WMA12/01 Jun 2023, Question 1: The Trapezium Rule
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 2 (WMA12) · Calculator · 3 marks
The question, in short
Use the trapezium rule with all six tabulated y values for y = f(x) at x = 4.0 to 5.0 to approximate the integral of f(x) from 4 to 5, giving the answer to 3 decimal places.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Strip width h = (5 − 4)/5 = 0.2
- 2Area ≈ ½ × 0.2 × [9.2 + 8.6 + 2(8.4556 + 3.8512 + 5.0342 + 7.8297)]
- 3= 0.1 × [17.8 + 2 × 25.1707] = 0.1 × 68.1414
- 4= 6.814 (3 d.p.)
Answer6.814
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