9709 P33 - Jun 2017 - Q9
2104
Let \(f(x) = \frac{3x^2 - 4}{x^2(3x + 2)}\).
(i) Express \(f(x)\) in partial fractions.
(ii) Hence show that \(\int_1^2 f(x) \, dx = \ln\left(\frac{25}{8}\right) - 1\).
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