The acceleration, in feet per second per second, of an object is given by the acceleration function a (t) = 2 sin t + 1. The initial velocity is v (0) = 0 and the initial position is s (0) = 3. Find the equation of velocity function. Find the position function and the average value of the position function from time t = 2 seconds to t = 5 seconds. Show all your work. For an indefinite integral, use the notation INT in place of the symbol. For example, J ( + 1) dx should be written as INT (x + 1) do. For a definite integral, use the notation INT (a, b). For example, S (x + 1) da should be written as INT (1, 2) (x + 1) dx. For a definite integral that has been integrated, use the notation EVAL (a, b). For example, (2 + x) should be written as 2 + EVAL (1, 2)