2025 ESSS P1 Q10

2025 ESSS P1 Q10

Secondary 4
6 marks
  1. Show \(\dfrac{\mathrm{d}}{\mathrm{d}x}\left[(2x+5)\sqrt{4x-5}\right]=\dfrac{12x}{\sqrt{4x-5}}\).[2]
  2. Hence, evaluate \(\displaystyle\int_2^4\dfrac{6x}{\sqrt{4x-5}}\,\mathrm{d}x\), giving your answer correct to 2 decimal places.[4]

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Answer:(a) \(\dfrac{12x}{\sqrt{4x-5}}\) (shown). (b) \(13.76\) (2 d.p.).

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