Bounded x, y, z region for triple integration
I would like evaluate a triple integral of f(x,y,z) dxdydz, of the bounded region, as per below attachment.
In case you cannot see it, here are the bounds;
0 ≤ x ≤ 4
0 ≤ z ≤ 2
And for starters, i would like to graph it in 3D.
What i currently see in 3D calculator, is a flat semicircle in the xy plane.
But understandably, the solid should have a height.
Could you pls suggest an approach?
Specifically, i suspect the surface function might work, but i can't figure out how.
It does not accept my inputs.
So I would like the exact syntax for this example, applicable to x,y,z region,
not polar, not cylindrical, not with vectors,
just the plain old x, y, z definitions, as shown above.
Could that be done?
eg. Wolfram evaluates bounded triple integrals easily, but doesn't graph the region.
So i wondered if geogebra could graph it for me.
(I know what this shape should be, but will use the method for more elaborate cases.)
Thanks in advance,