A factory produces its own brine by dissolving salt in water.

A factory produces its own brine by dissolving salt in water. A computer regulates the flow of salt so that t hours after 8am, the amount of salt in the brine is changing at a rate of S′(t)=5t/(t^2+2)^2

kilograms per hour. In kilograms, how much salt is added to the solution between 9am and 10am? Round your answer to 3 decimal places.