Integrate the rational functions.


On dividing 1 – x2 by x(1 - 2x), we get,


…(1)


Now, let


(2 – x) = A(1 – 2x) + Bx …(2)


Now, substituting x = 0 and in equation (2), we get,


A = 2 and B = 3


Thus,


Now, putting this value in equation (2), we get,






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