Home
Class 12
MATHS
Evaluate int0 ^oo log(x+1/x) dx / (1+x...

Evaluate `int_0 ^oo log(x+1/x) dx / (1+x^2)`

A

`pi "log" (1)/(2)`

B

`pi log 2`

C

`(pi)/(2) log 2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (2) Fill in the blanks|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Problem set (3) (Multiple Choice Questions)|38 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (1) True and false|1 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

Similar Questions

Explore conceptually related problems

Evaluate :int_(0)^(1)x log(1+2x)dx

Evaluate int_(0)^(1/2)x log(1-x)dx

Evaluate int_0^1 log(1+x)/(1+x^2)dx

Evaluate: int x log(1+x)dx

Evaluate: int_0^1log(x^2+x+1)dx

Evaluate int (1)/(x log x) dx

Evaluate: int x^(2)log(1+x)dx

Evaluate int _(0) ^(1) ln x dx.

Evaluate : int_(0)^(1)log ((1)/(x) -1) dx

int_0^1 log((x)/(1-x))dx=0

ML KHANNA-DEFINITE INTEGRAL-ProblemSet (2) (Multiple Choice Questions)
  1. If I(1)= int(0)^(pi) x f {sin^(3) x +cos^(2)x} dx and I(2)= pi int(0)^...

    Text Solution

    |

  2. int(0)^(pi) x f (sin x)dx=

    Text Solution

    |

  3. Evaluate int0 ^oo log(x+1/x) dx / (1+x^2)

    Text Solution

    |

  4. int(0)^(pi//2) [2log sin x-log sin 2x] dx=

    Text Solution

    |

  5. If int(0)^(pi) x f(sin x)dx= k int(0)^(pi//2) f(sin x) dx then the val...

    Text Solution

    |

  6. For n gt 0 int(0)^(2pi)(x sin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx= ….

    Text Solution

    |

  7. int(0)^(pi//2) (sin^(2)x)/(sin x+cos x) dx is equal to

    Text Solution

    |

  8. The value of the integral int(0)^(1) x (1-x)^(n) dx is

    Text Solution

    |

  9. If int(0)^(1) x^(m) (1-x)^(n) dx= R int(0)^(1) x^(n) (1-x)^(m) dx, the...

    Text Solution

    |

  10. If I= int(0)^(1) (e^(t))/(1+t) dt, then p= int(0)^(1) e^(t) log (1+t) ...

    Text Solution

    |

  11. int(0)^(pi//2n) (dx)/(1+ cot^(n) nx) is equal to

    Text Solution

    |

  12. The value of the integral underset(0)overset(1)int cot^(-1) (1-x+x^...

    Text Solution

    |

  13. int(0)^(1) tan^(-1) (1-x+x^(2)) dx=

    Text Solution

    |

  14. int(0)^(pi//2) (cos x dx)/(1+ cos x +sin x)=

    Text Solution

    |

  15. Let I= int(0)^(pi//2) (dx)/(1+sin x') then int(0)^(pi) (x^(2) cos x)/(...

    Text Solution

    |

  16. a(n) = int(0)^(pi//2) (sin^(2) nx)/(sin x)dx, then a(2)-a(1), a(3)-a(2...

    Text Solution

    |

  17. If f(x) and g(x) are continuous functions satisfying f(x)= f(a-x) and ...

    Text Solution

    |

  18. If f (x) is monotonic differentiable function on [a,b] then int(a)^(b)...

    Text Solution

    |

  19. Let T >0 be a fixed real number. Suppose f is continuous function such...

    Text Solution

    |

  20. If lim(t to a) (int(a)^(t) f(t)dt-(t-a)/2 (f(t) -f(a)))/(t-a)^(3)= 0, ...

    Text Solution

    |