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Fundamental Theorems of Calculus

Statement

The first fundamental theorem of calculus states that if f is continuous on the closed interval [a, b] and F is the antiderivative (indefinite integral) of f on [a, b], then integral_a^bf(x)dx = F(b) - F(a).

History

Associated equation

integral_a^bf(x)dx = ( integral f(x)dx/.x->b) - ( integral f(x)dx/.x->a)

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solved mathematics problems | mathematics theorems

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Fundamental Theorems of Calculus

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