(a)[3]
Express $f(x)$ as partial fractions.
(b)[4]
Hence evaluate $\int_{1}^{2} f(x)\,dx$, and present your answer in the form $\ln\left(\frac{a}{b}\right)$, where $a$ and $b$ are integers.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)$ by $f(x) = \frac{15 - 6x}{(1 + 2x)(4 - x)}$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or suggest the form $\frac{A}{1+2x}+\frac{B}{4-x}$ and apply a correct method” …
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