(i)[5]
Express $f(x)$ in partial fractions.
(ii)[5]
Hence, with full working shown, find $\int_{1}^{5} f(x)\,dx$, giving your answer in the form $\ln c$, where $c$ is an integer.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Let $f(x) = \dfrac{2x^2 + x + 8}{(2x - 1)(x^2 + 2)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or indicate the form $\frac{A}{2x-1}+\frac{Bx+C}{x^2+2}$” …
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