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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