(i)[4]
Express $f(x)$ as $A + \dfrac{B}{x + 2} + \dfrac{C}{2x - 1}$.
(ii)[5]
Hence demonstrate that $\int_1^4 f(x)\,dx = 6 + \frac{1}{2} \ln\left(\frac{16}{7}\right)$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Define $f(x)$ by $\dfrac{4x^2 + 9x - 8}{(x + 2)(2x - 1)}$.