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Mathematical Analysis

Integral Calculus

What are antiderivatives and antidifferentiation?

An antiderivative is often interpreted as the same as an indefinite integral, but they actually do differ in definition. Using the notations below describing the Fundamental Theorem of the Calculus (see boxed text for definition of the Fundamental Theorem of the Calculus), the function F(x) is an antiderivative of f(x), described as also equal to the integral of f(x). The actual process of finding F(x) from f(x) is called integration or antidifferentiation.



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