A drug taken orally is absorbed into the bloodstream at the rate of te-0.5t milligrams per hour, where t is the number of hours since the drug was taken. Find the total amount of the drug absorbed (in mg) during the first 6 hours. (Round your answers to two decimal places.) mg absorbed amount absorption rate t 6 Hours (a) Solve without using a graphing calculator. mg (b) Verify your answer to part (a) using a graphing calculator. mg