Home
Class 12
MATHS
The area of the figure bounded by the cu...

The area of the figure bounded by the curves `y = lnx" & " y = (lnx)^(2)` is

A

e + 1

B

e - 1

C

3 - e

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 2 (LEVEL-I)|25 Videos
  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 2 (LEVEL-II)|4 Videos
  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

Similar Questions

Explore conceptually related problems

The area of the figure bounded by the curve |y|=1-x^(2), is

The area of the region bounded by the curves y=x^(2) " and " x=y^(2) is

The area of the figure bounded by the curves y^(2)=2x+1 and x-y-1=0 , is

The area bounded by the curves y = x^(3) and y = x is

The area of the closed figure bounded by the curves y=cosx,y =1+(2)/(pi)x and x=pi//2, is

The area of the region bounded by the curve y = x^(2) and y = |x| is equal to

Find the area bounded by the curves y=logx and y=(logx)^2 .

Find the area bounded by the curves y=x and y=x^(3)

The area of the region bounded by the curves x=y^(2)-2 and x=y is

MOTION-AREA UNDER THE CURVE-EXERCISE - 1
  1. The area between the curve y = e^(x) and x-axis which lies between x =...

    Text Solution

    |

  2. The area bounded by the curve y = 1 + 8//x^(2), x-axis, x = 2 and x = ...

    Text Solution

    |

  3. The area bounded by curves y = tan x, x-axis and x= pi/3 is-

    Text Solution

    |

  4. The area enclosed by the curve y^2 +x^4=x^2 is

    Text Solution

    |

  5. If (a,0), agt 0, is the point where the curve y=sin 2x-sqrt3 sin x cut...

    Text Solution

    |

  6. The area of the region for which 0<y<<3-2x-x^2a n dx>>0 is

    Text Solution

    |

  7. The area of the figure bounded by the curves y = lnx" & " y = (lnx)^(2...

    Text Solution

    |

  8. The area enclosed by the curves y = cos x, y = 1+sin 2x and x= (3pi)/...

    Text Solution

    |

  9. The area of the region (s) enclosed by the curves y = x^(2) and y= sqr...

    Text Solution

    |

  10. The curve f(x) = Ax^(2) + Bx + C passes through the point (1, 3) and l...

    Text Solution

    |

  11. Let f(x)=x^3+3x+2 and g(x) be the inverse of it. Find the area bounde...

    Text Solution

    |

  12. Find the area of the smaller region bounded by the ellipse (x^2)/(a^2...

    Text Solution

    |

  13. The area of the closed figure bounded by y=x , y=-x , y=-x and the tan...

    Text Solution

    |

  14. The area bounded by the curve y=xe^(-x);xy=0and x=c where c is the x-c...

    Text Solution

    |

  15. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

    Text Solution

    |

  16. Consider two curves C1:y =1/x and C2.y=lnx on the xy plane. Let D1, de...

    Text Solution

    |

  17. The area bounded by the curve y=f(x), X-axis and ordinates x=1 and x=b...

    Text Solution

    |