Home
Class 12
MATHS
The value of definite integral I=int(ln...

The value of definite integral `I=int_(ln((sqrt3)/(2)))^(ln((2)/(sqrt3)))ln.((2-tan^(7)x)/(2+tan^(7)x))dx` is equal to

A

`ln4`

B

`ln2`

C

0

D

`ln((1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 88

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 90

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The value of the definite integral int_(0)^((pi)/(3))ln(1+sqrt(3)tan x)dx equals -

The value of definite integral int_(1)^(e)(dx)/(sqrt(x^(2)ln x+(x ln x)^(2))) is

The value of definite integral I=int_(-1/2)^(1/2)sin^(2)x log((1-x)/(1+x))dx is

The value of definite integral I=int_(-1/2)^(1/2)sin^(2)x log((1-x)/(1+x))dx is

The value of definite integral int_(1/3)^(2/3)(ln x)/(ln(x-x^(2)))dx is equal to :

The value of definite integral int_(1/3)^(2/3)(ln x)/(ln(x-x^(2)))dx is equal to

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

The value of definite integral int_(1/3)^(2/3)(ln x)/(ln(x-x^(2)))dx is equal to:

The value of the definite integral I=int_(-1)^(1)ln((2-sin^(3)x)/(2+sin^(3)x))dx is equal to

NTA MOCK TESTS-NTA JEE MOCK TEST 89-MATHEMATICS
  1. Let f:R->R be a function such that f((x+y)/3)=(f(x)+f(y))/3 ,f(0) = ...

    Text Solution

    |

  2. The value of definite integral I=int(ln((sqrt3)/(2)))^(ln((2)/(sqrt3)...

    Text Solution

    |

  3. A ladder rests against a vertical wall at an angle alpha to the horizo...

    Text Solution

    |

  4. If x in (0, 1), then the value of 2tan^(-1)((1-x^(2))/(2x))+2cos^(-1)(...

    Text Solution

    |

  5. Let OABC be a regular tetrahedron with side length unity, then its vol...

    Text Solution

    |

  6. Let A(x(1), y(1)), B(x(2), y(2)), C(x(3), y(3)) and D(x(4), y(4)) are ...

    Text Solution

    |

  7. If a, b, c are sides of the triangle ABC and |(1,a, b),(1,c,a),(1,b,c)...

    Text Solution

    |

  8. The radius of circle, touching the parabola y^(2)=8x at (2, 4) and pas...

    Text Solution

    |

  9. Six married couple are sitting in a room. Number of ways in which 4 pe...

    Text Solution

    |

  10. A real value of a, for which the sum of the roots of the equation x^(2...

    Text Solution

    |

  11. Sum of the first hundred numbers common to the arithmetic progression ...

    Text Solution

    |

  12. sin(9pi)/14sin(11pi)/14sin(13pi)/14 is equal to

    Text Solution

    |

  13. The equation of the projection line of the line (x+1)/(2)=(y+1)/(-1)=(...

    Text Solution

    |

  14. If the points A:(0, a), B:(-2,0) and C:(1, 1) form an obtuse angle tri...

    Text Solution

    |

  15. Let A and B are square matrices of order 3 such that AB^(2)=BA and BA^...

    Text Solution

    |

  16. A hyperbola has foci (4, 2), (2, 2) and it passess through P(2, 4). Th...

    Text Solution

    |

  17. If I(n)=intx^(n)e^(6x)dx, then the expression 6I(10)+10I(9) simplifies...

    Text Solution

    |

  18. In an experiment with 10 observations on x the following results are a...

    Text Solution

    |

  19. If the area bounded by the curves x^(2)+y le 2 and y ge x is (k)/(2) s...

    Text Solution

    |

  20. The solution of the differential equation (dx)/(dy)=(x^(2))/(e^(y)-x)(...

    Text Solution

    |