(i)[3]
Find the quotient and remainder when $2x^3 + x^2 - 8x$ is divided by $(2x + 1)$.
(ii)[5]
Hence determine the exact value of $\int_{0}^{3} \frac{2x^3 + x^2 - 8x}{2x + 1}\, dx$, with the answer written in the form $\ln(k e^{a})$ where $k$ and $a$ are constants.