2024 IGCSE Additional Mathematics May/June 0606/22 Q2

2024 IGCSE Additional Mathematics May/June 0606/22 Q2

7 marks
  1. Evaluate \(\displaystyle\int_{\frac\pi3}^{\frac\pi2}\cos\dfrac x4\,\mathrm{d}x\). You must show all your working.[4]
  2. Find \(\displaystyle\int\left(\dfrac1{4x-3}+\dfrac1{x^3}\right)\mathrm{d}x\).[3]

Solution:

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Answer:(a) \(0.495\) (3 s.f.). (b) \(\dfrac14\ln|4x-3|-\dfrac1{2x^2}+C\).

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