Antiderivative: Meaning, Notation, and Example
A function whose derivative equals a given function.
Definition and meaning
All antiderivatives on an interval differ by an additive constant.
The term antiderivative names a precise mathematical idea, not merely a visual pattern. Read its notation as a statement with hypotheses, quantities, and a conclusion.
Notation
Read every symbol with its domain and hypotheses; notation compresses an argument but does not remove its conditions.
Worked example
Identify the quantities in the notation, state the relevant hypothesis, and explain what conclusion the antiderivative statement permits.
Common confusion
Do not treat antiderivative as a keyword that automatically selects a formula; its hypotheses and domain still control the conclusion.