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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.
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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.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AP Calculus AB (USA)4IntegrationRules-
AP Calculus BC (USA)4IntegrationRules-
AQA A-Level (UK - Pre-2017)C1IntegrationRules-
AQA AS Maths 2017Pure MathsIntegrationIntegration Basics-
AQA AS/A2 Maths 2017Pure MathsIntegrationIntegration Basics-
CBSE XII (India)CalculusIntegralsReverse process of differentiation-
CCEA A-Level (NI)C2IntegrationRules-
CIE A-Level (UK)P1IntegrationRules-
Edexcel A-Level (UK - Pre-2017)C1IntegrationRules-
Edexcel AS Maths 2017Pure MathsIntegrationIntegration Basics-
Edexcel AS/A2 Maths 2017Pure MathsIntegrationIntegration Basics-
I.B. Higher Level6IntegrationRules-
I.B. Standard Level6IntegrationRules-
Methods (UK)M9IntegrationRules-
OCR A-Level (UK - Pre-2017)C2IntegrationRules-
OCR AS Maths 2017Pure MathsIntegrationIntegration Basics-
OCR MEI AS Maths 2017Pure MathsIntegrationIntegration Basics-
OCR-MEI A-Level (UK - Pre-2017)C2IntegrationRules-
Pre-U A-Level (UK)5IntegrationRules-
Scottish (Highers + Advanced)HM2IntegrationRules-
Scottish HighersM2IntegrationRules-
Universal (all site questions)IIntegrationRules-
WJEC A-Level (Wales)C2IntegrationRules-