The area of the region enclosed by the lines $y = 2x$, $2y = x$ and $x = 2$ (in sq. units) is...

The area enclosed between the curves $y=x|x|$ and $y=x-|x|$ is :

Area of the region bounded by $y=|x|$ and $y=-|x|+2$ is

$A$ quadratic polynomial $y = f(x)$ with absolute term $3$ neither touches nor intersects the abscissa axis and is symmetric about the line $x = 1$. The coefficient of the leading term of the polynomial is unity. $A$ point $A(x_1, y_1)$ with abscissa $x_1 = 1$ and a point $B(x_2, y_2)$ with ordinate $y_2 = 11$ are given in a Cartesian rectangular system of coordinates $OXY$ in the first quadrant on the curve $y = f(x)$,where $O$ is the origin. The area bounded by the curve $y = f(x)$ and the line $y = 3$ is: (in $/3$)

The area bounded by the parabola $y^{2}=16x$ and its latus rectum in the first quadrant is

Find the area bounded by the curves $\{(x, y): y \geq x^{2} \text{ and } y=|x|\}$.