Integrate the function:


Given:

Let


Using partial differentiation:


let




1 = A – Ax2 + Bx – Bx2 + Cx + Cx2


1 = A + (B+C)x + (-A-B+C)x2


Equating the coefficients of x, x2 and constant value. We get:


(a) A = 1


(b) B+C = 0 B = -C


(c) -A –B +C =0


-1 – (-C) +C = 0


2C = 1 C = 1/2


So, B = -1/2


Put these values in equation (1)











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