Question: The rate of change of the revenue of company A over the (time) interval [0, T] is f(t) dollars/week, whereas the rate of change of the revenue of company B over the same period is g(t) dollars/week. The graphs of f and g are depicted in the accompanying figure. Find an expression in terms of definite integrals involving f and g giving the additional revenue that company B will have over company A in the period [0, T].
