If you know what \displaystyle \frac{dy}{dx} is then you can figure out what
y was by reversing the rules of differentiation. This
is called integration. Functions can be integrated by application of a set of
rules. Later in advanced mathematics these rules become a
major topic of study. You must use the notation accurately.
Software/Applets used on this page
Glossary
differentiation
The process of finding a derivative.
integration
the process of finding an integral, the reverse process to differentiation.
union
The union of two sets A and B is the set containing all the elements of A and B.
This question appears in the following syllabi:
| Syllabus | Module | Section | Topic | Exam Year |
|---|---|---|---|---|
| AP Calculus AB (USA) | 4 | Integration | Rules | - |
| AP Calculus BC (USA) | 4 | Integration | Rules | - |
| AQA A-Level (UK - Pre-2017) | C1 | Integration | Rules | - |
| AQA AS Maths 2017 | Pure Maths | Integration | Integration Basics | - |
| AQA AS/A2 Maths 2017 | Pure Maths | Integration | Integration Basics | - |
| CBSE XII (India) | Calculus | Integrals | Reverse process of differentiation | - |
| CCEA A-Level (NI) | C2 | Integration | Rules | - |
| CIE A-Level (UK) | P1 | Integration | Rules | - |
| Edexcel A-Level (UK - Pre-2017) | C1 | Integration | Rules | - |
| Edexcel AS Maths 2017 | Pure Maths | Integration | Integration Basics | - |
| Edexcel AS/A2 Maths 2017 | Pure Maths | Integration | Integration Basics | - |
| I.B. Higher Level | 6 | Integration | Rules | - |
| I.B. Standard Level | 6 | Integration | Rules | - |
| Methods (UK) | M9 | Integration | Rules | - |
| OCR A-Level (UK - Pre-2017) | C2 | Integration | Rules | - |
| OCR AS Maths 2017 | Pure Maths | Integration | Integration Basics | - |
| OCR MEI AS Maths 2017 | Pure Maths | Integration | Integration Basics | - |
| OCR-MEI A-Level (UK - Pre-2017) | C2 | Integration | Rules | - |
| Pre-U A-Level (UK) | 5 | Integration | Rules | - |
| Scottish (Highers + Advanced) | HM2 | Integration | Rules | - |
| Scottish Highers | M2 | Integration | Rules | - |
| Universal (all site questions) | I | Integration | Rules | - |
| WJEC A-Level (Wales) | C2 | Integration | Rules | - |