Integral Calculus: JEE Main 2026 Mathematics question

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