The area (in $sq. \, units$) of the region bounded by the curves $x^{2}+2y-1=0$,$y^{2}+4x-4=0$,and $y^{2}-4x-4=0$ in the upper half plane is $....$

The area (in sq units) bounded by the curves $y^2=4x$ and $x^2=4y$ is

The area of the region $\{(x, y) \in R^2: y \geq \sqrt{|x+3|}, 5y \leq x+9 \leq 15\}$ is equal to

The following figure shows the graph of a continuous function $y=f(x)$ on the interval $[1,3]$. The points $A, B, C$ have coordinates $(1,1), (3,2), (2,3)$ respectively,and the lines $l_1$ and $l_2$ are parallel,with $l_1$ being tangent to the curve at $C$. If the area under the graph of $y=f(x)$ from $x=1$ to $x=3$ is $4$ sq units,then the area of the shaded region is

The area (in sq. units) of the region $\{(x,y):y^2 \geq 2x, x^2+y^2 \leq 4x, x \geq 0, y \leq 0 \}$ is

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