9709 P32 - Mar 2016 - Q9
2092
Let \(f(x) = \frac{3x^3 + 6x - 8}{x(x^2 + 2)}\).
(i) Express \(f(x)\) in the form \(A + \frac{B}{x} + \frac{Cx + D}{x^2 + 2}\).
(ii) Show that \(\int_1^2 f(x) \, dx = 3 - \ln 4\).
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