A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 95 − 0.18 cos(πt/12), where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man, 24 R(t) dt, 0 over a 24-hour time period?
The given function R(t) is periodic with a period of 24 hours, so the integral is the product of the average value (95 kcal/h) and the 24-hour interval:
