9709 P32 - Mar 2022 - Q8
1798
(a) Find the quotient and remainder when \(8x^3 + 4x^2 + 2x + 7\) is divided by \(4x^2 + 1\).
(b) Hence find the exact value of \(\int_0^{\frac{1}{2}} \frac{8x^3 + 4x^2 + 2x + 7}{4x^2 + 1} \, dx\).
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