The area of the smaller region in first quadrant bounded by $x^2+y^2=4$ and $x=\dfrac{3}{2}$ is:

The portion of the area enclosed by the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, that lies in the first quadrant is

The supply function for a commodity is $p = x^2 + x + 3$. The producer's surplus when $x = 3$ is,

The area of region bounded by the curve $y^2 = 4ax$ and the straight line $x = 2a$, $a > 0$ in the first quadrant is:

The area of the region enclosed between the parabola $y = \frac{3x^2}{4}$ and the line $3x - 2y = 12$ is,

The area of the region bounded by the parabola $y^2 = 4ax$ and its latus rectum is:

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