R (sin x, cos x) dx
x
tg = t Ò! x = 2 arctan t
2
2dt 2t 1 - t2
dx = sin x = cos x =
1 + t2 1 + t2 1 + t2

dx
sin x

dx
cos x

dx
4 + 3 sin x

dx
2 + cos x

2 + sin x
dx
(1 + cos x) sin x

dx
1 + sin x

dx
5 + 4 cos x

dx
1 - sin x

sin x
dx
1 - sin x

sin x - cos x
dx
(1 - cos x)2

dx
sin x + 1 + cos x

dx
sin 2x


x

ln tg + C

2


1 + tg (x/2)

ln + C

1 - tg (x/2)
2 3 + 4 tg (x/2)
" "
arctan + C
7 7
2 tg (x/2)
" "
arctan + C
3 3


x 1 x x

ln tg + tg2 + tg + C

2 2 2 2
-2
+ C
1 + tg(x/2)
x
2 tg
2
arctan + C
3 3
2
+ C
x
1 - tg
2
2
- x + C
x
1 - tg
2
1 1 1
- + - + C
x
2 tg2 x 6 tg3 x 2 tg
2 2 2