Acompany is considering a new manufacturing process in one of its plants in an effort to save money. the company estimates that the rate of savings can be modeled by s ( x ) = 125 − x2 where x is time in years and s ( x ) is given in thousands of dollars per year. at the same time, the company's operating costs will increase, and the company estimates that the rate at which costs will increase can be modeled by c ( x ) = x2 + 3.25x where x is time in years and c ( x ) is given in thousands of dollars per year. find the total net savings that the company should expect to realize. (round limits of integration to 4 decimal places before integrating.)