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