3.1 Integrals 1 to 19
\(\int \sin ^m(e+f x) (1+m-(2+m) \sin ^2(e+f x)) \, dx\) [1]
\(\int \sin ^5(e+f x) (6-7 \sin ^2(e+f x)) \, dx\) [2]
\(\int \sin ^4(e+f x) (5-6 \sin ^2(e+f x)) \, dx\) [3]
\(\int \sin ^3(e+f x) (4-5 \sin ^2(e+f x)) \, dx\) [4]
\(\int \sin ^2(e+f x) (3-4 \sin ^2(e+f x)) \, dx\) [5]
\(\int \sin (e+f x) (2-3 \sin ^2(e+f x)) \, dx\) [6]
\(\int (1-2 \sin ^2(e+f x)) \, dx\) [7]
\(\int -\sin (e+f x) \, dx\) [8]
\(\int -\csc ^2(e+f x) \, dx\) [9]
\(\int \csc ^3(e+f x) (-2+\sin ^2(e+f x)) \, dx\) [10]
\(\int \csc ^4(e+f x) (-3+2 \sin ^2(e+f x)) \, dx\) [11]
\(\int \csc ^5(e+f x) (-4+3 \sin ^2(e+f x)) \, dx\) [12]
\(\int (a+a \sin (e+f x))^m (A+C \sin ^2(e+f x)) \, dx\) [13]
\(\int (a+b \sin (e+f x))^m (A-A \sin ^2(e+f x)) \, dx\) [14]
\(\int (a+b \sin (e+f x))^m (A+C \sin ^2(e+f x)) \, dx\) [15]
\(\int \sin ^5(e+f x) (A+C \sin ^2(e+f x)) \, dx\) [16]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [17]
\(\int (a+b \sin (e+f x))^m (A+(A+C) \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [18]
\(\int (a+b \sin (e+f x))^m (A+B \sin (e+f x)+C \sin ^2(e+f x)) \, dx\) [19]