2023 ASRJC Promo Q5

2023 ASRJC Promo Q5

3 marks
Promo
  1. If \(k>2\), find \(\mathop{\displaystyle\displaystyle \displaystyle\int }_{0}^{k}\left| {{\mathrm{e}}^{x}}-2 \right|\,\mathrm{d}x\) in terms of \(k\). Leave your answer in exact form.[3]

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Answer:(b) \({4\ln 2-3+{{\mathrm{e}}^{k}}-2k}\)

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