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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