2025 SMBSS P1 Q12

2025 SMBSS P1 Q12

Secondary 4
6 marks
  1. Differentiate \((2\sqrt x-3)^7\).[2]
  2. Hence find \(\displaystyle\int_1^4\dfrac{\sqrt x(2\sqrt x-3)^6}{x}\,\mathrm{d}x\).[4]

Solution:

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Answer:(a) \(\dfrac{7(2\sqrt x-3)^6}{\sqrt x}\). (b) \(\dfrac27\).

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