हिंदी

The area of the region bounded by the curve y2 = x and the Y axis in the first quadrant and lines y = 3 and y = 9 is ______

Advertisements
Advertisements

प्रश्न

The area of the region bounded by the curve y2 = x and the Y axis in the first quadrant and lines y = 3 and y = 9 is ______

रिक्त स्थान भरें
Advertisements

उत्तर

`702/3` sq.units

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.7: Application of Definite Integration - Q.1 (C)

संबंधित प्रश्न

Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line  `x = a/sqrt2`


Find the area of the region lying in the first quadrant and bounded by y = 4x2x = 0, y = 1 and = 4


Find the area of the smaller region bounded by the ellipse `x^2/9 + y^2/4` and the line `x/3 + y/2 = 1`


Find the area of the smaller region bounded by the ellipse `x^2/a^2 + y^2/b^2 = 1` and the line `x/a + y/b =   1`


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


Find the area of the region {(x, y) : y2 ≤ 4x, 4x2 + 4y2 ≤ 9}


Draw a rough sketch and find the area bounded by the curve x2 = y and x + y = 2.


Find the area of the region bounded by the following curves, the X-axis and the given lines:  y = x4, x = 1, x = 5


Find the area of the region bounded by the following curves, the X-axis and the given lines:

y = x2 + 1, x = 0, x = 3


Choose the correct alternative :

Area of the region bounded by the curve x2 = y, the X-axis and the lines x = 1 and x = 3 is _______.


Area of the region bounded by y = x4, x = 1, x = 5 and the X-axis is _______.


State whether the following is True or False :

The area of the portion lying above the X-axis is positive.


The area of the region x2 = 4y, y = 1 and y = 2 and the Y axis lying in the first quadrant is ______


Find the area of the circle x2 + y2 = 16


The area enclosed between the curve y = loge(x + e) and the coordinate axes is ______.


Area bounded by the curve xy = 4, X-axis between x = 1, x = 5 is ______.


The area of the region bounded by the curve y = x IxI, X-axis and the ordinates x = 2, x = –2 is ______.


Which equation below represents a parabola that opens upward with a vertex at (0, – 5)?


The slope of a tangent to the curve y = 3x2 – x + 1 at (1, 3) is ______.


Area of the region bounded by y= x4, x = 1, x = 5 and the X-axis is ______.


The area bounded by the curve | x | + y = 1 and X-axis is ______.


The area bounded by the curve, y = –x, X-axis, x = 1 and x = 4 is ______.


The area bounded by the curve `y = 3/2sqrtx`, the line x = 1 and x-axis is ______ sq. units.


What is the total area bounded by \[y=f(x)\], the \[x\]-axis, and the ordinates \[x=a\] and \[x=b\], when the region is above the \[x\]-axis?


What is the area of an elementary horizontal strip of length \[x\] and infinitesimally small width \[dy\]?


A curve crosses the \[x\]-axis, forming area \[A_1\] below the axis and area \[A_2\] above the axis. What is its total area?


Which standard form corresponds to a region bounded by the \[y\]-axis?


Why is \[y\] taken as positive for the region AOBA of the ellipse \[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]?


Which integral represents the enclosed area of the ellipse after using the positive first-quadrant value of \[y\]?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×