(i)[5]
Express $f(x)$ as a sum of partial fractions.
(ii)[5]
Show that $\int_1^2 f(x)\,dx$ is equal to $\frac{1}{4} + \ln\left(\frac{9}{4}\right)$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)$ by $f(x) = \frac{11x + 7}{(2x - 1)(x + 2)^2}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or make clear, that $f(x)=\frac{A}{2x-1}+\frac{B}{x+2}+\frac{C}{(x+2)^2}$” …
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