2025 IGCSE Additional Mathematics October/November 0606/22 Q7

2025 IGCSE Additional Mathematics October/November 0606/22 Q7

6 marks
  1. Given that \(y=x\cos2x\), find \(\dfrac{\mathrm dy}{\mathrm dx}\).[2]
  2. Hence find \(\int x\sin2x\,\mathrm dx\).[4]

Solution:

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Answer:(a) \(\cos2x-2x\sin2x\) (b) \(\dfrac14\sin2x-\dfrac12x\cos2x+C\)

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