9709 P33 - Jun 2015 - Q10
2106
Let \(f(x) = \frac{11x + 7}{(2x - 1)(x + 2)^2}\).
(i) Express \(f(x)\) in partial fractions.
(ii) Show that \(\int_1^2 f(x) \, dx = \frac{1}{4} + \ln\left(\frac{9}{4}\right)\).
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