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

The area (in sq. units) of the portion lying above the $X$-axis and enclosed between the curves $y^2=2ax-x^2$ and $y^2=ax$ is

The area of the region (in sq. units) enclosed between the curves $y=|x|$,$y=[x]$ and the ordinates $x=-1$,$x=0$,$x=1$ is

The area bounded by the curves $y = (x + 1)^2$,$y = (x - 1)^2$ and the line $y = \frac{1}{4}$ is

The area (in square units) enclosed between the curves $y=\sin x$ and $y=\cos x$ for $\frac{\pi}{4} \leq x \leq \frac{5 \pi}{4}$ is

$OABC$ is a unit square where $O$ is the origin and $B=(1,1)$. The curves $y^2=x$ and $x^2=y$ divide the area of the square into three parts $a_1, a_2, a_3$. If $a_1, a_2, a_3$ are the areas (in sq units) of these parts respectively,then $a_1+2a_2+3a_3=$