In the Midpoint Rule for triple integrals we use a triple Riemann sum to approximate a triple integral over a box B, where f(x, y, z) is evaluated at the center (xi(vector), yj(vector), zk(vector)) of the box B_ijk. Use the Midpoint Rule to estimate the value of the integral. Divide B into eight sub-boxes of equal size.

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SSle Vx2 + y2 + z? dv, where B = {(x, y, z) | 0