2025 SCGS PRELIMS P1 Q3

2025 SCGS PRELIMS P1 Q3

Secondary 4

7 marks

Find \(\dfrac{d}{dx}\big[(2x-3)e^{2x}\big]\).[3]
Hence evaluate \(\displaystyle \int_0^1 4xe^{2x}\, dx\), giving your answers in exact form.[4]

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Answer:(a) \(4(x-1)e^{2x}\) (b) \(e^2+1\)

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