The area bounded by the curves $y^2 = 4x$ and $x^2 = 4y$ is

The area bounded by the curve $y=x^2+3$,$y=x$,$x=3$ and the $y$-axis is:

The area (in sq.units) of the region bounded by the parabolas $y^2=4x$ and $y^2=4(4-x)$ is

The area bounded by the parabolas $y = 9x^2$, $y = \frac{x^2}{16}$ and the line $y = 1$ is

The area (in sq. units) bounded by the curves $x=y^2$ and $x=3-2y^2$ is

Let $A_1, A_2$ and $A_3$ be the regions on $\mathbb{R}^2$ defined by:
$A_1 = \{(x, y) : x \geq 0, y \geq 0, 2x + 2y - x^2 - y^2 > 1 > x + y\}$
$A_2 = \{(x, y) : x \geq 0, y \geq 0, x + y > 1 > x^2 + y^2\}$
$A_3 = \{(x, y) : x \geq 0, y \geq 0, x + y > 1 > x^3 + y^3\}$
Denote by $|A_1|, |A_2|$ and $|A_3|$ the areas of the regions $A_1, A_2$ and $A_3$ respectively. Then,