Integrate the rational functions.

[**Hint:** multiply numerator and denominator by x^{n-1} and put x^{n}=t]

Multiplying numerator and denominator by x^{n-1}, we get,

Let x^{n} = t

x^{n-1}dx = 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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