Home
Class 12
MATHS
The value of the integral int(1)^(2)e^(-...

The value of the integral `int_(1)^(2)e^(-x)(log_(e )x+(x+1)/(x))dx` is

A

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

B

`e^(2)-e`

C

`e^(2)(1+log_(e )2)-e`

D

`e^(2)-e(1+log_(e )2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2014

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

Similar Questions

Explore conceptually related problems

The value of the integral int_0^1e^(x^2)dx

The value of the integral int_(1)^(e ) (log x)^(2)dx is -

The value of the integral int_(e^(-1))^(e^2)|((log)_e x)/x| dx is (A) 3/2 (B) 5/2 (C) 3 (D) 5

The value of the integral int_0^(log5)(e^xsqrt(e^x-1))/(e^x+3)dx

The value of the integral int_(-a)^(a)(xe^(x^(2)))/(1+x^(2))dx is

The value of integral int_(-1)^(1)(|x+2|)/(x+2)dx is

The value of the integral int_(-1)^(1){(x^(2015))/(e^(|x|)(x^(2) + cos x)) + (1)/(e^(|x|))} dx is equal to

The value of the integral int_ _(1+2sinx)e^(x)dx is equal to-

The value of the integral int_(-1)^(+1){(x^(2013))/(e^(|x|)(x^(2)+cosx))+(1)/(e^(|x|))}dx

The value of the integral int_(-1)^(+1){(x^(2013))/(e^(|x|)(x^(2)+cos x))+(1)/(e^(|x|))}dx is equal to

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. The number of solutions of the equation (1)/(2)log(sqrt(3))((x+1)/(x+5...

    Text Solution

    |

  2. The area of the region bounded by the parabola y=x^(2)-4x+5 and the st...

    Text Solution

    |

  3. The value of the integral int(1)^(2)e^(-x)(log(e )x+(x+1)/(x))dx is

    Text Solution

    |

  4. Let P=1+(1)/(2xx2)+(1)/(3xx2^(2))+ …………. and Q=(1)/(1xx2)+(1)/(3xx4...

    Text Solution

    |

  5. Let f(x)=sin x + 2 cos^(2)x, (pi)/(4)le x le (3pi)/(4). Then f attains...

    Text Solution

    |

  6. Each of a and b can take value 1 or 2 with probability. The probabilit...

    Text Solution

    |

  7. There are two coins, one unbiased with probability (1)/(2) of getting ...

    Text Solution

    |

  8. For the variable t, the locus of the points of intersection of lines 3...

    Text Solution

    |

  9. Cards are drawn one - by - one without replacement from a well shuffle...

    Text Solution

    |

  10. Lines x+y=1 and 3y=x+3 intersect the ellipse x^(2)+9y^(2)=9 at the poi...

    Text Solution

    |

  11. The number of onto functions from the set {1, 2, ……….,11} to the set {...

    Text Solution

    |

  12. The limit of [(1)/(x^(2))+((2013)^(x))/(e^(x)-1)-(1)/(e^(x)-1)] as x t...

    Text Solution

    |

  13. Let z(1)=2+3i and z(2)=3+4i be two points on the complex plane. Then t...

    Text Solution

    |

  14. Let p (x) be a quardractic polynomial constant term 1. Suppose p (x) w...

    Text Solution

    |

  15. Eleven apples are distributed among a girl and a boy. Then which one o...

    Text Solution

    |

  16. Five numbers are in H.P. The middle term is 1 and the ratio of the sec...

    Text Solution

    |

  17. The limit of {(1)/(x)sqrt(1+x)-sqrt(1+(1)/(x^(2)))} as x to 0

    Text Solution

    |

  18. The maximum and minimum values of cos^(6)theta+sin^(6)theta are respec...

    Text Solution

    |

  19. If a, b, c are in A.P., then the straight line ax+2by+c=0 will always ...

    Text Solution

    |

  20. If one end of a diameter of the circle 3x^(2)+3y^(2)-9x+6y+5=0 is (1, ...

    Text Solution

    |