The area of the region bounded by curves $y=3 x+1, y=4 x+1$ and $x=2$ is

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

The area of the region lying in the first quadrant by $y=4 x^2, x=0, y=2, y=4$ is

The area (in sq. units) of the region $\left\{(x, y) / x \geq 0, x+y \leq 3, x^2 \leq 4 y\right.$ and $\left.y \leq 1+\sqrt{x}\right\}$ is