हिंदी

Find the area of the region bounded by the following curves, X-axis and the given lines : x = 0, x = 5, y = 0, y = 4 - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find the area of the region bounded by the following curves, X-axis and the given lines : x = 0, x = 5, y = 0, y = 4

योग

उत्तर

Required area = `int_0^5 y*dx, "where"  y = 4`

= `int_0^5 4*dx`

= `[4x]_0^5`

= 20 – 0
= 20 sq units.

shaalaa.com
Area Bounded by the Curve, Axis and Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Application of Definite Integration - Exercise 5.1 [पृष्ठ १८७]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 5 Application of Definite Integration
Exercise 5.1 | Q 1.3 | पृष्ठ १८७

संबंधित प्रश्न

Find the area of the region bounded by the following curves, X-axis and the given lines: x = 2y, y = 0, y = 4


Find the area of the region included between y2 = 2x and y = 2x.


Find the area of the region included between y = x2 + 3 and the line y = x + 3.


Choose the correct option from the given alternatives :

The area of the region enclosed by the curve y = `(1)/x`, and the lines x = e, x = e2 is given by


The area enclosed between the parabola y2 = 4x and line y = 2x is ______.


The area of the region bounded by y = cos x, Y-axis and the lines x = 0, x = 2π is ______.


Choose the correct option from the given alternatives :

The area under the curve y = `2sqrt(x)`, enclosed between the lines x = 0 and x = 1 is


Choose the correct option from the given alternatives :

The area of the circle x2 + y2 = 25 in first quadrant is 


Choose the correct option from the given alternatives :

The area of the region bounded by the ellipse `x^2/a^2 + y^2/b^2` = 1 is


Choose the correct option from the given alternatives : 

The area enclosed between the curve y = cos 3x, 0 ≤ x ≤ `pi/(6)` and the X-axis is


Choose the correct option from the given alternatives :

The area bounded by the ellipse `x^2/a^2  y^2/b^2` = 1 and the line `x/a + y/b` = 1 is


Choose the correct option from the given alternatives :

The area bounded by the parabola y = x2 and the line y = x is


Choose the correct option from the given alternatives :

The area of the region included between the parabolas y2 = 4ax and x2 = 4ay, (a > 0) is given by


Choose the correct option from the given alternatives :

The area of the region included between the line x + y = 1 and the circle x2 + y2 = 1 is


Solve the following :

Find the area of the region bounded by the parabola y2 = x and the line y = x in the first quadrant.


Solve the following :

Find the area of the region bounded by the following curve, the X-axis and the given lines : y = sin x, x = 0, x = π


Solve the following :

Find the area of the region lying between the parabolas : 4y2 = 9x and 3x2 = 16y


Solve the following :

Find the area of the region lying between the parabolas : y2 = x and x2 = y.


The area of the region bounded by the curve y = sinx, X-axis and the lines x = 0, x = 4π is ______ sq.units


The area of the region bounded by the ellipse x2/64 + y2/100 = 1, is ______ sq.units


The area bounded by the ellipse `x^2/4 + y^2/25` = 1 and the line `x/2 + y/5` = 1 is ______ sq.units


The area enclosed by the line 2x + 3y = 6 along X-axis and the lines x = 0, x = 3 is ______ sq.units


Find the area bounded by the curve y2 = 36x, the line x = 2 in first quadrant 


Find the area of the region bounded by the curve y = x2, the X−axis and the given lines x = 0, x = 3


Find the area of the region bounded by the curve y2 = 8x, the X−axis and the given lines x = 1, x = 3, y ≥ 0


Find the area of the region bounded by the curve x2 = 12y, the Y−axis and the given lines y = 2, y = 4, x ≥ 0


Using integration, find the area of the region bounded by the line 2y + x = 8 , X−axis and the lines x = 2 and x = 4


Find the area of the region bounded by the parabola x2 = 4y and The X-axis and the line x = 1, x = 4


Find the area of the region bounded by the parabola y2 = 16x and the line x = 4


Find the area of the region bounded by the curve y = sin x, the X−axis and the given lines x = − π, x = π


Find the area of the sector bounded by the circle x2+ y2 = 16, and the line y = x in the first quadrant


Find the area of the region bounded by the curve (y − 1)2 = 4(x + 1) and the line y = (x − 1)


The area bounded by the curve y = x3, the X-axis and the Lines x = –2 and x = 1 is ______.


Find the area of the region bounded by the curve y2 = 4x, the X-axis and the lines x = 1, x = 4 for y ≥ 0.


Find the area of the region bounded by the curve y = x2 and the line y = 4.


Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0, y = 2 and y = 4.


Find the area common to the parabola y2 = x – 3 and the line x = 5.


Find the area bounded by the lines y = 5x – 10, X-axis and x = 5.


Find the area of the region bounded by the curve y = x2, and the lines x = 1, x = 2, and y = 0.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×