The area bounded by the curve $y = 4 + 3x - x^2$ and $x$-axis is equal to

The area of the region bounded by the curves $y = x$ and $y = x^3$ is:

The area of the region lying in the first quadrant and bounded by $y=8x^2, x=0, y=1$ and $y=4$ is:

Area of region bounded by the curves $x = y^3$, $x = 0$ between $y = -1$ and $y = 2$ is:

The area bounded by $2x+y=8, y=a$ and $y=a+2$ with y-axis is 5 sq.units where $a>0$, then the value of $a$ is:

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

The area of the region bounded by the lines $\frac{x}{7 \sqrt{3} a}+\frac{y}{b}=4, x=0$ and $y=0$ is :