LOS METODOS DE INTEGRACION 
13 
A f 2 cx + b 
2c / a + bxtcx 2 
+ 
( B — ~ '] f T 
\ 2 c jJ x a + bx + cx - 
A T , _ _ n / t~v Ab 
~L(a + bx + cx 2 ) + ( I) - - T — 0 . 
' - c / ]/4ac — b 2 ]/4ac — b 1 
2 2cx + b 
=^arctg‘ 
(Todhanter, 14) 
19. 
ax + b 
x 2 4px + q 
a 2x + p — p , 1 
+ b-^ 
2 x' 2 + px+q x 2 +px + q 
-( 
a p 
_J +^f — 
x 3 +p x + q 2 J x x 2 
2x+p 
+ px+q 
v. a P \ 2 art f-o- _ 2 ?±P_ 
2 jy^pT alttS /4q-p2 
+ — L ( x2 +P x+q) • (Gregory, 251) 
20. 
/,■ 
3 x 4 — 6 x 2 -4~l 
x 2 — 2x + 2 
o * 1 — 12 x \ 
3x 2 + bx + — - — — 
x 2 — 2x + 2 J 
= x 3 -f3 x 2 — 6 L (x 2 — 2x+2)+ll arc tg (x— 1). 
(Timmermans, 259) 
Ax + B 
21. f 
J (x - a 
(x-a) 2 + F 
rador: 
d x . Agreguemos a — a = o al nume- 
Ax + B . X -} - a — a 
= A-, NO — + 
B 
(x — a) 2 + S' 2 (x— a) 2 + /3 2 (x — a) 2 + f3‘ 
