4. A novel neutron source has been synthesized in the Department of Nuclear Engineering at Kyunghee University, and let's call it KHU-NFLUX. The neutron flux is given as follows depending on the location. The point source position is (0,0,0). F(x.y. =) = (5x+12ry, y + esin 2,52 +e" cos z) x 100/em sec When the distance from the source becomes 3 cm, assuming that all neutrons are absorbed and there is no more flux. How many neutrons are emitted from the source per unit time?