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词汇 fundamental-theorem-of-calculus
释义 BETA

fundamental theorem of calculus

collocation in English

meanings of fundamental, theoremand calculus


These words are often used together. Click on the links below to explore the meanings.
fundamental
adjective
uk /ˌfʌn.dəˈmen.təl/ us /ˌfʌn.dəˈmen.t̬əl/
forming the base, from which everything ...
See more at fundamental
theorem
noun[ C ]
uk /ˈθɪə.rəm/ us /ˈθiː.rəm/
(especially in mathematics) a formal statement that can be shown to be true ...
See more at theorem
calculus
noun
uk /ˈkæl.kjə.ləs/ us /ˈkæl.kjə.ləs/
mathematics specialized
an area of advanced mathematics in which continuously changing values ...
See more at calculus


Examples of fundamental theorem of calculus


fundamental theorem of calculus
The value of the final integral thus follows from the fundamentaltheoremofcalculus.
Furthermore, when evaluating definite integrals using the fundamentaltheoremofcalculus, the constant will always cancel with itself.
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This is another formulation of the fundamentaltheoremofcalculus.
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Wikipedia

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The fundamentaltheoremofcalculus states that antidifferentiation is the same as integration.
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The usual fundamentaltheoremofcalculus for single-variable calculus has the following local generalization.
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In effect, the fundamentaltheoremofcalculus was built into his calculations.
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It may be seen as a stochastic generalization of the (second) fundamentaltheoremofcalculus.
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Integration by substitution can be derived from the fundamentaltheoremofcalculus as follows.
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This is a consequence of the fundamentaltheoremofcalculus and the fact that derivative of ln ("x") is 1/ "x".
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In particular, the fundamentaltheoremofcalculus allows one to solve a much broader class of problems.
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The fundamentaltheoremofcalculus establishes the relationship between indefinite and definite integrals and introduces a technique for evaluating definite integrals.
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For most integrands we can't use the fundamentaltheoremofcalculus to compute the integral analytically; we have to approximate it numerically.
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Using the fundamentaltheoremofcalculus often requires finding an antiderivative.
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In one dimension, it is equivalent to the fundamentaltheoremofcalculus.
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Thus, in the case that is a 0-form and is a closed interval of the real line, this reduces to the fundamentaltheoremofcalculus.
From
Wikipedia

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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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