If the supply function for a commodity is $p = 3+x^3$. Then the producer's surplus, if 10 units of the goods are sold, is:

The area enclosed between $y^2 = 4x$, $x = 1$ and $x = 4$ in first quadrant is :

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 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 (in sq. units) of the region bounded by the curve $y = x^5$, the x-axis and the ordinates $x = -1$ and $x = 1$ is equal to

The area of the region bounded by the curves $y = 1+|x-1|, x=-1, x=2, y=0$ is

Area (in sq. units) of the region bounded by the curve $y^2 = 4x$, $y$-axis and the line $y = 3$ is