9709 P32 - Jun 2022 - Q8
2122
Let \(f(x) = \frac{x^2 + 9x}{(3x - 1)(x^2 + 3)}\).
(a) Express \(f(x)\) in partial fractions.
(b) Hence find \(\int_1^3 f(x) \, dx\), giving your answer in a simplified exact form.
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