9709 P3 - Jun 2002 - Q6
2118
Let \(f(x) = \frac{4x}{(3x+1)(x+1)^2}\).
(i) Express \(f(x)\) in partial fractions.
(ii) Hence show that \(\int_0^1 f(x) \, dx = 1 - \ln 2\).
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