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2026 CCHY P2 Q3
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2026 CCHY P2 Q3
Secondary 4
7 marks
Given that \(y=\dfrac{(2x+1)\sin2x}{4}\), show that \(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{(2x+1)\cos2x+\sin2x}{2}\).
[2]
Hence find the exact value of \(\displaystyle\int_0^{\pi/4}(2x+1)\cos2x\,\mathrm{d}x\).
[5]
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Answer:
(a) Shown. (b) \(\dfrac\pi4\).
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