(a)[3]
Determine the quotient when $p(x)$ is divided by $(4x - 3)$, and show that the remainder is $2$.
(b)[6]
Hence evaluate $\int_{2}^{12} \left( \frac{p(x)}{4x - 3} - 3x^2 \right)\, dx$, giving your answer in the form $a + \ln b$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The polynomial $p(x)$ is given by $p(x) = 12x^3 - 9x^2 + 8x - 4$.