In a mass-spring-dashpot system like the one in Exercise 61, the mass’s position at time t is

Find the average value of y over the interval 0 ≤ t ≤ 2π.

Exercise 61

A retarding force, symbolized by the dashpot in the accompanying figure, slows the motion of the weighted spring so that the mass’s position at time t is

Find the average value of y over the interval 0 ≤ t ≤ 2π.

y = 4e (sin t - cos t), t 0.