(a)[5]
Express $f(x)$ in partial fractions.
(b)[6]
Hence find the exact value of $\int_0^2 f(x)\,dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)$ as $\dfrac{7x + 18}{(3x + 2)(x^2 + 4)}$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the partial-fraction form $\dfrac{A}{3x+2}+\dfrac{Bx+C}{x^2+4}$” …
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