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A-LevelMathematicsNumerical methods9709/32 · Feb/Mar 2018 · Q13 Marks

Use the trapezium rule with three intervals to estimate the value of ∫₀^(π/4) √(1 – tan x) dx, giving your answer correct to 3 decimal places.

  1. Use the trapezium rule with three intervals to estimate the value of ∫₀^(π/4) √(1 – tan x) dx, giving your answer correct to 3 decimal places.[3]

Mark scheme

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

  1. [B1] State or imply ordinates 1, 0.8556..., 0.6501..., 0
  2. [M1] Use correct formula, or equivalent, with h = 1/12π and four ordinates
  3. [A1] Obtain answer 0.525

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About this question

Topic
Numerical methods, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, Feb/Mar 2018 Paper 3 Variant 2, question 1.

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