Linear factor with a negative exponential

Linear factor with a negative exponential

Secondary 4

6 marks

Original parallel to supplied A Math integration references

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

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Answer:\(1-\dfrac2{\mathrm e}\)

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