Question

It is predicted that sales for a fiction novel will start slowly, but then increase after some years pass. If the model for the rate of change of the revenue in thousands of dollars per year is R'(t)= 10/(1+100e^(-5t)) with t being the number of years since the novel was published, how do you use a definite integral to predict how much is made from the novel after five years in thousands?

Answer 1

just take the definite integral
∫[0,5] 10/(1+100e^(-5t)) dt
hint: let u = 1+100e^(-5t)