Formula:1222

Digital Library of Mathematical Functions ID 3.5.E13

${\displaystyle{\displaystyle\int_{a}^{b}f(x)\mathrm{d}x-G_{k}\left(\frac{b-a}{2^{j}}\right)=-\frac{(b-a)^{2k+3}}{2^{k(k+1)}}\frac{4^{-j(k+1)}}{(2k+2)!}\left|B_{2k+2}\right|f^{(2k+2)}(\xi),}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle G_{k}(h)}}$: Romberg scheme (locally)
 

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