Home
Class 12
MATHS
The value of int(1)^(7sqrt(2)) (1)/(x(2x...

The value of `int_(1)^(7sqrt(2)) (1)/(x(2x^(7)+1)dx` is

A

`log(6//5)`

B

`6log(6//5)`

C

`(1//7)log(6//5)`

D

`(1//12)log(6//5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 1|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

4.The value of int_(1)^(2(1)/(7))(1)/(x(2x^(7)+1))dx

int_(1)^(2)sqrt(1+x)dx

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

int(1)/(sqrt(7-2x))dx

The value of int(1+logx)/(sqrt((x^(x))^(2)-1))dx " is "

The value of the integral int_(1)^(sqrt(2) +1) ((x^2 -1)/(x^2+1)) (1)/(sqrt(1 +x^4)) dx is

int_(1)^(2)(1)/(x sqrt(x^(2)-1))dx=

The value of int_(1)^(3)(sqrt(1+(x-1)^(3))+(x^(2)-1)^(1/3)+1)dx is __________.

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

The value of int_(0)^(4) 3^(sqrt(2x+1) )dx is

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int(-pi//2)^(pi//2) log((a-sin theta)/(a+sin...

    Text Solution

    |

  2. The value of the integral int(pi//3)^(pi//3) (x sinx)/(cos^(2)x)dx, is

    Text Solution

    |

  3. The value of int(1)^(7sqrt(2)) (1)/(x(2x^(7)+1)dx is

    Text Solution

    |

  4. The value of int(-1)^(3) (|X2|+[x]dx is ([x] stands for greatest integ...

    Text Solution

    |

  5. If f(x)==|{:(sinx+sin2x+sin3,xsin2,xsin3x),(3+4sinx,3,4sinx),(1+sinx,s...

    Text Solution

    |

  6. Evaluate: ("lim")(xvecoo)((int0xe^x^2dx)^2)/(int0x e^(2x)^2dx)

    Text Solution

    |

  7. The value of int(1)^(4) e^(sqrt(x))dx, is

    Text Solution

    |

  8. The value of int(0)^(1000) e^(x-[x])dx, is

    Text Solution

    |

  9. The value of the integral int(0)^(100) sin(x-[x])pidx, is

    Text Solution

    |

  10. The difference between the greatest and least values of the function p...

    Text Solution

    |

  11. The value of int0^1 (2^(2x+1)-5^(2x-1))/(10^(x))dx is

    Text Solution

    |

  12. The value of int(0)^(pi//2) (cos3x+1)/(2 cos x-1) dx is

    Text Solution

    |

  13. The value of int(0)^(16pi//3) |sinx|dx is

    Text Solution

    |

  14. If int(0)^(npi) f(cos^(2)x)dx=k int(0)^(pi) f(cos^(2)x)dx, then the va...

    Text Solution

    |

  15. The value of int(-pi)^(pi) sinx f(cosx)dx is

    Text Solution

    |

  16. If a lt int(0)^(2pi)) (1)/(10+3 cos x)dx lt b. Then the ordered pair (...

    Text Solution

    |

  17. The value of the integral int0^(oo) (x logx)/((1+x^(2)))dxis

    Text Solution

    |

  18. The value of the integral int(-pi//2)^(pi//2) sqrt(cos -cos^(2)x)dx is

    Text Solution

    |

  19. The value of the integral int(-pi//2)^(pi//2) sqrt((1+cos^(2)x)/(2))dx...

    Text Solution

    |

  20. Let I(1)=int(1)^(2)(1)/(sqrt(1+x^(2)))dx and I(2)=int(1)^(2)(1)/(x)dx....

    Text Solution

    |