(i)[4]
Express $f(x)$ as $\frac{A}{2 - x} + \frac{Bx + C}{4 + x^2}$.
(ii)[5]
Show that $\int_0^1 f(x)\,dx=\ln\left(\frac{25}{2}\right)$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Take $f(x) = \frac{12 + 8x - x^2}{(2 - x)(4 + x^2)}$.