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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · May/June 2024 · Q115 Marks

11 (a) Given that y = x²lnx, find dy/dx.

  1. (a)Given that y = x²lnx, find dy/dx.[2]
  2. (b)Hence find ∫x lnx dx.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [M1] for attempt at product rule
  2. [A1] x + 2x ln x
  3. [M1] mx² ln x Mark final answer Dep on M1 in part (a)
  4. [A1] 1/2 x² lnx oe
  5. [A1] - x²/4 + c oe

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2024 Paper 1 Variant 2, question 11.

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