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Integrate the rational functions.
Dividing (x3 + x + 1) by x2 -1, we get,
Now, 2x + 1 = A(x – 1) + B(x + 1) …(1)
Substituting x = 1 and -1 in equation (1), we get,
A = and B =
[Hint: multiply numerator and denominator by xn-1 and put xn=t]
[Hint: Put ex = t]