The area (in sq. units) of the region bounded by the curves $y=3x+1$,$y=4x+1$ and the line $x=3$ is:

The figure shows a portion of the graph $y=2x-4x^3$. The line $y=c$ is such that the areas of the regions marked $I$ and $II$ are equal. If $a$ and $b$ are the $x$-coordinates of $A$ and $B$ respectively,then $a+b$ equals:

The area enclosed by the curves $y = \sqrt{x}$ and $x = -\sqrt{y}$,and the circle $x^2 + y^2 = 2$ above the $x$-axis,is

The area (in sq.units) of the region bounded by the parabolas $y^2=4x$ and $y^2=4(4-x)$ is

The area (in square unit) of the region enclosed by the curves $y=x^2$ and $y=x^3$ is

The area enclosed by the parabolas $y = x^2 - 1$ and $y = 1 - x^2$ is (in $/3$)