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Cambridge AS & A Level Mathematics

2.5, 3.5Integration

Integration in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic88 practice questions5 lessons

In this topic

Lessons

  • Integrating exponential, reciprocal and trigonometric functions

    40 min

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  • The trapezium rule and numerical errors

    45 min

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  • Integration by recognition and by substitution

    45 min

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  • Integration using partial fractions

    45 min

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  • Integration by parts

    45 min

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Sample question

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

Integration: sample question

1 mark

Evaluate ∫121x(x+1) dx\displaystyle\int_{1}^{2}\frac{1}{x(x + 1)}\,dx, correct to 3 significant figures.

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

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