Home
Class 12
MATHS
The area bounded by y = f(x), x-axis and...

The area bounded by `y = f(x),` x-axis and the line `y = 1,` where `f(x)=1+1/x int_1^xf(t)dt` is

A

2 (e + 1)

B

`2 (1 - (1)/(e ))`

C

2 (e - 1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • AREA

    FIITJEE|Exercise Assignment Problems (Objective) Level - II|20 Videos

  • AREA

    FIITJEE|Exercise Comprehensions|9 Videos

  • AREA

    FIITJEE|Exercise Exercuse 4|4 Videos

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Numerical|3 Videos

  • CIRCLE

    FIITJEE|Exercise Numerical Based|2 Videos

Similar Questions

Explore conceptually related problems

The area bounded by y=f(x), x-axis and the line y=1, where f(x)=1+(1)/(x)int_(1)^(x)f(t)dt is

Find the area bounded by y=x^(2) ,the x- axis and the lines x=-1 and x=1 .

Find the area bounded by y=x^2 , the x- axis and the lines x=-1 and x=1

Area bounded by f(x)=(x^(2)-1)/(x^(2)+1) and the line y = 1 is

Let f(x)=ax^(2)+bx + c , where a in R^(+) and b^(2)-4ac lt 0 . Area bounded by y = f(x) , x-axis and the lines x = 0, x = 1, is equal to :

The area bounded by y=x+1 and y=cos x and the x - axis, is

Find the continuous function f where (x^(4)-4x^(2))<=f(x)<=(2x^(2)-x^(3)) such that the area bounded by y=f(x),y=x^(4)-4x^(2) then y-axis,and the line x=t, where (0<=t<=2) is k xx the area bounded by y=f(x),y=2x^(2)-x^(3),y-axis, and line x=t(where0<=t<=2).

The area of the region bounded by the function f(x) = x^(3) , the x-axis and the lines x = -1 and x = 1 is equal to

The area bounded by the curve |x|=cos^(-1)y and the line |x|=1 and the x-axis is

FIITJEE-AREA-Assignment Problems (Objective) Level - I
  1. P is any point inside or on the boundary of Delta ABC having perimeter...

    Text Solution

    |

  2. If the area bounded by f(x) = sqrt(1 + x^(2) (x gt 0) the line y = x,y...

    Text Solution

    |

  3. The area bounded by y = f(x), x-axis and the line y = 1, where f(x)=1+...

    Text Solution

    |

  4. If A denotes the area bounded by f (x)= |(sin x + cos x)/(x)| x axis, ...

    Text Solution

    |

  5. The area bounded by the curve y = x^2+ 2x + 1, the tangent at (1, 4) a...

    Text Solution

    |

  6. Let S(n) the area of the figure enclosed by a curve y = x^(3) (1 - x^(...

    Text Solution

    |

  7. The area enclosed by [(|3x+4y|)/5]+[(|4x-3y|)/5]=3 is (where [.] denot...

    Text Solution

    |

  8. The area of the smaller region bounded by the circle x^(2) + y^(2) =1 ...

    Text Solution

    |

  9. Area bounded by the curves y = sin (pi x)/(2) and y = x^(3) is equal t...

    Text Solution

    |

  10. The area defined by |2x + y| + |x - 2| le 4 in the x - y coordinate pl...

    Text Solution

    |

  11. Area of the parabolic segment cut by the straight line y = 2 x + 3 off...

    Text Solution

    |

  12. The area bounded by y = min {x - [x] - x, - x - [-x]} and the x axis i...

    Text Solution

    |

  13. If a be the area bounded by y = (X^(2))/(1 + x^(4)) and y = (1)/(2) an...

    Text Solution

    |

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

    Text Solution

    |

  15. The area between the curve y=2x^(4)-x^(2), the x-axis, and the ordinat...

    Text Solution

    |

  16. Area of the region bounded by the curve {(x,y) : (x^(2))/(a^(2)) + (y^...

    Text Solution

    |

  17. Find the area of the region lying inside x^2+(y-1)^2=1 and outside c^2...

    Text Solution

    |

  18. The area of the smallar region in which the curve y = [(x^(3))/(100) +...

    Text Solution

    |

  19. The area bounded by y = (sin x)/(x), x-axis and the ordinates x = 0, x...

    Text Solution

    |

  20. If f(x) = a + bx + cx^(2) where c > 0 and b^(2) - 4ac < 0. Then the ar...

    Text Solution

    |