2025 PHS PRELIMS P1 Q1

2025 PHS PRELIMS P1 Q1

Secondary 4
5 marks
2025 Presbyterian High School Prelims A Math Paper 1
  1. Differentiate \(\ln \left( \frac{3x}{x^2+1} \right)\) with respect to \(x\).[3]
  2. Hence find \(\int \frac{2x}{x^2+1}\, dx\).[2]

Solution:

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Answer:(a) \(\frac{1-x^2}{x(x^2+1)}\) (b) \(\ln(x^2+1)+C\)

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