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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · May/June 2012 · Q15 Marks

Find ∫√7x-5 dx.

  1. (i)Find ∫√7x-5 dx.[3]
  2. (ii)Hence evaluate ∫₂³ √7x-5 dx.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

  1. [B1] B1 for multiplication by (7x-5)^2/3, or div by 7
  2. [B1, B1] B1 for (7x-5)^2, B1 for 1/7
  3. [M1] M1 for correct use of limits, must have attempted integration, must be using their (7x-5)^(2n+1)
  4. [A1] (7x-5)^2 from (i)

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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 2012 Paper 1 Variant 2, question 1.

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