(a)[5]
Express $f(x)$ as partial fractions.
(b)[5]
Find the exact value of $\int_0^4 f(x)\,dx$, and give the result as a single logarithm.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)$ by $f(x) = \dfrac{4 - x + x^2}{(1 + x)(2 + x^2)}$.
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 fractions structure $\dfrac{A}{1+x}+\dfrac{Bx+C}{2+x^2}$.” …
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