Answer to Question #52176 in Calculus for Man Eun Hae

Question

A Dam is overflowing at the rate of
V ′(t) = 3t/(t^2+1)^(2/3) thousand m3 per day, V ′(t) = 6t(2t + 1)−2 thousand m3 per day,
where t is the time in days after the overflow begins. Find the amount of water that overflows from the dam during the second day of the overflow. Give the answer exactly first and then to 4 significant figures.