SOLUTION: How could the definite integral be used to determine profit over a given period?

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: How could the definite integral be used to determine profit over a given period?       Log On


   

Question 1118136: How could the definite integral be used to determine profit over a given period?

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let's assume that P(t) = total profit after t years. And let's call two points in time a and b. In this case, P(b) - P(a) is the change in profit from t = a years to t = b years.
P(b) - P(a) = ∫P'(t)dt (from t = a to t = b).