2026 AHS P2 Q7

2026 AHS P2 Q7

Secondary 4
5 marks
  1. Given that \(y=3xe^{1-2x}\), find \(\dfrac{\mathrm{d}y}{\mathrm{d}x}\).[2]
  2. Hence find \(\displaystyle\int xe^{1-2x}\,\mathrm{d}x\).[3]

Solution:

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Answer:(a) \(3e^{1-2x}-6xe^{1-2x}\). (b) \(-\dfrac{2x+1}{4}e^{1-2x}+C\).

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