Suppose a patient is injected with a certain drug, and the concentration in the blood- stream is detected by a monitor thirty seconds after injection. Suppose the peak concentration is reached around 1.3591 minutes. The concentration of the drug in the bloodstream of the patient can be modeled by In(2t) C(t) = t where t is in minutes and C(t) is measured in mg/cm³. Show all steps by hand that the average concentration of the drug in the patient's bloodstream from first detected to 2 minutes is (In 2)², i.e., evaluate the definite integral 1 C(t) dt - a

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.