2025 SMBSS P1 Q10

2025 SMBSS P1 Q10

Secondary 4
5 marks
  1. Given that \(\mathrm{f}'(x)=3x^2+4x-4\) and \(\mathrm{f}(1)=5\), find \(\mathrm{f}(x)\).[3]
  2. Hence find the value of \(\displaystyle\int_1^2\mathrm{f}(x)\,\mathrm{d}x\).[2]

Solution:

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Answer:(a) \(\mathrm{f}(x)=x^3+2x^2-4x+6\). (b) \(\dfrac{101}{12}\).

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