### Triple integrals in a specific region of space

Can I perform a triple ~~integrals ~~integral in a region of space I ~~define? ~~define?
I'm trying to migrate from ~~mathematica ~~Mathematica to ~~sage, ~~Sage,
and in ~~mathematica ~~Mathematica I could go and define a region of ~~space ~~space
(with various limitations) and then perform the ~~integral ~~integral
of a function on it.

In Mathematica:

```
reg = ImplicitRegion[x + 2 y + 3 z < 2 && -1 < x < y < z < 1, {x, y, z}];
integral[{x, y, z} in reg, (x^2 + 2 y z)]
```

Is there a way to easily perform this operation even in ~~sage?~~Sage?