Home
Class 12
MATHS
The integral int[-1/2]^[1/2]([x]+log([1+...

The integral `int_[-1/2]^[1/2]([x]+log([1+x]/[1-x])).dx` equals

A

`-1//2`

B

`0`

C

`1`

D

`2 log (1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ) Single Correct Answer Type Questions|33 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|16 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Concept-based) Single Correct Answer Type Questions|10 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

The integral int_( -1//2)^(1//2) {[x]+ in ((1+x)/(1-x))} dx equals

The value of the integral int_(-1//2)^(1//2) cos x log((1+x)/(1-x))dx , is

The value of definite integral I=int_(-1/2)^(1/2)sin^(2)x log((1-x)/(1+x))dx is

The value of definite integral I=int_(-1/2)^(1/2)sin^(2)x log((1-x)/(1+x))dx is

int_(-1//2)^(1//2)(cosx)[log((1-x)/(1+x))]dx is equal to

Evaluate the following integrals: int_(-1/2)^(1/2) cos x log ((1+x)/(1-x))dx

the integral int_(0)^((1)/(2))(ln(1+2x))/(1+4x^(2))dx equals

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-SOLVED EXAMPLES (LEVEL 1 ) Single Correct Answer Type Questions
  1. The value of int(0)^(2) x^([x^(2) +1]) dx, where [x] is the greatest i...

    Text Solution

    |

  2. Let f(x)=int1^xsqrt(2-t^2)dtdot Then the real roots of the equation , ...

    Text Solution

    |

  3. The integral int[-1/2]^[1/2]([x]+log([1+x]/[1-x])).dx equals

    Text Solution

    |

  4. The value I= int(-1)^(1) ( cos^(-1) x + (x^(7) -3x^(5) + 7x^(3) -x) /(...

    Text Solution

    |

  5. The value of I=int(-pi//2)^(pi//2) sqrt( cos x - cos^(3) x)" "dxis

    Text Solution

    |

  6. If n in N, the value of int(0)^(n) [x] dx (where [x] is the greatest i...

    Text Solution

    |

  7. If F(x) =int(3)^(x) (2 + (d)/( dt) cos t) dt then F'(pi/6) is equal to

    Text Solution

    |

  8. The value of underset(nrarrinfty)(lim)(1)/(n).sum(r=1)^(2n)(r)/(sqrt(n...

    Text Solution

    |

  9. The value of the integral int(0)^(n pi +1) (| cosx|+|sin x|) dx is

    Text Solution

    |

  10. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

    Text Solution

    |

  11. The value of int(0)^(pi//2)(dx)/(1+tan^(3)x) is

    Text Solution

    |

  12. The value of int(0)^(4) 3^(sqrt(2x+1) )dx is

    Text Solution

    |

  13. int0^1x(1-x)^(99)dx=

    Text Solution

    |

  14. The value of sum(n=1)^1000 int(n-1)^n e^(x-[x])dx, where [x] is the gr...

    Text Solution

    |

  15. Let f : R -> R and g : R -> R be continuous functions. Then the value...

    Text Solution

    |

  16. If f(x) = (1+ tanx) (1+ tan (pi//4 - x)) and g(x) is a function with d...

    Text Solution

    |

  17. Find lim(n->oo) Sn ; if Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-...

    Text Solution

    |

  18. Evaluate: int(-pi)^(3pi)log(s e ctheta-t a ntheta)dtheta

    Text Solution

    |

  19. The value of int(0)^(oo) (dx)/((x^(2)+4)(x^(2)+9) ) is

    Text Solution

    |

  20. Evaluate int-1 3/2|xsin(pix)|dx

    Text Solution

    |