Q12 of 271 Page 322

Integrate the rational functions.


Dividing (x3 + x + 1) by x2 -1, we get,



Let


Now, 2x + 1 = A(x – 1) + B(x + 1) …(1)


Substituting x = 1 and -1 in equation (1), we get,


A = and B =


Thus,




More from this chapter

All 271 →
10

Integrate the rational functions.

 11

Integrate the rational functions.

 13

Integrate the rational functions.

 14

Integrate the rational functions.