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A-LevelMathematicsIntegration9709/12 · Feb/Mar 2016 · Q24 Marks

A curve for which dy/dx = 3x² - 2/x² passes through (-1, 3). Find the equation of the curve.

  1. A curve for which dy/dx = 3x² - 2/x² passes through (-1, 3). Find the equation of the curve.[4]

Mark scheme

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

  1. [B1] y = x³ (+c)
  2. [B1] 2x⁻¹ (+c)
  3. [M1] Substitute x = -1, y = 3. (c must be present)
  4. [A1] y = x³ + x⁻² + 3 (Accept c = 3 www)

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About this question

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

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