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:

Area of the bounded region between the curve $y = |x - 2|$ and the line $y = 2$ is:

The area of the region $\{(x,y): x^2 \le y \le x\}$ is:

Area bounded by the curves $y = \cos^2 x, x = 0, y = 0$ and $x = \pi$, is:

The area of the region bounded by the lines $x+2 y=12, x=2, x=6$ and $x$-axis is :

The line $y = x$, partition the area of the circle $(x-1)^2 + y^2 = 1$, into two segments. The area of the major segment is

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