2025 IGCSE Additional Mathematics February/March 0606/12 Q7

2025 IGCSE Additional Mathematics February/March 0606/12 Q7

10 marks

The diagram shows part of the curve \(y=\dfrac5{x+1}+2\) and part of the line \(y=2x+1\) intersecting at the point \(A\).

  1. Find the coordinates of \(A\).[4]
  2. Find the exact area of the shaded region.[6]

Solution:

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Answer:(a) \(A\left(\dfrac32,4\right)\) (b) \(5\ln\dfrac52-\dfrac34\)

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