Home
Class 12
MATHS
The value of int0^1 (8log(1+x))/(1+x^2) ...

The value of `int_0^1 (8log(1+x))/(1+x^2) dx` is

A

`pi/8 log2`

B

`pi/2 log2`

C

log2

D

`pi log2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos

  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(1) (log(1+x)dx)/(1+x^(2)) is -

The value of int_0^oo (dx)/(1+x^4) is

The value of int_(0)^(1)(dx)/(x^(2)+1) is-

Find the value of int_0^1x(1-x)dx

STATEMENT 1 : The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STATEMENT 2 : int_a^bf(x)dx=int_0^bf(a+b-x)dx then Which of the following statement is correct ?

The value of int_(-2)^(2)[p log((1+x)/(1-x))+q log ((1-x)/(1+x))^(-2)+r]dx depends on -

Evaluate : int(log_e(x+1))/((x+1)^2) dx

The value of int_((1)/(e ))^(e )|log x|dx is equal to -

The value of int_(0)^(1) tan^(-1)((1)/(x^(2)-x+1))dx is equal to -

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

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. If I=int0^(pi/4)log(1+tanx) dx then I is equal to

    Text Solution

    |

  2. The value of int(in2)^sqrt(in3) (xsinx^2)/(sinx^2+sin(In6-x^2)dx is

    Text Solution

    |

  3. The value of int0^1 (8log(1+x))/(1+x^2) dx is

    Text Solution

    |

  4. Th value of int(-2)^(2) (xcosx+sinx+1) dx is

    Text Solution

    |

  5. intpi^(16pi) abs(sinx) dx=

    Text Solution

    |

  6. The value of underset(nrarrinfty)lim oversetn underset(r=1) sum (r^3)/...

    Text Solution

    |

  7. The value of int0^pi sin^(50)x cos^(49)x dx is

    Text Solution

    |

  8. If I1=int0^1 2^(x^2)dx , I2=int0^1 2^(x^3) dx , I3= int1^2 2^(x^2) dx ...

    Text Solution

    |

  9. The interval in which f(x) defined by f(x) = int(-1)^x (t^2+2t)(t^2-1)...

    Text Solution

    |

  10. Let f be an odd continous function which is periodic with priod 2 if g...

    Text Solution

    |

  11. Let f(x) = int(-2)^x abs(x+1) dx then

    Text Solution

    |

  12. Let I=int0^(pi/2) (sinx dx)/xthen

    Text Solution

    |

  13. If I= int0^(pi/2) dx/(sqrt(1+sin^3x) then

    Text Solution

    |

  14. int0^pi xf(sinx)dx is equal to

    Text Solution

    |

  15. Let f(x) = { 1-abs(x) , abs(x)le 1 0 , abs(x) gt 1 and g(x) =f(x-1)...

    Text Solution

    |

  16. The values of alpha which satisfy int(pi/2)^alpha sin2alpha (alpha in ...

    Text Solution

    |

  17. Let f(x) = int2^x f(t^2-3t+2) dt then

    Text Solution

    |

  18. Let f(x) be a continous function defined on the closed interval [a,b] ...

    Text Solution

    |

  19. Let f(x) be a continous function defined on the closed interval [a,b] ...

    Text Solution

    |

  20. If f(x) be an increasing function defined on [a,b] then max {f(t) alet...

    Text Solution

    |