The area (in square units) bounded by the line $y = x$, the X-axis and the lines $x = -2$ and $x = 4$ is...

The area of the region bounded by curves $y = \sin x, y = \cos x$ and the lines $x = 0$, $x = \dfrac{\pi}{4}$ is

The area of the region bounded by the lines $2x - y + 1 = 0,\ y = -1,\ y = 3$ and the y-axis is _____

Area enclosed by curve $y = 2x^2$ and lines $x \geq 1,\ y \leq 4$ is ..... sq. units