614 
MEMOKIAS CIENTIFICAS I LITEEAEIAS 
Ejercicios 
i. /a cos a X d X = / cos a x d a x = / cos u d u = sen a x 
.. I X 1 X 
11 . / — sen - — • — d x= — cos — 
a a a 
iii. sec" (a + x) - tg- (a + x) 
iv. /x cosec" (ax*+t>x c) (2ax-fb) = cot (ax"-|-bx -b c' 
V. / 3 sen"x cos x d x = 3 / sen"x d sen x = sen^x 
V. /cotx = / 
cos X 
sen X 
, r d sen x 
d X = / = L sen x 
sen X 
38. Integrales circuJares . — En la diferenciacion de las fun 
clones hemos encontrado: 
dare sen x = (l — x") "Fd x, d arc cos x^ 
(1-'X‘^) 2 dx,etc. 
h 
d X 
y 1 — x‘^ 
= arc sen x = — arc cos x 
/■ 
jd 
arc tg X = — arc cot x 
/• 
dx 
X ]/x^ — 1 
= arc sec x = — arc cosec x 
