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===Second part=== |
===Second part=== |
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This part is sometimes referred to as the ''second fundamental theorem of calculus''<ref>{{harvnb|Apostol|1967|loc=§5.3}}</ref> or the '''Newton–Leibniz |
This part is sometimes referred to as the ''second fundamental theorem of calculus''<ref>{{harvnb|Apostol|1967|loc=§5.3}}</ref> or the '''Newton–Leibniz axiom'''. |
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Let <math>f</math> be a real-valued function on a [[closed interval]] <math>[a,b]</math> and <math>F</math> a continuous function on <math>[a,b]</math> which is an antiderivative of <math>f</math> in <math>(a,b)</math>: |
Let <math>f</math> be a real-valued function on a [[closed interval]] <math>[a,b]</math> and <math>F</math> a continuous function on <math>[a,b]</math> which is an antiderivative of <math>f</math> in <math>(a,b)</math>: |
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