You are given that SSS f(x, y, z) drdydz = SSS f(x(u, v, w), y(u, v, w), z(u, v, w)) |J| dudvdw, R 1 under the variable transformation x = x(u, v, w), y = y(u, v, w) and z = z(u,v, w), which maps the region R (in the uvw-space) one-to-one into the region V (in the ryz-space). Here J is the Jacobian of the variable transformation defined by