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{\displaystyle f[x_{0},\ldots ,x_{n}]={\frac {1}{n!}}\int _{x_{0}}^{x_{n}}f^{(n)}(t)B_{n-1}(t)\,dt}
f
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{\displaystyle f[x_{0},\ldots ,x_{n}]}
1
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{\displaystyle {\frac {1}{n!}}}
∫
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{\displaystyle \int _{x_{0}}^{x_{n}}}
f
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{\displaystyle f^{(n)}(t)B_{n-1}(t)dt\,}
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{\displaystyle \lim _{n\rightarrow \infty }\sum _{i=0}^{n}{\frac {1}{i}}}
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![{\displaystyle f[x_{0},\ldots ,x_{n}]={\frac {1}{n!}}\int _{x_{0}}^{x_{n}}f^{(n)}(t)B_{n-1}(t)\,dt}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4ae40d8692899cbc0fdcb156a32205e51c00250b)
![{\displaystyle f[x_{0},\ldots ,x_{n}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2c4d655ef8c761e8ebad6a67073fe8bf08e93545)
