June 2023 Paper 2 Q2

2 It is given that

\[\int_0^6 \mathrm{f}(x)\,\mathrm{d}x = 20 \quad \text{and} \quad \int_3^6 \mathrm{f}(x)\,\mathrm{d}x = -10\]

Find the value of \(\displaystyle\int_0^3 \mathrm{f}(x)\,\mathrm{d}x\)

Circle your answer. [1 mark]

• \(-30\)
• \(-10\)
• \(10\)
• \(30\)