(i)[5]
Write $f(x)$ as partial fractions.
(ii)[5]
Hence, with all necessary working shown, show that $\displaystyle \int_{-1}^{0} f(x)\,dx = 1 + \frac{1}{2}\ln\left(\frac{3}{4}\right)$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Take $f(x)$ to be $\frac{6x^2 + 8x + 9}{(2 - x)(3 + 2x)^2}$.
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 form $\dfrac{A}{2-x}+\dfrac{B}{3+2x}+\dfrac{C}{(3+2x)^2}$” …
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