(a)[5]
Express $f(x)$ as a sum of partial fractions.
(b)[5]
Hence find the exact value of $\int_{0}^{4} f(x)\,dx$, and give your answer in the form $a + b\ln c$, where $a$, $b$ and $c$ are integers.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x) = \dfrac{3 - 3x^2}{(2x + 1)(x + 2)^2}$.
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 by implication, the partial fraction form $\frac{A}{2x+1}+\frac{B}{x+2}+\frac{C}{(x+2)^2}$.” …
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