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A-LevelMathematicsIntegration9709/32 · May/June 2020 · Q35 Marks

Find the exact value of ∫₄¹ x^(3/2) ln x dx.

  1. (a)Find the exact value of ∫₄¹ x^(3/2) ln x dx.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [M1*] Commence integration and reach (2/5)x⁵/² ln x – (2/5) ∫x³/² dx
  2. [A1] Obtain (2/5)x⁵/² ln x – (2/5) ∫x³/² dx
  3. [A1] Complete the integration and obtain (2/5)x⁵/² ln x – (4/25)x⁵/², or equivalent
  4. [DM1] Use limits correctly, having integrated twice
  5. [A1] Obtain answer (128/5)ln 2 – 124/25, or exact equivalent

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2020 Paper 3 Variant 2, question 3.

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