fundamental theorem of calculus, part 2
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:alsoKnownAs |
FTC Part 2
|
| gptkbp:appliesTo |
continuous functions
|
| gptkbp:author |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:Isaac_Newton |
| gptkbp:category |
mathematical analysis
theorems in calculus |
| gptkbp:consequence |
simplifies computation of definite integrals
|
| gptkbp:field |
calculus
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| https://www.w3.org/2000/01/rdf-schema#label |
fundamental theorem of calculus, part 2
|
| gptkbp:implies |
definite integral can be computed using antiderivatives
|
| gptkbp:partOf |
gptkb:fundamental_theorem_of_calculus
|
| gptkbp:relatedTo |
differentiation
integration |
| gptkbp:state |
If f is continuous on [a, b] and F is any antiderivative of f on [a, b], then ∫ₐᵇ f(x) dx = F(b) - F(a).
|
| gptkbp:usedIn |
economics
engineering mathematical analysis physics |
| gptkbp:yearProposed |
17th century
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| gptkbp:bfsParent |
gptkb:second_fundamental_theorem_of_calculus
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| gptkbp:bfsLayer |
7
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