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Formula:121

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Digital Library of Mathematical Functions ID 1.5.E27

∬ 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})}}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • j 𝑗 {\displaystyle{\displaystyle j}} : integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • R 𝑅 {\displaystyle{\displaystyle R}} : closed rectangle
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This page was last edited on 3 March 2024, at 01:29.
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