Home
Class 12
MATHS
\int{2}^a[1/log x - 1/(log x)^2] dx = a ...

`\int_{2}^a[1/log x - 1/(log x)^2] dx = a + b/ log 2` A) a=e, b=-2 B) a=e, b=2 C) a=-e, b=2 D) a=-e, b=-2

A

a=e, b=-2

B

a=e, b=2

C

a=-e, b=2

D

a=-e, b=-2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Definite integration

    CHETANA PUBLICATION|Exercise Exercise|111 Videos

  • BINOMIAL DISTRIBUTION

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

Similar Questions

Explore conceptually related problems

If int _(2)^(e) (1/(logx)-1/(logx)^(2))dx = alpha + beta/(log2) , then

int(e^(a log x)+e^(x log a)) dx =

int_(1)^(2)x log x dx =

int e^x[tanx -log(cosx)] dx =

If int_0^1 x log(1+x/2) \ dx=a+b log\ 2/3, then a and b are

int x^x (1+ log x) dx =............. A) (1/2) (1+log x)^2 +c B) x^(x) + c C) x^x log x + c D) x^2 + c

\int_{2}^3 frac{1}{x ( x^2 -1)} dx is.......... A) (1/2) log (32/27) B) 2 log (32/27) C) -1/2 log (32/27) D) (-1/3) log(189/208)

CHETANA PUBLICATION-Definite integration-Exercise
  1. \int{0}^1 frac{dx}{sqrt (1+x) - sqrt x} = k/3, then k is equal to........

    Text Solution

    |

  2. \int{1}^2 frac{1}{x^2} e^(1/x) dx =................ A) sqrt e +1 B) s...

    Text Solution

    |

  3. \int{2}^a[1/log x - 1/(log x)^2] dx = a + b/ log 2 A) a=e, b=-2 B) ...

    Text Solution

    |

  4. Let I1= \int{e}^ {e^2} dx/log x and I2= \int{1}^2 frac{e^x}{x} dx, th...

    Text Solution

    |

  5. \int{0}^9 frac{sqrt x}{ sqrt x + sqrt (9-x)} dx=............. A) 9/2 B...

    Text Solution

    |

  6. The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...

    Text Solution

    |

  7. The value of I=\int{0}^(pi/2) frac{1}{1+cot x} dx is........... A) pi...

    Text Solution

    |

  8. The value of \int{0}^(pi) frac{x}{4 cos^2 x + 9 sin^2 x} dx is...........

    Text Solution

    |

  9. The value of \int{0}^1 x(1-x)^99 dx is........... A) 1/10100 B) 11/1...

    Text Solution

    |

  10. The value of \int{-pi/2}^(pi/2) x sqrt (cos x - cos^2 x) dx is...........

    Text Solution

    |

  11. The value of\int{0}^(pi/2) frac{1}{1+tan^3 x} dx is........... A) 0 B...

    Text Solution

    |

  12. The value of \int{- pi }^(2 pi ) log(sec theta - tan theta ) d theta...

    Text Solution

    |

  13. The value of I= \int{0}^43^(sqrt (2x+1)) is...........

    Text Solution

    |

  14. \int{0}^oo frac{1}{(x^2+4)(x^2+9)}dx=................ (A) pi/30 (B) ...

    Text Solution

    |

  15. \int{0}^((pi)/4) frac{sin x + cos x}{3+ sin 2x}dx =................ (...

    Text Solution

    |

  16. \int{pi/4}^((3pi)/4) frac{1}{1+ cos x}dx=................

    Text Solution

    |

  17. \int{0}^(pi^2/4) sin sqrt x dx =.........

    Text Solution

    |

  18. \int{0}^((pi)/4) log(1+2tantheta + tan^2theta) dtheta =.........

    Text Solution

    |

  19. \int{a}^b sqrt ((x-a)(b-x)) dx is equal to........

    Text Solution

    |

  20. \int{0}^((pi)/2) sqrt sin2 theta sin theta dtheta is .........

    Text Solution

    |