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A-LevelMathematicsIntegration9709/21 · Oct/Nov 2021 · Q14 Marks

Find the exact value of ∫₋₁² (4e²ˣ - 2e⁻ˣ) dx.

  1. Find the exact value of ∫₋₁² (4e²ˣ - 2e⁻ˣ) dx.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [B1] Integrate to obtain 2e²ˣ
  2. [B1] Integrate to obtain 2e⁻ˣ
  3. [M1] Apply limits correctly to integral of the form k₁e²ˣ + k₂e⁻ˣ
  4. [A1] Obtain 2e⁴ + 2e⁻² - (2e⁻² + 2e) or exact equivalent.

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2021 Paper 2 Variant 1, question 1.

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