Evaluate the integral∫5π/6π/6√4−4sin2tdt
2∫5π6π6|cost|dt 2⎡⎢ ⎢⎣2∫π2π6costdt−2∫5π6π2costdt⎤⎥ ⎥⎦ 2⎡⎢ ⎢⎣⎛⎜⎝sint2∫π2π6⎞⎟⎠−(sint)2∫5π6π2⎤⎥ ⎥⎦ =2[(1−12)−(+12−1)] =2[1]=2