2023 SCSS P1 Q6

2023 SCSS P1 Q6

Secondary 4
6 marks
  1. Differentiate \(\dfrac1{(1-x^2)^3}\).[2]
  2. Hence evaluate \(\displaystyle\int_0^{1/2}\dfrac{x}{(1-x^2)^4}\,\mathrm{d}x\).[4]

Solution:

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Answer:(i) \(\dfrac{6x}{(1-x^2)^4}\). (ii) \(\dfrac{37}{162}\).

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