Rate of Reaction

[Cyprus]

For a certain drug, the rate of reaction in appropriate units is given by

R'(t) = 3/(t+1) + 5/√(t+1)

where t is time (in hours) after the drug is administered. Find the total reaction to the drug from 8 to 24 hours after it is administered.

Any pointers on how I should tackle this problem? :?

 

[Deleted member 4993]

For a certain drug, the rate of reaction in appropriate units is given by

R'(t) = 3/(t+1) + 5/√(t+1)

where t is time (in hours) after the drug is administered. Find the total reaction to the drug from 8 to 24 hours after it is administered.

Any pointers on how I should tackle this problem? :?

What is R?

 

[Ishuda]

For a certain drug, the rate of reaction in appropriate units is given by

R'(t) = 3/(t+1) + 5/√(t+1)

where t is time (in hours) after the drug is administered. Find the total reaction to the drug from 8 to 24 hours after it is administered.

Any pointers on how I should tackle this problem? :?

Seems like a necessary assumption is that the reaction is zero at time zero as is the cumulative effect of the drug. Now total reaction over a time window sounds to me like an addition (integration) of the reaction over that time frame and the reaction would be the integration of the rate of reaction.