First Fundamental Theorem of Calculus
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:category |
gptkb:mathematical_concept
calculus theorem |
| gptkbp:date |
17th century
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| gptkbp:explains |
relationship between differentiation and integration
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| gptkbp:field |
calculus
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| gptkbp:formedBy |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:Isaac_Barrow gptkb:Isaac_Newton |
| gptkbp:hasPart |
gptkb:Second_Fundamental_Theorem_of_Calculus
|
| gptkbp:hasStatement |
If f is continuous on [a, b] and F is an antiderivative of f on [a, b], then ∫ₐᵇ f(x) dx = F(b) - F(a).
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| https://www.w3.org/2000/01/rdf-schema#label |
First Fundamental Theorem of Calculus
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| gptkbp:partOf |
gptkb:Fundamental_Theorem_of_Calculus
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| gptkbp:relatedTo |
differentiation
integration |
| gptkbp:state |
The integral of a function over an interval can be computed using its antiderivative.
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| gptkbp:usedIn |
engineering
mathematical analysis physics |
| gptkbp:bfsParent |
gptkb:Fundamental_Theorem_of_Calculus
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| gptkbp:bfsLayer |
7
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