To determine how much of a drug is absorbed into the body, researchers measure the difference between the dosage H 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 infinity. Therefore, the amount of the drug absorbed by the body is
H – Integral (r(t)dt) from 0 to infinity_
If the initial dose is H = 200 milligrams (mg), and the excretion rate is r(t)=40e^(-0.5t)mg per hour, find the amount of the drug absorbed by the body.
Is the answer 120 mg?