DLMF:1.4.E18 (Q97)

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DLMF:1.4.E18
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    a b f ( x ) d x = lim j = 0 n - 1 f ( ξ j ) ( x j + 1 - x j ) subscript superscript 𝑏 𝑎 𝑓 𝑥 𝑥 subscript superscript 𝑛 1 𝑗 0 𝑓 subscript 𝜉 𝑗 subscript 𝑥 𝑗 1 subscript 𝑥 𝑗 {\displaystyle{\displaystyle\int^{b}_{a}f(x)\mathrm{d}x=\lim\sum^{n-1}_{j=0}f(% \xi_{j})(x_{j+1}-x_{j})}}
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