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

The area of the region bounded by the curves `y=x^(3), y=(1)/(x),x=2` is

A

`4-log_(2)2`

B

`(1)/(4)+log_(e)2`

C

`3-log_(e)2`

D

`(15)/(4)-log_(e)2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The area of the region bounded by the curves y=x^(3),y=(1)/(x) between x=1 to x=2 is -

Find the area of the region bounded by the curves y =x^(2) +2, y =x, x =0 and x =3.

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

The area of the region bounded by the curves y=x^(2),y=|2-x^(2)| and y=2 which lies to the right of the line x=1, is

Find the area of the region bounded by the curves y=sqrt(x+2) and y=(1)/(x+1) between the lines x=0 and x=2.

Find the area of the region bounded by the curves y=x^2+2, y=x ,x=0,a n dx=3.

Find the area of the region bounded by the curves 2y^(2)=x, 3y^(2)=x+1, y=0 .

The area (in square unit) of the region bounded by the curves y=x^(3) and y=2x^(2) is-

The area of the region, bounded by the curves y=sin^(-1)x+x(1-x) and y=sin^(-1)x-x(1-x) in the first quadrant is-

Find the area of the region bounded by the curve y=(x-1)(5-x) and x-axis.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

    Text Solution

    |

  2. Examine the consistency of the system of equations x+ y +z=1 2x+...

    Text Solution

    |

  3. Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(...

    Text Solution

    |

  4. Let p,q,r be the altitudes of a triangle with area S and perimeter 2t....

    Text Solution

    |

  5. Let C(1) and C(2) denote the centres of the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  6. A straight line through the point of intersection of the lines x+2y+4=...

    Text Solution

    |

  7. Let P and Q be the points on the parabola y^(2)=4x so that the lines ...

    Text Solution

    |

  8. The incentre of an equilateral triangle is (1,1) and the equation of o...

    Text Solution

    |

  9. The value of lim(x to oo) ((n!)^((1)/(n)))/(n) is

    Text Solution

    |

  10. The area of the region bounded by the curves y=x^(3), y=(1)/(x),x=2 is

    Text Solution

    |

  11. Let y be the solution of the differential equation x(dy)/(dx)=(y^(2))/...

    Text Solution

    |

  12. The area of the region bounded by the curves y=sin^(-1), x+x(1-x) and ...

    Text Solution

    |

  13. The value of the integral int(1)^(5)[|x-3|+|1-x|]dx is equal to

    Text Solution

    |

  14. If f(x) and g(x) are twice differentiable functions on (0,3) satisfyin...

    Text Solution

    |

  15. Let [x] denote the greates integer less than or equal to x, then the v...

    Text Solution

    |

  16. The points representing the complex number z for which arg ((z-2)/(z+2...

    Text Solution

    |

  17. Let a,b,c,p,q,r be positive real numbers such that a,b,c are in G.P an...

    Text Solution

    |

  18. Let S(k) be the sum of an infinite G.P series whose first is k and com...

    Text Solution

    |

  19. The quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots...

    Text Solution

    |

  20. If log(e)(x^(2)-16) le log(e)(4x-11), then

    Text Solution

    |