2025 ASRJC Promo Q1

2025 ASRJC Promo Q1

Junior College 1
5 marks
  1. Find \(\int \left(\cosec 2x \cot 2x - \frac{1}{\sqrt{9 - 4x^2}}\right)\, dx\).[2]
  2. Find the exact value of \(\int_0^3 |x^2 - x|\, dx\). Show your workings clearly.[3]

Solution:

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Answer:(a) \(-\dfrac12\cosec 2x-\dfrac12\sin^{-1}\left(\dfrac{2x}{3}\right)+C\) (b) \(\dfrac{29}{6}\)

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