(a)[3]
Find the quotient and remainder after dividing $8x^3 + 4x^2 + 2x + 7$ by $4x^2 + 1$.
(b)[5]
Hence find the exact value of the integral $\int_{0}^{\frac{1}{2}} \frac{8x^3 + 4x^2 + 2x + 7}{4x^2 + 1}\,dx$.
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: “Begin the division and arrive at a quotient of the form $2x+1$.” …
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