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A-LevelMathematicsIntegration9709/21 · Oct/Nov 2025 · Q13 Marks

Find ∫ 6 sin²x dx.

  1. Find ∫ 6 sin²x dx.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.

  1. [M1] Use identity to express integrand in the form k₁ + k₂ cos2x
  2. [A1] Obtain correct 3-3cos2x
  3. [A1] Integrate to obtain 3x - ½sin 2x [Condone omission of +c.]

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About this question

Topic
Integration, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Oct/Nov 2025 Paper 2 Variant 1, question 1.

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