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

The area enclosed by the parabolas $y = x^2 - 1$ and $y = 1 - x^2$ is (in $/3$)

For $a>0$, let the curves $C_1: y^2=a x$ and $C _2: x ^2=$ ay intersect at origin O and a point P Let the line $x = b (0 < b < a )$ intersect the chord $O P$ and the x -axis at points Q and R , respectively. If the line $x=b$ bisects the area bounded by the curves, $C _1$ and $C _2$, and the area of $\Delta OQR =\frac{1}{2}$, then ' $a$ ' satisfies the equation

Find the area bounded by the curves $y = ||x - 1| - 2|$ and $y = 2$.

If $f(x)$ is a continuous,increasing,and odd function such that $\int_{-1}^{4} f(x) \,dx = 10$ and $\int_{0}^{1} f(x) \,dx = \frac{3}{2}$,then the area bounded by $y = f(x)$,the $x$-axis,and the ordinates $x = -4$ and $x = 4$ is:

The area enclosed between the curves $y^2 = 4x$ and $y = |x|$ is