Anti-derivative
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Anti-derivative
The evil twin of a derivative, an anti-derivative gives a function that is used for evaluating the area under the curve. It can often be interchanged with an indefinite integral.
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- Index
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Antiderivative
An antiderivative of a function is another function whose derivative equals the original function on an interval. Two antiderivatives on the same interval differ by a constant. For example, x² is an antiderivative of 2x, and x²+7 is another. An antiderivative is a function, whereas a definite integral is an accumulated value.