Find ${\displaystyle \displaystyle\int xe^{2x} \mathrm{d}x}$.[3] Hence find the exact value of \({

Question

Find ${\displaystyle \displaystyle\int xe^{2x} \mathrm{d}x}$.[3] Hence find the exact value of ${\displaystyle \displaystyle\int_{-1}^{1} \left|x\right|e^{2x} \mathrm{d}x}$.[3]

Accepted Answer

$\frac{1}{2} - \frac{3}{4}e^{-2} + \frac{1}{4}e^2$

2024 MI PRU2 P1 Q3

2024 MI PRU2 P1 Q3

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