A person's metabolic rate tends to go up after eating a meal and then, after some time has passed, it returns to a resting metabolic rate. This phenomenon is known as the thermic effect of food. Suppose the effect (in kJ per hour) for one individual is F(t)=−11.37+172.6te^–t/1.2 where t is the number of hours that have elapsed since eating a meal. Find the total thermic energy of a meal for the next six hours after a meal by integrating the thermic effect function between t=0 and t=6 The total thermic energy is about _________ kJ. (Round to the nearest whole number as needed.)