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 | - |