The area of the region bounded by the curve $y=\sqrt{9-x^2}$ and x-axis is

Area bounded by the curves $y = x|x|$, $x = -1$, $x = 1$ is

The area bounded by the curve $x^2 = 4y$ and the line $x = 4y - 2$ is :

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

Consider the region bounded by the lines $y - 1 = x, x = -2, x = 3$ and $x$ - axis. Then

(A) The area of the bounded region is given by $\int_{-2}^{3}(x + 1)dx$

(B) The numerical value of the area is $\frac{15}{2}$ sq. units

(C) The numerical value of the area is 8 sq. units

(D) The numerical value of the area is $\frac{17}{2}$ sq. units

Choose the correct answer from the options given below: