DLMF:3.5.E6 (Q1244): Difference between revisions

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imported>Admin
 
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1acdec

Revision as of 16:50, 1 January 2020

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DLMF:3.5.E6
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    Statements

    a b f ( x ) d x = 1 3 h ( f ( a ) + 4 f ( 1 2 ( a + b ) ) + f ( b ) ) - 1 90 h 5 f ( 4 ) ( ξ ) , superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑥 1 3 𝑓 𝑎 4 𝑓 1 2 𝑎 𝑏 𝑓 𝑏 1 90 superscript 5 superscript 𝑓 4 𝜉 {\displaystyle{\displaystyle\int_{a}^{b}f(x)\mathrm{d}x=\tfrac{1}{3}h(f(a)+4f(% \tfrac{1}{2}(a+b))+f(b))-\tfrac{1}{90}h^{5}f^{(4)}(\xi),}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1acdec
    0 references