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9709 P32 - Nov 2019 - Q8
2099

Let \(f(x) = \frac{2x^2 + x + 8}{(2x - 1)(x^2 + 2)}\).

(i) Express \(f(x)\) in partial fractions.

(ii) Hence, showing full working, find \(\int_1^5 f(x) \, dx\), giving the answer in the form \(\ln c\), where \(c\) is an integer.

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