(a)[3]
Find the quotient when $p(x)$ is divided by $(3x + 2)$, and show that the remainder equals $6$.
(b)[5]
Find the value of $\int_{0}^{2} \frac{p(x)}{3x + 2}\, dx$, giving your answer in the form $a + \ln b$ where $a$ and $b$ are integers.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The polynomial $p(x)$ is given by $p(x) = 9x^3 + 18x^2 + 5x + 4$.