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Cambridge IGCSE Additional Mathematics

14.12Integrating standard functions

Integrating standard functions in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic23 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 14.12Integrate (ax + b)ⁿ for rational n, sin(ax + b), cos(ax + b), sec²(ax + b) and e^(ax+b).

Lessons

  • Integrating exponential, trigonometric and linear-composite functions

    45 min

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Sample question

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

Integrating standard functions: sample question

1 mark

∫6sin⁡3x dx=acos⁡3x+c\displaystyle\int 6\sin 3x\,dx = a\cos 3x + c. Find the value of the constant aa.

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

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