The area in the first quadrant bounded by $y = 9x^2$, $x = 0$, $y = 1$ and $y = 4$ 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 area of the region bounded by the line $3x - y + 2 = 0$, the $x-axis$ and the ordinates $x = -1$ and $x = 1$ is:

If the area above x-axis, bounded by the curves $y = 3^{\beta x}$, $x = 0$ and $x = 3$ is $\frac{26}{\log_e 3}$, then the value of $\beta$ is:

The area (in sq. units) of the bounded region $\{(x, y): x^2 \le y \le x\}$ is

The area (in square units) of minor segment of the circle $x^2 + y^2 = 25$ cut off by the line $x = \frac{5}{2}$ is

Area of the region bounded by the curve $y = \cos x$ and $x-axis$ between $x = 0$ and $x = \pi$ is: