Home
Class 12
MATHS
The area between the curve y=x^2, x-axis...

The area between the curve `y=x^2`, x-axis and the lines x=0 and x=2 is :

A

`2/3` sq.units

B

4 sq.units

C

`8/3` sq.units

D

`4/3` sq.units

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

Similar Questions

Explore conceptually related problems

The area between the curve y=2x^4-x^2, the axis, and the ordinates of the two minima of the curve is

Area enclosed between thhe graph of y= x^2 x-axis and the lines x= -1, x= 1 is

Fill in the blanks Area enclosed by the curve y = x^(1//3) , the x-axis and the lines x= 1 and x= 8 is…….. .

Find the area enclosed between the curve y ^2= 8x and the line x= 2.

Fill in the blanks The area of the region bounded by the curve y = x^2+x , the x-axis and the lines x= 2, x= 5 is……… .

Area lying between the curve y^2 = 4x and the line y = 2x is :

(i) Make a rough sketch of the graph of the function y=sin x, 0lexlepi/2 and determine the area enlosed between the curve, the, the x-axis and the line x=pi/2 .

Area lying between the curve y^2 = 4x and the line y = 4x is :

Make a rough sketch of the graph of y= x^2 and compute the area under the curve, above the x-axis and the line x= 22 and x= 4.

Find the area bounded between the curve y^(2)=x and the line x=3.

MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. The area bounded by the curve y=f(x), above the x-axis, between x=a an...

    Text Solution

    |

  2. The area of the circle x^2+y^2=a^2 is :

    Text Solution

    |

  3. The area between the curve y=x^2, x-axis and the lines x=0 and x=2 is ...

    Text Solution

    |

  4. Find the area of the region enclosed by the parabola y^2 = 9x and the ...

    Text Solution

    |

  5. The area bounded by the curve y=4 sin x, x-axis from x=0 to x=pi is eq...

    Text Solution

    |

  6. The area bounded by y = 2-|2-x| and y=3/|x| is:

    Text Solution

    |

  7. The area in square units of the region bounded by y^2=9x and y=3x is:

    Text Solution

    |

  8. The area of the figure bounded by the curves y=e^(x),y=e^(-x) and the ...

    Text Solution

    |

  9. The area of the region bounded by the curves: y=x^2 and x=y^2 is:

    Text Solution

    |

  10. The area of the region bounded by the curves: y=x^2 and x=y^2 is:

    Text Solution

    |

  11. The area of the region bounded by the curves: y=x^3, y=1/x, x=2 is

    Text Solution

    |

  12. The area of the plane region bounded by the curves x+2y^(2)= and x+3y^...

    Text Solution

    |

  13. The area of the region bounded by the parabola (y-2)^(2)=x-1, the tang...

    Text Solution

    |

  14. The area bounded by the curves y=cos x and y=sin x between the ordinat...

    Text Solution

    |

  15. The area of the region enclosed by the curve y=x, x=e,y=1/x and the po...

    Text Solution

    |

  16. If the straight line x=b divide the area enclosed by y=(1-x)^(2),y=0 a...

    Text Solution

    |

  17. Let f:[-1,2] to [0,oo] be a continuous function such that f(x)=f(1-x),...

    Text Solution

    |

  18. The area bounded by the curves y^2=4x and x^2=4y is :

    Text Solution

    |

  19. The area bounded between the parabola x^(2)=y/4 and x^(2)=9y and the s...

    Text Solution

    |

  20. The area (in sqaure units) bounded by the curves: y=sqrtx, 2y-x+3=0, x...

    Text Solution

    |