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A-LevelMathematicsIntegration9709/12 · Oct/Nov 2016 · Q14 Marks

A curve is such that dy/dx = 8/√(4x + 1). The point (2, 5) lies on the curve. Find the equation of the curve.

  1. A curve is such that dy/dx = 8/√(4x + 1). The point (2, 5) lies on the curve. Find the equation of the curve.[4]

Mark scheme

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

  1. [B1] Correct integrand (unsimplified) without ÷4
  2. [B1] ÷4. Ignore c.
  3. [M1] Substitution of correct values into an integrand to find c.
  4. [A1] y = 4√4x+1-7

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About this question

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

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