(a)[3]
Work out the quotient when $p(x)$ is divided by $(3x + 2)$, and show that the remainder comes to $6$.
(b)[5]
Determine the value of $\int_0^2 \frac{p(x)}{3x + 2}\,dx$, and give your answer in the form $a + \ln b$ with $a$ and $b$ integers.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The polynomial $p(x)$ is given by $p(x) = 9x^3 + 18x^2 + 5x + 4$.