Let’s say I’ve got a 2D region `r=Region[Polygon[{{0,0},{1,0},{1,1}}]]`

. I can do integrals like `Integrate[1,{x,y}\[Element]r]`

, or `Integrate[y,{x,y}\[Element]r]`

, to calculate areas and area moments.

I’d like to do an integral like `Integrate[c^2,{x}\[Element]r]`

, where `c`

is the height (*y*max-*y*min) of the region at a particular value of *x*.

Any ideas appreciated.

-David