Let \( A_1 \) be the bounded area enclosed by the curves \( y = x^2 + 2 \), \( x + y = 8 \) and y-axis that lies in the first quadrant.
Let \( A_2 \) be the bounded area enclosed by the curves \( y = x^2 + 2 \), \( y^2 = x \), \( x = 2 \), and y-axis that lies in the first quadrant. Then \( A_1 - A_2 \) is equal to:
