The total annual health care costs in the United States (actual and projected, in billions of dollars) for selected years are given in the table. The equation y=4.447x2-9.108x+1055.4 models the annual health care costs, y (in billions of dollars per year), as a function of the umber of years past 1990, x. Use a definite integral and this model to find the total cost of health care over the period 2005-2015.

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Year Year 2012 2015 2018 Cost Cost 1353 1735 2931 3541 4353 2000 2003 2006 2113 2509 2009