(a)[3]
Determine the quotient and remainder when $2x^3 - x^2 + 6x + 3$ is divided by $x^2 + 3$.
(b)[5]
Using your answer to part (a), determine the exact value of $\int_{1}^{3} \frac{2x^3 - x^2 + 6x + 3}{x^2 + 3} \, dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the division and arrive at a quotient of the form $2x+k$” …
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