Antiderivatives

Definition

Antiderivatives are functions that, when differentiated, yield the original function. They represent the reverse process of differentiation.

Related terms

Integration:

Integration is the process of finding antiderivatives. It involves adding up infinitely many tiny changes in order to find the total change.

Constants of Integration: Constants of integration are arbitrary constants that appear when finding antiderivatives. They account for all possible solutions and represent different starting points on the graph.

Fundamental Theorem of Calculus:

The Fundamental Theorem of Calculus states that if a function is continuous on an interval, then its definite integral can be evaluated using antiderivatives.