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A-LevelMathematicsIntegration9709/12 · May/June 2016 · Q24 Marks

A curve is such that dy/dx = 8 / (5 – 2x)². Given that the curve passes through (2, 7), find the equation of the curve.

  1. A curve is such that dy/dx = 8 / (5 – 2x)². Given that the curve passes through (2, 7), find the equation of the curve.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

  1. [B1] f(x) = 8(5-2x)⁻¹ / -1 Correct without (÷ by -2)
  2. [B1] An attempt at integration (÷ by-2)
  3. [M1] Uses x = 2, y = 7, Substitution of correct values into an integral to find c
  4. [A1] c = 3

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, May/June 2016 Paper 1 Variant 2, question 2.

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