Answer by peek-a-boo for Visualization of double integrals
There are often several ways one can interpret integrals. The viewpoint in single-variable integrals as "(signed) area under the graph" is too limited, because we often have many many many other...
View ArticleAnswer by Vons for Visualization of double integrals
$$\int\int f(x,y)dxdy$$will yield the volume under the function if $f(x,y)\ge 0$ inside the region. If $f(x,y)\le0$ inside the region, it will yield the volume of the function inside the region, but...
View ArticleVisualization of double integrals
So, we just started learning double integrals in class.$$\iint f(x,y) \mathrm{d}x \mathrm{d}y$$Our teacher said that performing this operation within certain limits of x and y yields the volume under...
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