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Cambridge AS & A Level Mathematics

3.5dIntegration by parts

Integration by parts in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic20 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 3.5.5Paper 3: recognise when an integrand is usefully a product and use integration by parts.

Lessons

  • 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 by parts: sample question

1 mark

Evaluate ∫0π/2xcos⁡x dx\displaystyle\int_{0}^{\pi/2} x\cos x\,dx, correct to 3 significant figures.

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

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