2024 IGCSE Additional Mathematics October/November 0606/23 Q6

2024 IGCSE Additional Mathematics October/November 0606/23 Q6

5 marks
  1. Find \(\displaystyle\int\dfrac1{\sqrt{3x+2}}\,\mathrm{d}x\).[2]
  2. Find, in terms of \(a\), \(\displaystyle\int_{0.5}^a\mathrm{e}^{1-2x}\,\mathrm{d}x\).[3]

Solution:

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Answer:(a) \(\dfrac23\sqrt{3x+2}+C\). (b) \(\dfrac{1-\mathrm{e}^{1-2a}}2\).

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