English

The area of the region bounded by the curve x = y2, y-axis and the line y = 3 and y = 4 is ______. - Mathematics

Advertisements
Advertisements

Question

The area of the region bounded by the curve x = y2, y-axis and the line y = 3 and y = 4 is ______.

Fill in the Blanks

Solution

The area of the region bounded by the curve x = y2, y-axis and the line y = 3 and y = 4 is `37/3` sq.units 

shaalaa.com
  Is there an error in this question or solution?
Chapter 8: Application Of Integrals - Solved Examples [Page 176]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 8 Application Of Integrals
Solved Examples | Q 13 | Page 176

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the area of the region bounded by the curve y = sinx, the lines x=-π/2 , x=π/2 and X-axis


Sketch the region bounded by the curves `y=sqrt(5-x^2)` and y=|x-1| and find its area using integration.


Find the area of the region bounded by x2 = 16y, y = 1, y = 4 and the y-axis in the first quadrant.

 

Find the area of the region \[\left\{ \left( x, y \right): \frac{x^2}{a^2} + \frac{y^2}{b^2} \leq 1 \leq \frac{x}{a} + \frac{y}{b} \right\}\]


Using integration, find the area of the region bounded by the triangle whose vertices are (2, 1), (3, 4) and (5, 2).


Draw a rough sketch of the region {(x, y) : y2 ≤ 3x, 3x2 + 3y2 ≤ 16} and find the area enclosed by the region using method of integration.


Prove that the area in the first quadrant enclosed by the x-axis, the line x = \[\sqrt{3}y\] and the circle x2 + y2 = 4 is π/3.


Using the method of integration, find the area of the region bounded by the following lines:
3x − y − 3 = 0, 2x + y − 12 = 0, x − 2y − 1 = 0.


The area bounded by the curves y = sin x between the ordinates x = 0, x = π and the x-axis is _____________ .


The area bounded by the curve y = f (x), x-axis, and the ordinates x = 1 and x = b is (b −1) sin (3b + 4). Then, f (x) is __________ .


Area bounded by the curve y = x3, the x-axis and the ordinates x = −2 and x = 1 is ______.


The area bounded by the curve y = x |x| and the ordinates x = −1 and x = 1 is given by


Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is


Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices area A(1, 2), B (2, 0) and C (4, 3).


Find the area of the region bounded by the parabolas y2 = 6x and x2 = 6y.


The area enclosed by the circle x2 + y2 = 2 is equal to ______.


The area of the region bounded by the curve y = x2 + x, x-axis and the line x = 2 and x = 5 is equal to ______.


Find the area of the region bounded by the curves y2 = 9x, y = 3x


Find the area of the region bounded by the curve y = x3 and y = x + 6 and x = 0


Find the area of the region bounded by the curve y2 = 4x, x2 = 4y.


The area of the region enclosed by the parabola x2 = y, the line y = x + 2 and the x-axis, is 


Find the area of the region bounded by the curve `y^2 - x` and the line `x` = 1, `x` = 4 and the `x`-axis.


Find the area of the region bounded by the curve `y = x^2 + 2, y = x, x = 0` and `x = 3`


Let T be the tangent to the ellipse E: x2 + 4y2 = 5 at the point P(1, 1). If the area of the region bounded by the tangent T, ellipse E, lines x = 1 and x = `sqrt(5)` is `sqrt(5)`α + β + γ `cos^-1(1/sqrt(5))`, then |α + β + γ| is equal to ______.


The area (in sq.units) of the region A = {(x, y) ∈ R × R/0 ≤ x ≤ 3, 0 ≤ y ≤ 4, y ≤x2 + 3x} is ______.


Let g(x) = cosx2, f(x) = `sqrt(x)`, and α, β (α < β) be the roots of the quadratic equation 18x2 – 9πx + π2 = 0. Then the area (in sq. units) bounded by the curve y = (gof)(x) and the lines x = α, x = β and y = 0, is ______.


Find the area of the smaller region bounded by the curves `x^2/25 + y^2/16` = 1 and `x/5 + y/4` = 1, using integration.


Using integration, find the area of the region bounded by the curve y2 = 4x and x2 = 4y.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×