To determine how much of a drug is absorbed into the body, researchers measure the difference between the dosage D and the amount of the drug excreted from the body. The total amount excreted is found by integrating the excretion rate r(t) from 0 to ∞. Therefore, the amount of the drug absorbed by the body is D −  ∞   0r(t) dt. If the initial dose is D = 350 milligrams (mg), and the excretion rate is r(t) = 30e−0.5t mg per hour, find the amount of the drug absorbed by the body.

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