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ben committed 2026-10-06 12:05:42 -07:00
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@@ -25,7 +25,7 @@ $$\int_{a}^b \int_{g_{1}(x)}^{g_{2}(x)} f(x,y) \ dydx$$
This can also be done if $D$ is bound by functions on the x-axis instead of the y-axis
> [!note] Property
> [!info] Property
> If $D=D_{1} \cup D_{2}$ and $D_{1}$ and $D_{2}$ do not intersect except at their boundaries then
> $$\int \int_{D} f(x,y) \ dA = \int \int_{D_{1}} f(x,y) \ dA + \int \int_{D_{2}} f(x,y) \ dA$$
> This can be used to split up integrals similar to area in 2D