(a) Express 9x+11/(2x+3)(x-1) as partial fractions and (b) find the integral of 9x+11/(2x+3)(x-1) with respect to x
(a) 9x+11/(2x+3)(x-1) = A/2x+3 + B/x-1
9x+11 = (x-1)A + (2x+3)B
Setting x=1 gives B=4, setting x=-3/2 gives A=1
so the final answer is 1/(2x+3) + 4/(x-1)
(b) 1/2ln|2x+3| + 4ln|x-1| + c
AT
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