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A-LevelMathematicsIntegration9709/12 · Oct/Nov 2018 · Q24 Marks

Showing all necessary working, find ∫₁⁴ (√x + 2/√x) dx.

  1. (a)Showing all necessary working, find ∫₁⁴ (√x + 2/√x) dx.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [B1] Integrate → x^(3/2) / (3/2)
  2. [B1] + 2x^(1/2) / (1/2) (+C)
  3. [M1] Evidence of 4 and 1 used correctly in their integrand ie at least one power increased by 1.
  4. [A1] Allow 8.67 awrt. No integrand implies use of integration function on calculator 0/4. Beware a correct answer from wrong working.

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2018 Paper 1 Variant 2, question 2.

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