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O-LevelAdditional MathematicsDifferentiation and integration4037/11 · May/June 2024 · Q64 Marks

6 Find ∫₄²(2/(2x-3) - 3/(3x-5)²) dx, giving your answer in exact form.

  1. Find ∫₄²(2/(2x-3) - 3/(3x-5)²) dx, giving your answer in exact form.[4]

Mark scheme

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

  1. [4] B1 Allow unsimplified (ln(2x-3))
  2. [4] B1 (1/(3x-5) oe)
  3. [4] M1 For correct application of limits in their integral, Must be in the correct form aln(2x-3) ± b/(3x-5)
  4. [4] A1 (ln5 + 1/7 - 1) or (ln5 - 6/7 cao)

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2024 Paper 1 Variant 1, question 6.

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