(1 point) Compute the flux integral / F . dA in two ways, directly and using the Divergence Theorem. S is the surface of the box with faces x = 3, x = 5, y = 0, y = 2, z = 0, z = 1, closed and oriented outward, and F = x2i + 12 j + 4z2k. Using the Divergence Theorem, Is F . dA = S re s, dz dy dx = where a = , b = , C= , d = P = and q = Next, calculating directly, we have , F . dA = (the sum of the flux through each of the six faces of the box). Calculating the flux through each face separately, we have: On x = 5, SS F . dA = Sold dz dy = where a = , b = ,CE and d = On x = 3, JS F . dA = S& S& dz dy = where a = , b = C= and d = On y = 2, Is F . dA = S& Sd dz dx = where a = , b = ,C= and d = On y = 0, JSF . dA = ford dz dx = where a = , b = , C= and d = On z = 1, SS F . dA = Sold dy dx = where a = , b = , CE and d = And on z = 0, Ss F . dA = Sa Se dy dx = where a = , b = C= and d = Thus, summing these, we have S, F . dA =