Area of the region bounded by the curve $y = \sqrt{x}$ and lines $x + y = 2$, $y = 0$ is

If the area(in square units) bounded by the curves $y^2 = 4x$ and $y = x$ is $\dfrac{k^3}{3}$, then the value of $k$ is:

The area (in sq. units) of the region bounded by the curve $y = 2x^3$, $x$ - axis and ordinates $x = -1$ and $x = 1$ is:

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

Area of region bounded by the curves $x = y^3$, $x = 0$ between $y = -1$ and $y = 2$ is:

The area enclosed by the curve $y^2 = 4ax$ and its latus-rectum is

The area of the smaller region of the circle $x^2 + y^2 = 8$ cut off by the line $x = 2$ is