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O-LevelAdditional MathematicsDifferentiation and integration4037/11 · May/June 2014 · Q56 Marks

Given that y = e^(x²), find dy/dx.

  1. (i)Given that y = e^(x²), find dy/dx.[2]
  2. (ii)Use your answer to part (i) to find ∫xe^(x²) dx.[2]
  3. (iii)Hence evaluate ∫_0^2 xe^(x²) dx.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

  1. [B1] B1 for e^(x²)
  2. [B1] B1 for 2xe^(x²)
  3. [M1] M1 for k e^(x²)
  4. [A1] A1 for (1/2) e^(x²)
  5. [DM1] DM1 for correct use of limits
  6. [A1] A1 for 26.8, allow exact value

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, May/June 2014 Paper 1 Variant 1, question 5.

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