The area (in sq.units) of the region enclosed by the curve $y = \cos x$, $\frac{-\pi}{2} \leq x \leq \frac{\pi}{2}$ and the x - axis 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 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 enclosed between the curve $x^2 + y^2 = 16$ and the coordinate axes in the first quadrant is :

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

If the area bounded by curves $y = 2^{kx}$, $x = 0$, $x = 2$ in first quadrant is $\frac{3}{\log 2}$, then $k$ is ($k \neq 0$)

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