Home
Class 12
MATHS
The area bounded by the curves y= x^(2)-...

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

A

`(3e^(2)+2e-3)//3e`

B

`(e^(2)+1)//e`

C

`(3e^(2)-2e+3)//3`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

Required area
= `int_(-1)^(1)(x^(2)-2x-1)-(-e^(x)-1)dx` ltBrgt =`(2)/(3)+e-(1)/(e)`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 10

    CAREER POINT|Exercise PART (C) - MATHS|30 Videos

  • MOCK TEST 3

    CAREER POINT|Exercise MATHS|30 Videos

Similar Questions

Explore conceptually related problems

Area bounded by the curves y=x^(2)-1,x+y=3 is

Area bounded by the curve y = x ^(2), the x-axis and the ordinates x =-2 and x =1 is :

The area bounded by the curve y=x(x^(2)-1) and x-axis is

Find the area bounded by the curve y=4x-x^2 , the x-axis and the ordinates x=1 and x=3 .

The area bounded by the curve y=(4)/(x^(2)) , x -axis and the ordinates x=1,x=3 is

Find the area bounded by the curves y^(2)-x-1=0 and y^(2)+x-1=0

Curves y=f(x) passing through the point (0,1) and y=int_-oo^x f(t) dt passing through the point (0,1/3) are such that the tangents drawn to them at the point with equal abscissae intersect on x-axis. Answer the question:The area bounded by the curve y=f(x), y=x and ordinates x=0 and x=1 is (A) (e^2-1)/2 (B) (e^2-1)/3 (C) (e^3-1)/3 (D) none of these

The area in square units bounded by the curves y=x^(3),y=x^(2) and the ordinates x=1, x=2 is

The area (in square units) bounded by the curve y=x^(3), the x -axis and the ordinates at x=-2 and x=1 is

CAREER POINT-MOCK TEST 2-PART ( C)- MATHS
  1. If z is a complex number, then the minimum value of |z|+|z-1| is -

    Text Solution

    |

  2. x+y+z=15 if 9, x, y, z, a are in A.P. while (1)/(X)+(1)/(Y)+(1)/(Z)=(5...

    Text Solution

    |

  3. lim(hto0)(1)/(h)int(x)^(x+h)(dz)/(z+sqrt(z^(2)+1)) is equal to -

    Text Solution

    |

  4. If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 ...

    Text Solution

    |

  5. If f(x) = e^(x), then lim(xto0) (f(x))^((1)/({f(x)})) (where { } deno...

    Text Solution

    |

  6. Let f(x) = x[x], xinz, [.] is GIF then "f"^(')(x) =

    Text Solution

    |

  7. If f(x)={{:(,[x]+[-x],,,xne2 ),(," "lamda,,,x=2):} then f is continuo...

    Text Solution

    |

  8. Let f(x)={x^3-x^2+10 x-5,xlt=1-2x+(log)2(b^2-2),x >1 Find the values ...

    Text Solution

    |

  9. The equations of the perpendicular bisector of the sides AB and perpen...

    Text Solution

    |

  10. If (1,a), (2,b), (c^2,3) are vertices of a triangle then its centroid ...

    Text Solution

    |

  11. A polygon has 25 sides, the lengths of which starting from the smalles...

    Text Solution

    |

  12. The area bounded by the curves y= x^(2)-2x-1, e^(x)+y+1=0 and ordinate...

    Text Solution

    |

  13. Let S be the set of real values of parameter lamda for which the equat...

    Text Solution

    |

  14. If f(x)=x^(3)+ax^(2)+ax+x(tantheta+cottheta) is increasing for all x ...

    Text Solution

    |

  15. If f(x) = { 3 + |x-k|, x leq k; a^2 -2 + sin(x-k)/(x-k), xgtk} has min...

    Text Solution

    |

  16. int(x^(2)-1)/((x^(2)+1)sqrt(x^(4)+1)) dx is equal to -

    Text Solution

    |

  17. The void relation on a set A is

    Text Solution

    |

  18. If 0le[x]lt2,-1le[y]lt1and1le[z]lt3, where [*] denotes the greatest in...

    Text Solution

    |

  19. The system of equations 6x+5y+lamdaz= 0, 3z-y+4z= 0, x+2y-3z=0 has non...

    Text Solution

    |

  20. The median of following frequency distribution is {:(,"Class",,fi),(...

    Text Solution

    |