2026 CSS P1 Q2

2026 CSS P1 Q2

Secondary 4
4 marks
  1. Find \(\dfrac{\mathrm{d}}{\mathrm{d}x}\left(\sqrt{x^2+2x+3}\right)\).[2]
  2. Hence find \(\int\dfrac{5x+5}{\sqrt{x^2+2x+3}}\,\mathrm{d}x\).[2]

Solution:

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Answer:(a) \(\dfrac{x+1}{\sqrt{x^2+2x+3}}\). (b) \(5\sqrt{x^2+2x+3}+C\).

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