Linear factor with a positive exponential

Linear factor with a positive exponential

Secondary 4

7 marks

Original parallel to supplied A Math integration references

Differentiate \(\mathrm{e}^{2x}(3-2x)\) with respect to \(x\).[3]
Hence evaluate the exact value of \(\displaystyle\int_0^1x\mathrm{e}^{2x}\,\mathrm{d}x\).[4]

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Answer:\(\dfrac{\mathrm e^2+1}{4}\)

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