2026 MSHS P1 Q3

2026 MSHS P1 Q3

Secondary 4
7 marks
  1. Differentiate \(y=\dfrac{\ln x}{x}\) with respect to \(x\).[3]
  2. Hence find \(\displaystyle\int_1^{\mathrm e}-\dfrac{\ln x}{x^2}\,\mathrm{d}x\).[4]

Solution:

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Answer:(a) \(\dfrac{1-\ln x}{x^2}\). (b) \(\dfrac2{\mathrm e}-1=-0.264\) (3 s.f.).

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