Area enclosed by the ellipse $9x^2 + 4y^2 = 36$ is . . . . . . sq. units. (in $\pi$)

The area bounded by the parabola $y^{2}=x$,the straight line $y=4$,and the $y$-axis in square units is:

The area enclosed by the curves $y=x|x|$,$x=-1$ and $x=1$ is.......... sq units.

Area of the region (in sq. units) bounded by the curve $y=x^2-5x+4$,$x=0$,$x=2$ and the $X$-axis is

Let $z=x+iy$ be a complex number $(x, y \in R)$. Let $A$ and $B$ be two sets such that $A=\{z:|z| \leq 2\}$ and $B=\{z:(z+2y)+\bar{z} \geq 4\}$. The area of region $A \cap B$ is

If $(a, 0); a > 0$ is the point where the curve $y = \sin 2x - \sqrt{3} \sin x$ cuts the $x$-axis first,and $A$ is the area bounded by this part of the curve,the origin,and the positive $x$-axis,then: