Logarithmic integral between one and e

Logarithmic integral between one and e

Secondary 4

7 marks

Original parallel to supplied A Math integration references

Show that \(\dfrac{\mathrm{d}}{\mathrm{d}x}[(2x+1)\ln x]=2\ln x+2+\dfrac1x\).[3]
Hence evaluate \(\displaystyle\int_1^{\mathrm{e}}\ln x\,\mathrm{d}x\).[4]

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Answer:\(1\)

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