Water flows through a spring located at the origin. The velocity of the water in m/s is given by F(x, y) = (2x + y₂x + 4y). Find the amount of water per second that flows through the region S which is bounded by a circle centered at the origin with radius 2, where x ≥ 0 and y ≥ 0. Answer in terms of , and do not include units in your answer.

Water flows through a spring located at the origin. The velocity of the water in m/s is given by F(x, y) = (2x + y₂x + 4y). Find the amount of water per second that flows through the region S which is bounded by a circle centered at the origin with radius 2, where x ≥ 0 and y ≥ 0. Answer in terms of , and do not include units in your answer.