Set up the integral ∫∫∫_D f(x,y,z) dV where D is the interior of the pyramid with vertices (0,0,0), (1,0,0), (1,2,0), (0,2,0), and (0,0,1).
a) ∫∫∫_D f(x,y,z) dV = ∫[0 to 1] ∫[0 to 2x] ∫[0 to (2-2x)] f(x,y,z) dz dy dx
b) ∫∫∫_D f(x,y,z) dV = ∫[0 to 1] ∫[0 to 2] ∫[0 to 1] f(x,y,z) dx dy dz
c) ∫∫∫_D f(x,y,z) dV = ∫[0 to 2] ∫[0 to 1] ∫[0 to 1] f(x,y,z) dy dx dz
d) ∫∫∫_D f(x,y,z) dV = ∫[0 to 1] ∫[0 to 1-x] ∫[0 to x] f(x,y,z) dy dz dx