(a)[5]
Express $f(x)$ as a partial fraction decomposition.
(b)[5]
Therefore show that $\int_{0}^{1} f(x)\,dx = \dfrac{5}{2} - \ln 72$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x) = \dfrac{2x^2 + 17x - 17}{(1 + 2x)(2 - x)^2}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the partial fraction form $\frac{A}{1+2x}+\frac{B}{2-x}+\frac{C}{(2-x)^2}$, or an equivalent version.” …
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