2024 IGCSE Additional Mathematics May/June 0606/13 Q4

2024 IGCSE Additional Mathematics May/June 0606/13 Q4

5 marks

Find \(\displaystyle\int_0^2\left(1+\mathrm{e}^{2x}\right)^2\,\mathrm{d}x\), giving your answer in exact form.[5]

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Answer:\(\dfrac34+\mathrm{e}^4+\dfrac14\mathrm{e}^8\)

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