2026 IGCSE Additional Mathematics May/June 0606/23 Q10

2026 IGCSE Additional Mathematics May/June 0606/23 Q10

6 marks
  1. Differentiate \(x\sin(2x-3)\) with respect to \(x\).[2]
  2. Hence find \(\int_0^{1/2}x\cos(2x-3)\,\mathrm dx\).[4]

Solution:

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Answer:(a) \(\sin(2x-3)+2x\cos(2x-3)\) (b) \(\dfrac{\cos2-\sin2-\cos3}{4}\approx-0.0839\).

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