first fundamental theorem of calculus
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous functions
|
| gptkbp:author |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:Isaac_Barrow gptkb:Isaac_Newton |
| gptkbp:connects |
antiderivative
definite integral |
| gptkbp:field |
calculus
|
| https://www.w3.org/2000/01/rdf-schema#label |
first fundamental theorem of calculus
|
| gptkbp:implies |
integration and differentiation are inverse operations
|
| gptkbp:publishedIn |
17th century
|
| 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
|
| gptkbp:bfsLayer |
6
|