9709 P31 - Nov 2019 - Q8
2100
Let \(f(x) = \frac{x^2 + x + 6}{x^2(x+2)}\).
(i) Express \(f(x)\) in partial fractions.
(ii) Hence, showing full working, show that the exact value of \(\int_1^4 f(x) \, dx\) is \(\frac{9}{4}\).
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