>>12938073Yes. Try it yourself. Also that triple integral wouldn't give volume, but it would cancel out. A triple integral of a function associates each infinitesimal portion of the region in question with a certain quantity and then sums them. For example, let the region (i.e. the limits of integration) be some solid. Let the function we are integrating f(x,y,z) be the density of this solid (see that each (x,y,z) in the solid has some density). Then the integral of this density function over the region representing the solid gives the whole mass of the solid. Note that if the function being integrated is simply f(x,y,z)=1, then this will give the volume of the solid (and yes, this cancels as well). Note that in pic related, z is an odd function and therefore integrating it over a symmetric region will give 0.
