The angular velocity of a gear is controlled according to = 12 3t 2 where

The angular velocity of a gear is controlled according to ω = 12 − 3t² where ω, in radians per second, is positive in the clockwise sense and where t is the time in seconds. Find the net angular displacement ∆θ from the time t = 0 to t = 3 s. Also find the total number of revolutions N through which the gear turns during the 3 seconds.