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A-LevelMathematicsIntegration9709/21 · Oct/Nov 2018 · Q25 Marks

Show that ∫₁⁷ (6 / (2x + 1)) dx = ln 125.

  1. (a)Show that ∫₁⁷ (6 / (2x + 1)) dx = ln 125.[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [M1] Integrate to obtain form kln(2x+1)
  2. [A1] Obtain correct 3ln(2x+1)
  3. [M1] Use subtraction law of logarithms correctly Dependent on first M1
  4. [M1] Use power law of logarithms correctly Dependent on first M1
  5. [A1] Confirm ln125

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Oct/Nov 2018 Paper 2 Variant 1, question 2.

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