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antiderivatives
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Definitions of antiderivatives in various dictionaries:
ANTIDERIVATIVES - In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose de...
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| Plural form of antiderivative. |
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In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f. This can be stated symbolically as F = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative. * Antiderivatives are related to definite integrals through the fundamental theorem of calculus: the definite integral of a function over an interval is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval. * The discrete equivalent of the notion of antiderivative is antidifference. |