Set up, but do not evaluate, integral expressions for the mass, the center of mass, and the moment of inertia about the z-axis.
The solid enclosed by the cylinder y = x² and the planes z = 0 and y + z = 1; p(x, y, z) = √x² + y²
the moment of inertia about the z-axis
∫₋₁¹∫ₓ₂¹∫₀¹⁻ʸ ______ dz dy dx