The area of the region bounded by the lines $x = 2y + 3, x = 0, y = 1$ and $y = -1$ is:

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:

Area bounded by the curves $y=x^3$, $y=x+6$ and $x=0$ is

The area of the region bounded by $y = -1$, $y = 2$, $x = y^3$ and $x = 0$ is $\frac{m}{n}$ sq. units, where $\gcd(m, n) = 1$, then $m - n$ is equal to:

The demand function for a commodity is $p = 35 - 2x - x^2$, then the consumer's surplus at equilibrium price $p_0 = 20$ 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:

The area bounded by the curve $y = 4 + 3x - x^2$ and $x$-axis is equal to