LOS METODOS DE INTEGRA CION 
39 
4 n 
(2 n x-j-sen 2 n x) 
12. / sen :i x = *4 ”/ (3 sen x — sen 3 x 
(3 cos x4- ~r cos 3 x) 
4 3 
= — sen -x cos x — — - cos x 
3 o 
(Peacock, 311) 
13. f x sec 4 x = f sec 2 x sec' 2 x d x = f (1 + tg 2 x) cl U 
tgx 4- - 0 - t g*x. 
o 
(Roberts, 8) 
r t r 
14. J sen 5 x = — — J (sen 5 x — 5 sen 3 x -f 10 sen s 
1 ( 1 ' ■ , 5 a 
-rrr{ — - - COS 5x3 — COS 3 X 
lb V 5 3 
15 . 
1 
sen x 
dx. (Jarrett, 124) 
1 _ sen x _ sen x 
sen x sen 2 x 1- cos 2 x 
) 
10 cos x 
Descompongamos esta fraccion en fracciones parciales: 
