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

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

The area (in sq. units) of the region bounded by the lines $y = 2x + 3$, the x – axis and the ordinates $x = -2$ and $x = 2$ is equal to

The area (in sq. units) of the region bounded by the curve $y = \sin x, -2\pi \leq x \leq 2\pi$ and $x - axis$ is equal to

The area (in sq. units) of the region $\{(x,y): 3x^2 \leq y \leq |x|\}$ is equal to

The area (in sq. units) of the region bounded by the curve $y = 2x^3$, $x$ - axis and ordinates $x = -1$ and $x = 1$ is:

The area (in sq. units) of the region enclosed by the ellipse $16x^2 + 25y^2 = 400$ is

The area (in sq. units) of the region bounded by the line $y = x + 2$, $x = 0$, $x = 1$ and $y = 0$ is

The area of the region bounded by the lines $x+2 y=12, x=2, x=6$ and $x$-axis is :

The area of the region bounded by the lines $\frac{x}{7 \sqrt{3} a}+\frac{y}{b}=4, x=0$ and $y=0$ is :

The area of the region enclosed between the curves $4 x^{2}=y$ and $y=4$ is :

The area enclosed between the curves $y = x^2$ and $x = y^2$ is

The area of the region $\{(x, y) : y \geq x^2 \text{ and } y \leq |x|\}$ is

The area enclosed by the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$ is given by :

Calculate the shaded area as given below :

The area enclosed between the curve $x^2 + y^2 = 16$ and the coordinate axes in the first quadrant is :

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

Area of the region bounded by the curve $y = \cos x$ and x-axis between $x = 0$ and $x = \pi$ is :

The area enclosed between the curve $y = x^2 + 2$ and x-axis between $x = 0$ and $x = 3$ is :

Which of the following regions will represent the shaded area in the given figure ?

Area of the region bounded by the curve $|x| + |y| = 1$ and x-axis is :

The area of the shaded portion is :

Area of the region bounded by $y = -1$, $y = 2$, $x = y^3$ and $x = 0$ is :

The area of the region bounded by the curve $x = y^2$ and the line $x = 4$ is equal to :

The area bounded by $x = \sqrt{9 - y^2}$, $x - y + 3 = 0$ and x-axis is :

The area bounded by the parabola $y^2 = 4ax$ and $x^2 = 4ay$ is :

The area (in square units) bounded by the curve $y^2 = 4x$ and the line $x=1$ is :