\int \sin ^3(e+f x) (4-5 \sin ^2(e+f x)) \, dx\) [4]
  3.1.5 \(\int \sin ^2(e+f x) (3-4 \sin ^2(e+f x)) \, dx\) [5]
  3.1.6 \(\int \sin (e+f x) (2-3 \sin ^2(e+f x)) \, dx\) [6]
  3.1.7 \(\int (1-2 \sin ^2(e+f x)) \, dx\) [7]
  3.1.8 \(\int -\sin (e+f x) \, dx\) [8]
  3.1.9 \(\int -\csc ^2(e+f x) \, dx\) [9]
  3.1.10 \(\int \csc ^3(e+f x) (-2+\sin ^2(e+f x)) \, dx\) [10]
  3.1.11 \(\int \csc ^4(e+f x) (-3+2 \sin ^2(e+f x)) \, dx\) [11]
  3.1.12 \(\int \csc ^5(e+f x) (-4+3 \sin ^2(e+f x)) \, dx\) [12]
  3.1.13 \(\int (a+a \sin (e+f x))^m (A+C \sin ^2(e+f x)) \, dx\) [13]
  3.1.14 \(\int (a+b \sin (e+f x))^m (A-A \sin ^2(e+f x)) \, dx\) [14]
  3.1.15 \(\int (a+b \sin (e+f x))^m (A+C \sin ^2(e+f x)) \, dx\) [15]
  3.1.16 \(\int \sin ^5(e+f x) (A+C \sin ^2(e+f x)) \, dx\) [16]
  3.1.17 \(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [17]
  3.1.18 \(\int (a+b \sin (e+f x))^m (A+(A+C) \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [18]
  3.1.19 \(\int (a+b \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [19]