2026 NASS P1 Q12

2026 NASS P1 Q12

Secondary 4
6 marks
  1. Show that \(\dfrac{\mathrm{d}}{\mathrm{d}x}(\sin^3 2x)=6\sin^2 2x\cos2x\).[1]
  2. Hence find \(\displaystyle\int\cos^3 2x\,\mathrm{d}x\).[5]

Solution:

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Answer:(a) Derivative identity shown. (b) \(\dfrac12\sin2x-\dfrac16\sin^3 2x+C\).

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