Researchers report that the average amount of milk produced (in kilograms per day) by a 4- to 5-year-old cow weighing 700 kg can be approximated by y = 1.87t^1.49e^{-0.189 (ln t)2}, where t is the number of days into lactation.

(a) Approximate the total amount of milk produced from t = 1 to t = 321 using the trapezoidal rule with n = 8.
(b) Repeat part (a) using Simpson’s rule with n = 8.
(c) Repeat part (a) using the integration feature of a graphing calculator, and compare your answer with the answers to parts (a) and (b).