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O-LevelAdditional MathematicsDifferentiation and integration4037/11 · May/June 2021 · Q25 Marks

Find ∫₃⁵(1/(x-1)-1/((x-1)²)) dx, giving your answer in the form a+lnb, where a and b are rational numbers.

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [2] B1 for ln(x-1)
  2. [2] B1 for + 1/(x-1)
  3. [5] M1 Dep on at least one B mark, for correct use of limits
  4. [2] A1 for In 2
  5. [2] A1 for -1/4 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 2021 Paper 1 Variant 1, question 2.

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