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Cambridge AS & A Level Mathematics

2.5bThe trapezium rule

The trapezium rule in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
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Learning objectives

What the syllabus expects you to be able to do.

  1. 2.5.3Paper 2: understand and use the trapezium rule to estimate a definite integral, and decide from a sketch whether it over- or under-estimates.

Lessons

  • The trapezium rule and numerical errors

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

The trapezium rule: sample question

1 mark

Use the trapezium rule with 2 strips to estimate ∫02x2 dx\displaystyle\int_0^2 x^2\,\mathrm{d}x.

Only if the answer has a unit, e.g. cm or km/h.

Turn The trapezium rule into a strength.

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