Home
Class 12
MATHS
if int2^e [(1/logx)-(1/(logx)^2)] dx=a+(...

if `int_2^e [(1/logx)-(1/(logx)^2)] dx=a+(b/log2)' then

A

a=l , b=2

B

a=l , b=2

C

a=(-l) , b=2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

int [(1)/(logx)-(1)/((logx)^(2))]dx

Prove that, int_(2)^(e)[(1)/(logx)-(1)/((logx)^(2))]dx=e-(2)/(log2)

int[log(logx)+(1)/((logx)^(2))]dx

int [sin(logx)+cos(logx)]dx

Find : int{log(logx)+(1)/((logx)^(2))}dx .

Evaluate: int(logx)/((1+logx)^2)dx

int[sin(logx)+cos(logx)]dx

int_(1)^(e)(dx)/(x(1+logx)^(2))

int_(1)^(e)(1+logx)/(x)dx

Evaluate: int(log(logx)+1/((logx)^2))dx

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. The value of int(pi/6)^((5pi)/6)sqrt(4-4sin^2t)dt

    Text Solution

    |

  2. int0^infty[2/lnx] dx where [] denotes the greatest integer equals

    Text Solution

    |

  3. if int2^e [(1/logx)-(1/(logx)^2)] dx=a+(b/log2)' then

    Text Solution

    |

  4. If I=abs(int2^6 (sinx dx)/(1+x^2) then

    Text Solution

    |

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

    Text Solution

    |

  6. If a continous function f satisfies int0^f(x) t^2 dt=x^2(1+x) for all ...

    Text Solution

    |

  7. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

    Text Solution

    |

  8. A line tangent to the graph of the function y=f(x) at the pointx =a fo...

    Text Solution

    |

  9. The value of int0^(pi/2)log(tanx)dx is

    Text Solution

    |

  10. int(pi/2)^(3pi/2) [2sinx]dx is equal to [x] denotes the greatest integ...

    Text Solution

    |

  11. The value of the integral int0^3 dx/((sqrt(x+1) +sqrt(5x+1)) is

    Text Solution

    |

  12. The solution of the equation intsqrt2^x dx/(xsqrt(x^2-1)=pi/12 is give...

    Text Solution

    |

  13. The value of int(1/e^2)^e abs(logx)dx is

    Text Solution

    |

  14. The integral int0^(pi/2) dx/(x+sqrt(a^2-x^2)) equals

    Text Solution

    |

  15. If I=int0^(pi/4)log(1+tanx) dx then I is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |