Home
Class 12
MATHS
Area of the region bounded by the curve ...

Area of the region bounded by the curve `y=e^(x)` and lines`x=0` and `y=e` is

A

`e-1`

B

`int_(1)^(e)In(e+1-y)dy`

C

`e-int_(0)^(1)e^(x)dx`

D

`int_(0)^(e) In y dy`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|17 Videos

  • BIONOMIAL THEOREM

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

Similar Questions

Explore conceptually related problems

Area of the region bounded by the curve y=tanx and lines y = 0 and x = 1 is

Find the area of the region bounded by the curves y=x^(3) and the lines y=x+6 and y=0

The area of the region bounded by the curve y = x ^(2) and the line y =16 is :

The area of the region bounded by the curve y=x^(3) , and the lines , y=8 and x=0, is

Find the area of the region bounded by the curve y^(2)=x and the lines x=1,x=4 and the x-axis.

Find the area of the region bounded by the curve y-3 and the lines y=x+6 and y=0

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

The area (in sq units) of the region bounded by the curve y=sqrt(x) and the lines y=0,y=x-2, is

The area of the region bounded by the curve y=2x+3 ,x-axis and the lines x=0 and x=2 is

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The area enclosed by the curvesy= sinx+cosx and y = | cosx-sin x | ove...

    Text Solution

    |

  2. Let S be the area of the region enclosed by y=e^-x^2,y=0,x=0,a n dx=1....

    Text Solution

    |

  3. Let f:[-1,2]vec[0,oo) be a continuous function such that f(x)=f(1-x)fo...

    Text Solution

    |

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

    Text Solution

    |

  5. Area of the region bounded by the curve y=e^(x) and linesx=0 and y=e i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The area of the region described by A = {(x,y) : x^2 + y^2 lt= 1and y^...

    Text Solution

    |

  15. The area (in square units) bounded by the curves y=sqrt(x),2y-x+3=0, x...

    Text Solution

    |

  16. The area bounded between the parabola x^(2)=y/4 and x^(2)=9y and the s...

    Text Solution

    |

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

    Text Solution

    |

  18. The area bounded by the curves y=cosx and y=sinx between the ordinates...

    Text Solution

    |

  19. The area of the region bounded by the parabola (y-2)^(2) = x- 1, the t...

    Text Solution

    |

  20. The area of the plane region bounded by the curves x""+""2y^2=""0 and ...

    Text Solution

    |