Cambridge AS & A Level Mathematics
1.8Integration
Integration in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic57 practice questions3 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 1.8.1Understand integration as reverse differentiation and integrate (ax + b)ⁿ for rational n ≠ −1 with constant multiples, sums and differences.
- 1.8.2Solve problems involving the constant of integration.
- 1.8.3Evaluate definite integrals.
- 1.8.4Use definite integration for areas (curve and lines parallel to the axes, curve and line, two curves) and volumes of revolution about either axis.
Lessons
- Full access
Definite integrals and areas
45 min
- Full access
Integration as the reverse of differentiation
40 min
- Full access
Volumes of revolution
40 min
Join to read every lesson, or see what Full access includes.
Sample question
A sample question on this topic. Answer it, check it, then read the worked answer.
Turn Integration into a strength.
Practise with instant marking, see your mastery grow and get a study plan built around your exam date.