The area of the region bounded by the curves $y = 1+|x-1|, x=-1, x=2, y=0$ is

The area (in sq. units) bounded by the curves $x = y^2$ and $x = y$ in the first quadrant is:

The area (in sq. units) of the region bounded by the parabola $y^2 = 8x$ and the line $x = 2$ is

Calculate the shaded area as given below :

Evaluate $\int_0^{\frac{1}{3}} y \, dx$

If the area bounded by curves $y = 2^{kx}$, $x = 0$, $x = 2$ in first quadrant is $\frac{3}{\log 2}$, then $k$ is ($k \neq 0$)

The area (in sq. units) of the region bounded by $y = -1, y = 2, x = y^3$ and $x = 0$ is equal to