Home
Class 12
MATHS
The area enclosed between the curve y=lo...

The area enclosed between the curve `y=log_(e)(x+e)` and the coordinate axes is

A

4 sq units

B

3 sq units

C

2 sq units

D

1 sq unit

Text Solution

Verified by Experts

The correct Answer is:
D

`A=int_(1-e)^(o)log_(e)(x+e)dx`

Put `x+e=timpliesdx=dt`
`:." "A=int_(1)^(e)logt" dt"=[tlogt-t]_(1)^(e)`
`=(e-e-0+1)=1" sq unit"`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 13

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER II OBJECTIVE TYPE|50 Videos
  • PRACTICE SET 15

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

Plot the curve y=log_(e)(-x)

The area enclosed between the curves y^(2)=x and y=|x| is

The area enclosed by the curve y=(x-1)(x-2)(x-3) between the coordinate axes and the ordinate at x=3 is

The area enclosed between the curves y=|x^(3)| and x=y^(3) is

Find the area enclosed between the curve y=log x_(1), X-axis and ordinates x=(1)/(2) and x=(3)/(2)

The area enclosed between the curves y=(log)_e(x+e),x=(log)_e(1/y), and the x-axis is 2s qdotu n i t s (b) 1s qdotu n i t s 4s qdotu n i t s (d) none of these

What is the area between the curve y=cos3x,0lexle(pi)/6 and the coordinate axes?

Area enclosed between the curve y=x^(2) and the line y = x is

The area enclosed between the curves y = x^(3) and y = sqrt(x) is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 14-Paper 2 (Mathematics)
  1. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

    Text Solution

    |

  2. (d)/(dx)[log(e)e^(sin(x^(2)))] is equal to

    Text Solution

    |

  3. The area enclosed between the curve y=log(e)(x+e) and the coordinate a...

    Text Solution

    |

  4. If f(x)={{:((1-sinx)/(pi-2x),,","xne(pi)/(2)),(lambda,,","x=(pi)/(2)):...

    Text Solution

    |

  5. The value of lim(xto0) ((1-cos2x)sin5x)/(x^(2)sin3x) is

    Text Solution

    |

  6. The differential equation of the family of parabolas with focus at the...

    Text Solution

    |

  7. int(-2)^(2)sin^(3)x|x|dx is equal to

    Text Solution

    |

  8. Find the antiderivative of f(x) = In (In x) + (In x)^-2 whose graph p...

    Text Solution

    |

  9. A basket contains 5 apples and 7 oranges and another basket contains 4...

    Text Solution

    |

  10. For the following linear programming problem minimize Z=4x+6y subject ...

    Text Solution

    |

  11. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

    Text Solution

    |

  12. Which of the following pair of straight lines intersect at right angle...

    Text Solution

    |

  13. If bar u,bar v,bar w are three non coplanar vectors then (bar u+bar ...

    Text Solution

    |

  14. A five digit number is chosen at random. The probability that all the ...

    Text Solution

    |

  15. The output s as a Boolean expression in the inputs x(1),x(2) and x(3) ...

    Text Solution

    |

  16. If int(log"("x+sqrt(1+x^(2))")")/(sqrt(1+x^(2)))dx="gof"(x)+"constant,...

    Text Solution

    |

  17. If y=f(x)" and "ycosx+cosy=pi, then the value of f''(0) is

    Text Solution

    |

  18. The statement (p rArr q) iff (~p ^^ q) is a

    Text Solution

    |

  19. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...

    Text Solution

    |

  20. If log(x)ax,log(x)bx" and "log(x)cx are in AP, where a, b, c and x, be...

    Text Solution

    |