### Second example (volume)f=1I1=integral(f,z,0,2-y);I1
-y + 2
I2=integral(I1,y,0,4-x^2);I2
-1/2*x^4 + 2*x^2
I3=integral(I2,x,0,2);I3
32/15
### Mass from densitydelta=2*xM=integral(integral(integral(delta,z,0,2-x-y),y,0,2-x),x,0,2)M
4/3
### Center of massMyz=integral(integral(integral(x*delta,z,0,2-x-y),y,0,2-x),x,0,2)Mxz=integral(integral(integral(y*delta,z,0,2-x-y),y,0,2-x),x,0,2)Mxy=integral(integral(integral(z*delta,z,0,2-x-y),y,0,2-x),x,0,2)(Myz/M,Mxz/M,Mxy/M)
(4/5, 2/5, 2/5)
### Moments of inertiaIx=integral(integral(integral((y^2+z^2)*delta,z,0,2-x-y),y,0,2-x),x,0,2)Iy=integral(integral(integral((x^2+z^2)*delta,z,0,2-x-y),y,0,2-x),x,0,2)Iz=integral(integral(integral((x^2+y^2)*delta,z,0,2-x-y),y,0,2-x),x,0,2)(Ix,Iy,Iz)