Integrate the rational functions.
Let 
⇒ x = A(x - 1)(x + 2) + B(x + 2) + C( x – 1)2 …(1)
Substituting x = -1 in equation (1), we get,
B = 
Equating the coefficients of x2 and constant term, we get,
A + C = 0
-2A + 2B + C = 0
A = 
and c = 
Thus,
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