Second Fundamental Theorem of Calculus
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:appliesTo |
continuous functions
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| gptkbp:author |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:Isaac_Newton |
| gptkbp:discoveredIn |
17th century
|
| gptkbp:field |
calculus
|
| https://www.w3.org/2000/01/rdf-schema#label |
Second Fundamental Theorem of Calculus
|
| gptkbp:implies |
integration and differentiation are inverse operations
|
| gptkbp:partOf |
gptkb:Fundamental_Theorem_of_Calculus
|
| gptkbp:relatedTo |
differentiation
integration |
| gptkbp:state |
If f is continuous on [a, b] and F is defined by F(x) = ∫ₐˣ f(t) dt, then F is differentiable and F'(x) = f(x).
|
| gptkbp:usedIn |
engineering
mathematical analysis physics |
| gptkbp:bfsParent |
gptkb:Fundamental_Theorem_of_Calculus
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| gptkbp:bfsLayer |
7
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