### Image: Triangular region determined by the shadow method

The triangular region bounded by the lines $x=0$, $y=1$, and $y=x$ is the shadow of a three-dimensional region calculated with the sun being at the positive $z$-axis. The three-dimensional region was the one bounded by the vertical planes $x=0$, $y=1$, and $y=x$ and the angled planes $z=2+x-y$ and $z=x-y$.

Image file: triple_integral_triangle_shadow.png

Source image file: triple_integral_triangle_shadow.ggb

Source image type: Geogebra

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