# Integrate the rational functions. [Hint: multiply numerator and denominator by xn-1 and put xn=t]

Multiplying numerator and denominator by xn-1, we get,

Let xn = t

xn-1dx = dt

Therefore,

Let

1 = A(1+t) + Bt ...(1)

Substituting t = 0, -1 in equation (1), we get,

A =1 and B = -1

Thus,

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