Question

The acceleration of a particle moving left to right on the x-axis is a(t) = e^t + t with 1<=t<=4 with t measured in seconds and a(t) measured in feet per second squared. At time t = 1, the velocity of the particle is 2 feet per second. To 3 decimal places, find the total distance traveled by the particle from t = 1 to t = 4 secs. Include units in your answer.