Math Insight

Image: Double integral as volume under a surface

Double integral as volume under a surface The double integral $\iint_{\dlr} f(x,y) dx\,dy$ for $f(x,y)>0$ can be interpreted as the volume under the surface $z =f(x,y)$ over the region $(x,y) \in \dlr$.

Image file: double_integral_volume_under_surface.png

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