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A-LevelMathematicsIntegration9709/12 · May/June 2010 · Q98 Marks

The diagram shows the curve y = (x – 2)² and the line y + 2x = 7, which intersect at points A and B. Find the area of the shaded region.

  1. The diagram shows the curve y = (x – 2)² and the line y + 2x = 7, which intersect at points A and B. Find the area of the shaded region.[8]

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Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. [M1] y (or x) removed completely.
  2. [DM1A1] Soln of quadratic. Both points correct.
  3. [M1] Uses any valid method – integration or area of trapezium etc.
  4. [M1] Any attempt at integration.
  5. [A1] Correct integration in either form.
  6. [M1] Correct use of limits in an integral.
  7. [A1] co

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 8 marks.
Source
A-Level Mathematics, May/June 2010 Paper 1 Variant 2, question 9.

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