2025 IGCSE Additional Mathematics October/November 0606/11 Q7

2025 IGCSE Additional Mathematics October/November 0606/11 Q7

7 marks
  1. Differentiate \(\dfrac{\sin x+\cos x}{\mathrm e^{1-3x}}\) with respect to \(x\).[4]
  2. Find \(\int(1+\tan^23x)\,\mathrm dx\).[3]

Solution:

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Answer:(a) \(\mathrm e^{3x-1}(2\sin x+4\cos x)\) (b) \(\dfrac13\tan3x+C\)

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