(i)[3]
Find the quotient and remainder after dividing $2x^3 + x^2 - 8x$ by $(2x + 1)$.
(ii)[5]
Hence find the exact value of $\int_{0}^{3} \frac{2x^3 + x^2 - 8x}{2x + 1} \, dx$, and give your answer in the form $\ln(ke^a)$, where $k$ and $a$ are constants.