LOS METODOS DE INTEGRACION 
23 
5 x-j-1 5+ 
3 5 x — 2 9 
x 2 -3x+2 
Descompongamos la nueva fraccion: 
35 x — 29 = A(x-2)+B.(x— 1). 
. A= -6, B = 41 
. y= / (ds+15- J± t+ ^)dx 
i x 2 +15 x - 6 L (x- L (x — 2); 
(Todhunter, II, 31) 
1 ABC 
X 3 — X 2 — x-j-1 X — 1 r (x-1) 2 ^~x+l * 
. . 1= A (x 2 - lj+B (x+ 1)+C (x - 1) 3 , 
sea x = 1 ? B. (1-jrl® 1 . ‘ - B = 
u 
sea x= — 1, C . 1 — 1) 2 = 1 . ' . C = -~- 
Diferenciemos ahora: 
0 = 2 A x+B-)-2 C (x -1) 
sea x = 1 . ■ . 0=2 A-f-B = 2 A+ ~ . . A= -4 
2 4 
