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

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

A

`log_(e ) ((4)/(3))`

B

`4log_(e ) (3//4)`

C

`4log_(e )((4)/(3))`

D

`log_(e )(3//4)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2019

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|73 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx

The value of the integral int_(0)^(2)|x^(2)-1|dx is

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

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

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

The value of the integral int_(-1)^(1)x|x|dx is equal to -

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)^(+1){(x^(2013))/(e^(|x|)(x^(2)+cos x))+(1)/(e^(|x|))}dx is equal to

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

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

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2021-MULTIPLE CHOICE QUESTION
  1. Let f(x) = int2^x f(t^2-3t+2) dt then

    Text Solution

    |

  2. int(1)^(3)(|x-1|)/(|x-2|+|x-3|)dx=

    Text Solution

    |

  3. The value of the integral int(-1//2)^(1//2) {((x+1)/(x-1))^(2)+((x-1...

    Text Solution

    |

  4. If int(log(e^(2)))^(x)(e^(x)-1)^(-1)dx="log"(e )(3)/(2) then the value...

    Text Solution

    |

  5. The normal to a curve at P(x, y) meets the x-axis at G. If the distanc...

    Text Solution

    |

  6. The differential equation of all the ellipses centred at the origin an...

    Text Solution

    |

  7. If x(dy)/(dx) +y= (xf(xy))/(f'(xy)), then |f(xy)| is equal to

    Text Solution

    |

  8. The straight line through the origin which divided the area formed by ...

    Text Solution

    |

  9. The value of int(0)^(5) "max" {x^(2), 6x-8}dx is

    Text Solution

    |

  10. The bulb is placed at the centre of a circular track of radius 10m. A ...

    Text Solution

    |

  11. Two particles A and B move from rest along a straight line with consta...

    Text Solution

    |

  12. Let vecalpha, vecbeta, vecgamma be three non-zero vectors which are pa...

    Text Solution

    |

  13. Let f:R to R be given by f(x) =|x^(2)-1|, x in R. Then

    Text Solution

    |

  14. Let a, b, c be real numbers, each greater than 1, such that (2)/(3)...

    Text Solution

    |

  15. Consider the real valued function h:{0, 1, 2 …..100} to R such that h(...

    Text Solution

    |

  16. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

    Text Solution

    |

  17. If z be a complex number satisfying z^4+z^3+2z^2+z+1=0 then absz is eq...

    Text Solution

    |

  18. Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...

    Text Solution

    |

  19. For x in R, x ne -1, if (1+x)^(2016)+x(1+x)^(2015)+x^(2)(1+x)^(201...

    Text Solution

    |

  20. Five letter words, having distinct letters, are to be constructed usin...

    Text Solution

    |