The area of the region bounded by the curve $x^2=4y$, the line $x=4y-2$ and x-axis is

The area (in sq. units) of the region bounded by the lines $y = 2x + 3$, the x – axis and the ordinates $x = -2$ and $x = 2$ is equal to

If under pure competition demand and supply functions are given by $p = \sqrt{10 - x}$ and $p = \frac{1}{2}(x-2)$ respectively, where $p$ is price per unit and $x$ is quantity, then the consumer surplus is:

The area of the region lying in the first quadrant and bounded by $y=8x^2, x=0, y=1$ and $y=4$ is:

The area of the region bounded by the line $y = 2x$ and the x-axis between $x = -2$ and $x = 2$ is

The area (in sq. units) of the bigger portion of region enclosed by the curves $4x^2 + 9y^2 = 36$ and $2x + 3y = 6$ is

The area of the smaller region in first quadrant bounded by $x^2+y^2=4$ and $x=\dfrac{3}{2}$ is: