2025 NASS P2 Q2

2025 NASS P2 Q2

Secondary 4
8 marks
  1. Show that \(\dfrac{\mathrm d}{\mathrm dx}\left(\dfrac{\cos2x}{1+\sin2x}\right)=-\dfrac2{1+\sin2x}\).[4]
  2. Hence find \(\displaystyle\int_0^{\dfrac\pi4}\dfrac1{8(1+\sin2x)}\,\mathrm dx\).[4]

Solution:

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Answer:(a) \(-\dfrac2{1+\sin2x}\); (b) \(\dfrac1{16}\).

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