CUET Mathematics: CalculusApplication of Integrals. Free, no login required.

The area of region $\{(x,y): 9x^2+16y^2\le144, x\ge0, y\ge0\}$ is-

The area (in sq. units) of the region bounded by $y = -1, y = 2, x = y^3$ and $x = 0$ is equal to

The area (in sq. units) of the region enclosed by the curve $9x^2 + 4y^2 = 36$ is

The area (in sq.units) of region bounded by $y^2 = 9x$, $x = 2$, $x = 4$ and the $x$-axis in the first quadrant is

The area of the region bounded by the line $y = 2x$ and the x-axis between $x = -2$ and $x = 2$ is

Area of the region bounded by the curve $y = \sin x$ and x-axis between $x = \frac{\pi}{2}$ and $x = \frac{3\pi}{2}$ is

The area of the smaller region of the circle $x^2 + y^2 = 8$ cut off by the line $x = 2$ is

Area of the region bounded by $y = x^2$ and the line $y = 16$ is

The area (in sq.units) of the region bounded by the curve $y = \cos x$ between $x = -\frac{\pi}{2}, x = \frac{\pi}{2}$ and the x-axis is

The area (in sq.units) of the region bounded by the line $2y + x = 8$, the x-axis and the lines $x = 2$ and $x = 4$ is

The area bounded by the x-axis and the parabola $y = 3x-x^2$ is:

If under pure competition demand and supply functions are given by $p = \sqrt{10 - x}$ and $p = \frac{1}{2}(x-2)$ respectively, where $p$ is price per unit and $x$ is quantity, then the consumer surplus is:

The area of the region bounded by the parabola $y^2 = 8x$ and its latus rectum in the first quadrant, is

Area of the region bounded by the curve $y = \sqrt{x}$ and lines $x + y = 2$, $y = 0$ is

The area of region bounded by the curve $y^2 = 4ax$ and the straight line $x = 2a$, $a > 0$ 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

The area (in sq. units) of the region in the first quadrant bounded by $y = 3\sqrt{1-x^2}$, $x \in [0,1]$ and the x-axis is equal to

The area of the region $\{(x, y): x^2 + y^2 \leq 1 \leq x + y\}$ is

Shown below is the graph of parabola $y^2=x$, the area (in sq. units) of the shaded region is:

The area (in Sq. units) of the region bounded by $y = -2$, $y = 2$, $x = y^3$ and $x = 0$ is equal to

The area of the region bounded by the curves $y = x^2 + 2$, $y = x$, $x = 0$ and $x = 2$ is

The area (in sq. units) of the bigger portion of region enclosed by the curves $4x^2 + 9y^2 = 36$ and $2x + 3y = 6$ is

The area of the region bounded by the parabola $y^2 = x$ and the straight line $2y = x$ 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 of the region bounded by the curves $y = x$ and $y = x^3$ is:

The marginal cost of production of x units of a commodity is $56 + \frac{3}{2}x$. It is known that fixed costs are Rs.115. Then the total cost of producing 50 units 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 of the region bounded by the curve $y = x + 1$, $x = axis$ and the lines $x = 2$ and $x = 3$ is

Area (in sq. units) of the region bounded by the curves $y = -1$, $y = 2$, $x = y^3$ and $x = 0$ is

The area (in sq. units) of the region bounded by the curve $x^2 = 250y$, $y = 0$ and $x = 50$ is