DLMF:1.5.E27 (Q150)

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DLMF:1.5.E27
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    R f ( x , y ) d A = lim j , k f ( ξ j , η k ) ( x j + 1 - x j ) ( y k + 1 - y k ) subscript double-integral 𝑅 𝑓 𝑥 𝑦 𝐴 subscript 𝑗 𝑘 𝑓 subscript 𝜉 𝑗 subscript 𝜂 𝑘 subscript 𝑥 𝑗 1 subscript 𝑥 𝑗 subscript 𝑦 𝑘 1 subscript 𝑦 𝑘 {\displaystyle{\displaystyle\iint_{R}f(x,y)\mathrm{d}A={\lim\sum_{j,k}f(\xi_{j% },\eta_{k})(x_{j+1}-x_{j})(y_{k+1}-y_{k})}}}
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