Fundamental Theorem of Calculus: Difference between revisions
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This part is sometimes referred to as the '''Second Fundamental Theorem of Calculus''' or the '''Newton-Leibniz Axiom'''. | This part is sometimes referred to as the '''Second Fundamental Theorem of Calculus''' or the '''Newton-Leibniz Axiom'''. | ||
Let ''ƒ'' be a real-valued function defined on a | Let ''ƒ'' be a real-valued function defined on a closed interval [''a'', ''b''] that admits an antiderivative ''g'' on [''a'', ''b'']. That is, ''ƒ'' and ''g'' are functions such that for all ''x'' in [''a'', ''b''], | ||
:<math>f(x) = g'(x).\ </math> | :<math>f(x) = g'(x).\ </math> | ||