(a)[3]
Express $f(x)$ in partial fraction form.
(b)[4]
Hence establish that $\displaystyle \int_a^{2a} f(x)\,dx = \ln 6$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x) = \dfrac{5a}{(2x - a)(3a - x)}$, with $a$ as a positive constant.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use a suitable method to determine constants $A$ and $B$ so that $\frac{5a}{(2x-a)(3a-x)}=\frac{A}{2x-a}+\frac{B}{3a-x}$” …
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