June 2024 Paper 2 Q2

2 The graph of \(y = \mathrm{f}(x)\) intersects the \(x\)-axis at \((-3, 0)\), \((0, 0)\) and \((2, 0)\) as shown in the diagram below.

The shaded region \(A\) has an area of 189

The shaded region \(B\) has an area of 64

Find the value of \(\displaystyle\int_{-3}^{2} \mathrm{f}(x)\,\mathrm{d}x\)

Circle your answer. [1 mark]

• \(-253\)
• \(-125\)
• \(125\)
• \(253\)