Assume (x, y, z) can be expressed as a product, (x, y, z) = g(x)h(y)k(z). Show that

Assume ƒ(x, y, z) can be expressed as a product, ƒ(x, y, z) = g(x)h(y)k(z). Show that the integral of ƒ over a box B = [a, b] × [c, d] × [p, q] can be expressed as a product of integrals as follows:

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SS f(x,y. 2) dv = ([^" g(x) dx) (S"h(y)dy) (Sk(2).dz) B a