2026 IGCSE Additional Mathematics May/June 0606/12 Q12

2026 IGCSE Additional Mathematics May/June 0606/12 Q12

11 marks

The diagram shows part of the curve \(y=\dfrac{10}{4x+1}\) and the line \(L\).

\(L\) passes through the points \((0,6)\) and \((1.5,0)\).

The curve and \(L\) intersect at the points \(P\) and \(Q\).

Find the exact area of the shaded region.[11]

Solution:

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Answer:\(\dfrac{21}{8}-\dfrac52\ln\left(\dfrac52\right)\) square units.

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