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Double Integrals Over Rectangular Regions
https://math.libretexts.org/Courses/Georgia_State_University_-_Perimeter_College/MATH_2215%3A_Calculus_III/15%3A_Multiple_Integration/Double_Integrals_Over_Rectangular_Regions
The volume of a thin rectangular box above $R_{ij}$ is $f(x_{ij}^*, \, y_{ij}^*)\,\Delta A$ , where ( $x_{ij}^*, \, y_{ij}^*$ ) is an arbitrary sample point in each $R_{ij}$ as shown in the follo...The volume of a thin rectangular box above $R_{ij}$ is $f(x_{ij}^*, \, y_{ij}^*)\,\Delta A$ , where ( $x_{ij}^*, \, y_{ij}^*$ ) is an arbitrary sample point in each $R_{ij}$ as shown in the following figure, $f(x_{ij}^*, \, y_{ij}^*)$ is the height of the corresponding thin rectangular box, and $\Delta A$ is the area of each rectangle $R_{ij}$ .
Double Integrals Over Rectangular Regions
https://math.libretexts.org/Courses/Montana_State_University/M273%3A_Multivariable_Calculus/15%3A_Multiple_Integration/Double_Integrals_Over_Rectangular_Regions
The volume of a thin rectangular box above $R_{ij}$ is $f(x_{ij}^*, \, y_{ij}^*)\,\Delta A$ , where ( $x_{ij}^*, \, y_{ij}^*$ ) is an arbitrary sample point in each $R_{ij}$ as shown in the follo...The volume of a thin rectangular box above $R_{ij}$ is $f(x_{ij}^*, \, y_{ij}^*)\,\Delta A$ , where ( $x_{ij}^*, \, y_{ij}^*$ ) is an arbitrary sample point in each $R_{ij}$ as shown in the following figure, $f(x_{ij}^*, \, y_{ij}^*)$ is the height of the corresponding thin rectangular box, and $\Delta A$ is the area of each rectangle $R_{ij}$ .
4.3: Double Integrals Over Rectangular Regions
https://math.libretexts.org/Courses/Misericordia_University/MTH_226%3A_Calculus_III/Chapter_15%3A_Multiple_Integration/4.03%3A_Double_Integrals_Over_Rectangular_Regions
The volume of a thin rectangular box above $R_{ij}$ is $f(x_{ij}^*, \, y_{ij}^*)\,\Delta A$ , where ( $x_{ij}^*, \, y_{ij}^*$ ) is an arbitrary sample point in each $R_{ij}$ as shown in the follo...The volume of a thin rectangular box above $R_{ij}$ is $f(x_{ij}^*, \, y_{ij}^*)\,\Delta A$ , where ( $x_{ij}^*, \, y_{ij}^*$ ) is an arbitrary sample point in each $R_{ij}$ as shown in the following figure, $f(x_{ij}^*, \, y_{ij}^*)$ is the height of the corresponding thin rectangular box, and $\Delta A$ is the area of each rectangle $R_{ij}$ .

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