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Let
x = A(x – 2) + B(x - 1) …(1)
Substituting x =1 and 2 in (1), we get,
A = -1 and B = 2
= -log|x – 1| + 2log| x – 2| + C
Integrate the rational functions.
[Hint: multiply numerator and denominator by xn-1 and put xn=t]
[Hint: Put ex = t]