For a certain drug, the rate of reaction in appropriates units is given by R'=7/t + 2/t^2, when t is measured in hours after the drug is administed. Find the total reaction to the drug from t=5 to t=10

Question

anonymous · Answer

integrate it from 5 to 10

anonymous · Answer

$$\int\limits_{10}^{5} 7\ln \left| x \right| + 2/t$$

anonymous · Answer

?

amistre64 · Answer

$$\int\limits_{5}^{10} \frac{7}{t} + \frac{2}{t^2} dt \rightarrow \rightarrow 7\ln(t) - \frac{2}{t}$$

amistre64 · Answer

1/t^2 integrates to  (-1/t) :)  keep track of those signs

anonymous · Answer

yeah those signs are gonna kill lol

amistre64 · Answer

15.918 - 10.866 = 5.052  give or take