2025 WGS P2 Q5

2025 WGS P2 Q5

Secondary 4
5 marks
  1. Differentiate \((5-x^2)^7\) with respect to \(x\).[2]
  2. Hence, find \(\displaystyle\int x(5-x^2)^6\,\mathrm{d}x\).[3]

Solution:

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Answer:(a) \(-14x(5-x^2)^6\). (b) \(-\dfrac1{14}(5-x^2)^7+C\).

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