Find the area of the region bounded by $y^{2}=9x$,$x=2$,$x=4$ and the $x$-axis in the first quadrant.

Find the area enclosed by the circle $x^{2}+y^{2}=a^{2}$.

The area of the region bounded by the parabola $y=x^2$ and the line $y=4$ is . . . . . . sq. units.

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

The area enclosed by the curve $y^2 + x^4 = x^2$ is :

$A$ farmer $F_1$ has a land in the shape of a triangle with vertices at $P(0,0)$,$Q(1,1)$,and $R(2,0)$. From this land,a neighbouring farmer $F_2$ takes away the region which lies between the side $PQ$ and a curve of the form $y = x^n$ $(n > 1)$. If the area of the region taken away by the farmer $F_2$ is exactly $30\%$ of the area of $\triangle PQR$,then the value of $n$ is: