Home
Class 12
MATHS
Sketch the region bounded by the curves ...

Sketch the region bounded by the curves `y=x^2a n dy=2/(1+x^2)` . Find the area.

Text Solution

Verified by Experts

The correct Answer is:
`2((pi)/2-1/3)`
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|10 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

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

Find the area bounded by the curves y=6x-x^2a n dy=x^2-2xdot

The area of the region bounded by the curves y=x^(2)andy=(2)/(1+x^(2)) is

Sketch the curves and identify the region bounded by the curves x=1/2,x=2,y=logxa ny=2^xdot Find the area of this region.

Examples: Find the area of the region bounded by the curve y^2 = 2y - x and the y-axis.

The area of the region bounded by the curves y=|x-1|andy=3-|x| is

Sketch the region bounded by the curves y=x^2+2,\ y=x ,\ x=0\ a n d\ x=1. also, find the area of this region.

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

The area (in sq. units) of the region bounded by the curves y=2-x^(2) and y=|x| is k, then the value of 3k is

ARIHANT MATHS ENGLISH-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Sketch the region bounded by the curves y=x^2a n dy=2/(1+x^2) . Find t...

    Text Solution

    |

  2. Area of the region {(x,y) in R^(2):ygesqrt(|x+3|),5ylex+9le15} is eq...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

    Text Solution

    |

  6. Let S be the area of the region enclosed by y-e^(-x^(2)),y=0, x=0 and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

    Text Solution

    |

  10. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

    Text Solution

    |

  11. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  12. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  13. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  14. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

    Text Solution

    |

  15. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

    Text Solution

    |

  16. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

    Text Solution

    |

  17. The area (in sq. units) of the quadrilateral formed by the tangents ...

    Text Solution

    |

  18. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

    Text Solution

    |

  19. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

    Text Solution

    |

  20. The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and ...

    Text Solution

    |

  21. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

    Text Solution

    |