Find $\frac{\mathrm{d}}{\mathrm{d}x}(2x-3)\mathrm{e}^{2x}$.[3] Hence evaluate \(\int_{0}^{1} 4x\ma

Question

Find $\frac{\mathrm{d}}{\mathrm{d}x}(2x-3)\mathrm{e}^{2x}$.[3] Hence evaluate $\int_{0}^{1} 4x\mathrm{e}^{2x} \, \mathrm{d}x$, giving your answers in exact form.[4]

Accepted Answer

(a) $4e^{2z}(x-1)$ (b) $e^2+1$

2025 SCGS PRELIMS P1 Q3

2025 SCGS PRELIMS P1 Q3