Q16 of 271 Page 322

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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