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

Question

Philoid · Accepted Answer

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

Let xⁿ = t

x^n-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,

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