(i)[5]
Write $f(x)$ as a sum of partial fractions.
(ii)[5]
Hence evaluate $\int_0^4 f(x)\,dx$, giving your answer in the form $\ln c$, where $c$ is an integer.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Take $f(x) = \frac{5x^2 + x + 27}{(2x + 1)(x^2 + 9)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write or indicate the form $\dfrac{A}{2x+1}+\dfrac{Bx+C}{x^2+9}$” …
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