112 
MEMORIAS CIETmTIFICAS I LITER ARIAS 
10. J sec 3 xdx. Sea u=secx . • . d u =secx tgx dx 
d v=sec 2 x d x . * . v=tg x . 
/ sec 3 x d x = sec x tg x — f sec x tg 2 x d x 
^sen x tg x— / sec 3 x dx+ / secx d x 
Trasponemos 
f sec 3 x d x 
i reducimos: 
/ sec 3 x dx = i /sec x tg x + L] / 1 + sen x 
^ \ \ 1 — sen x 
11. / x m L x d x . 
u=L x du = 
d v=x m d x . • . v = 
d x 
x 
X m + 1 
m + 1 
r x m + l /■ Yin + l 
/ x m L x d X— — — -- Lx—/ "7 - d 2 
./ m+1 J (m-hl)x 
X^ + l 
m + 
H--i) 
(Davies, Peck, 177) 
70. Elimination por reduction . — Si despues de aplicar la 
formula 
/ u d v=u v— / v d u, 
