हिंदी

State whether the following statement is True or False: The area bounded by the curve y = f(x) lies on the both sides of the X-axis is |∫abf(x) dx|+|∫bcf(x) dx| - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

State whether the following statement is True or False:

The area bounded by the curve y = f(x) lies on the both sides of the X-axis is `|int_"a"^"b" "f"(x)  "d"x| + |int_"b"^"c" "f"(x)  "d"x|`

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

True

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

संबंधित प्रश्न

Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1.`


Find the area of the region bounded by the parabola y = x2 and y = |x| .


Find the area of the region bounded by the curve y2 = 4x and the line x = 3


Sketch the graph of y = |x + 3| and evaluate `int_(-6)^0 |x + 3|dx`


Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12


Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4 , 1), B (6, 6) and C (8, 4).


Find the area enclosed between the parabola 4y = 3x2 and the straight line 3x - 2y + 12 = 0.


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

y = `sqrt(6x + 4), x = 0, x = 2`


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


Solve the following :

Find the area of the region bounded by the curve xy = c2, the X-axis, and the lines x = c, x = 2c.


The area of the circle x2 + y2 = 16 is ______


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 ______


Find the area of the region bounded by the curve y = `sqrt(2x + 3)`, the X axis and the lines x = 0 and x = 2


Find area of the region bounded by the parabola x2 = 36y, y = 1 and y = 4, and the positive Y-axis


`int "e"^x ((sqrt(1 - x^2) * sin^-1 x + 1)/sqrt(1 - x^2))`dx = ________.


The area of the region bounded by the X-axis and the curves defined by y = cot x, `(pi/6 ≤ x ≤ pi/4)` is ______.


The area of the circle `x^2 + y^2 = 16`, exterior to the parabola `y = 6x`


The area (in sq.units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is ______.


Area bounded by the curves y = `"e"^(x^2)`, the x-axis and the lines x = 1, x = 2 is given to be α square units. If the area bounded by the curve y = `sqrt(ℓ "n"x)`, the x-axis and the lines x = e and x = e4 is expressed as (pe4 – qe – α), (where p and q are positive integers), then (p + q) is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×