(i)[5]
Express $f(x)$ as partial fractions.
(ii)[5]
Hence, with full working, show that the exact value of $\int_1^4 f(x)\,dx$ equals $\dfrac{9}{4}$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x) = \dfrac{x^2 + x + 6}{x^2(x + 2)}$.
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This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or indicate the form $\frac{A}{x}+\frac{B}{x^2}+\frac{C}{x+2}$” …
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