LOS METODOS DE INTEGRACION 
895 
y = 
dx 
ya- + b^ / a sen x 
= + — r 
b cos X 
l/a" + b" i/'a"+b'" 
Sea cos k= — ^ 
ya" 4-b^ 
1 - cos*'" k = 
b^ 
a^+b‘^ 
= sen-k 
.■■y=-7=^f 
i/a“ + b= J 
)/a== + b= J sen(x + k; 
d X -r X 4- k 
== L tg 
tgf+i-arccos-^;^ 
(Sturm, 358) 
/ a,».-x7bsea r-/- 
d X 
a cos^x + b sen‘^ 
dtg-x 
cos'^x (a 4- b tg2 x) 
1 
a + btg"x ^/ab 
arc tg 
(yi-’’" 
24. 
/- 
dx 
a sen x 4 b cos x 4- c 
Sea 
a = r sen a;, b = i] cos a, 
c — r 
^ c + r 
= it k^ . ■ . c = r 
dx 
l4-r- 
1— k^ 
d X 
“ (cos X- 
a 
lx 1 r 
, , 1+k^ ~ V , . , . 1 + k"’ 
^)+r ./ cos(x + a) + j^p- 
ojueda reducida al ejercicio 13 
(Tannery, II, 549) 
