Home
Class 12
MATHS
Find : int(sqrt(x^2+1)(log(x^2+1)-2logx)...

Find : `int(sqrt(x^2+1)(log(x^2+1)-2logx)/(x^4)dx`

A

`((x^2+1)^(3//2))/(x^3)[(2)/(3)-log((x^2+1)/(x^2))]+C`

B

`((x^2+1)^(3//2))/(3x^3)[log((x^2+1)/(x^2))]+C`

C

`((x^2+1)^(3//2))/(3x^3)[(2)/(3)-log((x^2+1)/(x^2))]+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|26 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise LEVEL 1|135 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate int sqrt(x^2+1)[log(x^2+1)-2logx]/(x^4)dx

Integrate the functions (sqrt(x^2+1)[log(x^2+1)-2logx])/(x^4)

Evaluate int(sqrt(x^(2)+1){log_(e)(x^(2)+1)-2logx}dx)/(x^(4)) .

Evaluate : int (sqrt(x^(2) + 1) ( log (x^(2) + 1) - 2 log x))/( x^(4)) dx

int((x+1)(x+logx)^2)/(2x)dx

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

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

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

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

Evaluate: int(sqrt(1+x^2))/(x^4)dx

VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-LEVEL 2
  1. about to only mathematics

    Text Solution

    |

  2. int x^(13/2) (1+x^(5/2))^(1/2) dx = P(1+x^(5/2))^(7/2)+Q(1+x^(5/2))^(5...

    Text Solution

    |

  3. Find : int(sqrt(x^2+1)(log(x^2+1)-2logx)/(x^4)dx

    Text Solution

    |

  4. Evaluate: int(x^2)/((xsinx+cosx)^2)\ \ dx

    Text Solution

    |

  5. The value of inte^x((x^3+x+1))/(1+x^2)^(3/2)dx is equal to (A) xe^x(1+...

    Text Solution

    |

  6. int(2)/((2-x)^(2))root3((2-x)/(2+x))dx is equal to

    Text Solution

    |

  7. int(root(3)(1+root(4)(x)))/(sqrtx)\ dx is equal to :

    Text Solution

    |

  8. int\ (root(3)x)(root(5)(1+root(3)(x^4)))dx

    Text Solution

    |

  9. int(x-x^5)^(1/5) / x^6 dx

    Text Solution

    |

  10. int dx/(x(1+root(3)(x))^2) is equal to : (i)3log(x^(1/3)/(1+x^(1/3))+...

    Text Solution

    |

  11. int(1)/(x^(1//2)(1+x^(2))^(5//4))dx is equal to

    Text Solution

    |

  12. int((x-2)^3)/x^2dx=?

    Text Solution

    |

  13. If f(x)=int(2+sqrt(x))/((x+1+sqrt(x))^2)dx and f(0)=0 then the valu...

    Text Solution

    |

  14. If f(x)=int((5x^4+4x^5))/((x^5+x+1)^(2))dx and f(0)=0, then the value ...

    Text Solution

    |

  15. For any natural number t,int(x^(3t)+x^(2t)+x^(t))(2x^(2t)+3x^(t)+6)^(1...

    Text Solution

    |

  16. If l^(r )(x) means log log log … x, the log being repeated r times, th...

    Text Solution

    |

  17. The value of inte^(secx)*sec^3x(sin^2x+cosx+sinx+sinxcosx)dx is

    Text Solution

    |

  18. The value of int ((ax^(2)-b)dx)/(xsqrt(c^(2)x^(2)-(ax^(2)+b)^(2))) is ...

    Text Solution

    |

  19. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

    Text Solution

    |

  20. int (x^4-1)/(x^2)sqrt(x^4+x^2+1) dx equal to (A) sqrt((x^4+x^2+1)/x) +...

    Text Solution

    |