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Nov 2022 p33 q11
2120
Let \(f(x) = \frac{5-x+6x^2}{(3-x)(1+3x^2)}\).
(a) Express \(f(x)\) in partial fractions.
(b) Find the exact value of \(\int_0^1 f(x) \, dx\), simplifying your answer.
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