Home
Class 12
MATHS
If An be the area bounded by the curve y...

If `A_n` be the area bounded by the curve `y=(tanx)^n` and the lines `x=0,\ y=0,\ x=pi//4` , then for `n > 2.`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2(n+1)) < A_(n) < 1/(2(n-1))`
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

Let A_n be the area bounded by the curve y=(tanx)^n and the lines x=0,y=0, and x=pi/4dot Prove that for n >2,A_n+A_(n-2)=1/(n-1) and deduce 1/(2n+2)

Find the area bounded by the curves y=4-x^2 and the lines y=0andy=3

Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi/2dot

Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi/2dot

The area bounded by the curve x^(2)=4ay and the line y=2a is

The area bounded by the curve x^(2)=4y and the line x=4y-2 is

The area bounded by the curve y^(2) = 4x and the line 2x-3y+4=0 is

Find the area bounded by the curve y^2=4a x and the lines y=2\ a n d\ y-axis.

The area bound by the curve y=sec x, then x-axis and the lines x=0 and x=pi//4, is

Find the area bounded by the curve y^2=4a^2(x-1) and the lines x=1a n dy=4adot

ARIHANT MATHS ENGLISH-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If An be the area bounded by the curve y=(tanx)^n and the lines x=0,\ ...

    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

    |