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词汇 definite-integral
释义 BETA

definite integral

collocation in English

meanings of definiteand integral


These words are often used together. Click on the links below to explore the meanings.
definite
noun[ C ]
uk /ˈdef.ɪ.nət/ us /ˈdef.ən.ət/
something that is certain ...
See more at definite
integral
noun[ C ]
uk /ˈɪn.tɪ.ɡrəl/ us /ˈɪn.t̬ə.ɡrəl/
mathematics specialized
a number or function that gives the area under a curve on a graph between ...
See more at integral


Examples of definite integral


definite integral
Such an integral is often written symbolically just like a standard definiteintegral, perhaps with "infinity" as a limit of integration.
From
Wikipedia

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The former definition would make such concepts as the trapezoidal approximation to a definiteintegral ill-defined.
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Form the definiteintegral from 0 to "x".
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Wikipedia

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If the integral above was used to give a definiteintegral between -1 and 1 the answer would be 0.
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Wikipedia

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It can variously be expressed in the form of a definiteintegral, a trigonometric series, and various other special functions.
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Wikipedia

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When integrating over a specified domain, we speak of a "definiteintegral".
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The normalization causes the definiteintegral of the function over the real numbers to equal 1 (whereas the same integral of the unnormalized sinc function has a value of).
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The "definiteintegral" inputs a function and outputs a number, which gives the algebraic sum of areas between the graph of the input and the x-axis.
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Romberg's method can be used to estimate the value of a definiteintegral by completing the values in a triangle of numbers.
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While bounded hypervolume is a useful insight, the more important idea of definite integrals is that they represent total quantities within space.
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Many of the amazing definite integrals listed in tables or produced by computer algebra systems are nothing but special cases of this formula.
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The integral is not actually the antiderivative, but the fundamental theorem provides a way to use antiderivatives to evaluate definite integrals.
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Wikipedia

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Another difference is in the placement of limits for definite integrals.
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Cauchy early undertook the general theory of determining definite integrals, and the subject has been prominent during the 19th century.
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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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