Use definite integrals to approximate total revenues taken

Question

Revenues from sales of a soft drink over a 2-year period are given approximately by

where R(t) is revenue (in millions of dollars) for a month of sales t months after February 1. Use definite integrals to approximate

(A) Total revenues taken in over the 2-year period

(B) Total revenues taken in from t = 8 to t = 14

(C) Illustrate part (B) graphically with an appropriate shaded region representing the total revenues taken in.