(a)[5]
Express $f(x)$ in partial fractions form.
(b)[5]
Find the exact value of $\int_0^1 f(x)\,dx$ and simplify the result.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Take $f(x) = \dfrac{5 - x + 6x^2}{(3 - x)(1 + 3x^2)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or show the form $\frac{A}{3-x}+\frac{Bx+C}{1+3x^2}$” …
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