(i)[5]
Write $f(x)$ in partial fractions form.
(ii)[5]
Show that $\int_{0}^{4} f(x)\,dx = 8 - \ln 3$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x) = \frac{4x^2 + 7x + 4}{(2x + 1)(x + 2)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or otherwise indicate, the form $A+\frac{B}{2x+1}+\frac{C}{x+2}$.” …
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