The area of the region bounded by the curve $y = x^3$ and the lines $y = 8$ and $x = 0$ is ... square units.

The area of the region (in sq.units) bounded by the curve $y = 2\sqrt{1 - x^2}$ and the X-axis is _____

The area bounded by the curve $y = x\left|\sin\left(\dfrac{x}{2}\right)\right|$ and the X-axis between the lines $x = 0$ and $x = 4\pi$ (in square units), is....

If the area enclosed between the curves $y^2 = 4kx$ and $y = kx, k > 0$ is $\dfrac{2k}{3}$ sq. units then $k = $