second fundamental theorem of calculus
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:alsoKnownAs |
gptkb:fundamental_theorem_of_calculus,_part_2
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| gptkbp:appliesTo |
continuous functions
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| gptkbp:author |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:Isaac_Newton |
| gptkbp:component |
gptkb:fundamental_theorem_of_calculus
|
| gptkbp:discoveredIn |
17th century
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| gptkbp:field |
calculus
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| https://www.w3.org/2000/01/rdf-schema#label |
second fundamental theorem of calculus
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| gptkbp:implies |
integration and differentiation are inverse operations
|
| gptkbp:relatedTo |
differentiation
integration |
| gptkbp:state |
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).
|
| gptkbp:usedIn |
engineering
mathematical analysis physics |
| gptkbp:bfsParent |
gptkb:fundamental_theorem_of_calculus
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| gptkbp:bfsLayer |
6
|