Home
Class 12
MATHS
The value of int0^1 tan^(-1) ((2x-1)/(1+...

The value of `int_0^1 tan^(-1) ((2x-1)/(1+x-x^2))dx` is:

A

1

B

0

C

-1

D

`pi/4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    PSEB|Exercise Exercise|267 Videos

  • DIFFERENTIAL EQUATIONS

    PSEB|Exercise Exercise|116 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    PSEB|Exercise Exercise|54 Videos

Similar Questions

Explore conceptually related problems

The value of int_(-1)^(1)((x^(2)+ sin x)/(1+x^(2)))dx is equal to

The value of int_0^1 4x^3{(d^2)/(dx^2)(1-x^2)^5}dx is

The value of int_(0)^(1)(x^(4)(1-x)^(4))/(1+x^(2))dx is (are)

Evaluate : int_0^1 sin^-1((2x)/(1+x^2))dx .

The value of int_(0)^(1)(8log(1+x))/(1+x^(2))dx is

The value of int_(1)^(2)e^(x) [(1)/(x)-(1)/(x^(2))] dx is equal to

If (x -1) (x^(2) + 1) gt 0 , then find the value of sin((1)/(2) tan^(-1).(2x)/(1 - x^(2)) - tan^(-1) x)

Evaluate: int _0^1(tan^(-1)x)/(1+x^2)dx

int x^3 tan^-1 x^2 dx

Find the value of int_(-1)^1d/(dx)(tan^(-1)(1/x))dx

PSEB-INTEGRALS-Exercise
  1. Evaluate the definite integral: int(pi/2)^pi e^x ((1-sinx)/(1-cosx))dx

    Text Solution

    |

  2. Evaluate the definite integral: int0^(pi/4) (sinxcosx)/(cos^4x+sin^4x)...

    Text Solution

    |

  3. Evaluate the definite integral: int0^(pi/2) (cos^2x)/(cos^2x+4sin^2x)d...

    Text Solution

    |

  4. Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...

    Text Solution

    |

  5. Evaluate the definite integral: int0^1 (dx)/(sqrt(1+x)-sqrtx)dx

    Text Solution

    |

  6. Evaluate the definite integral: int0^(pi/4) (sinx+cosx)/(9+16sin2x)dx

    Text Solution

    |

  7. Evaluate the definite integral: int0^(pi/2) (sin2xtan^(-1)(sinx))dx

    Text Solution

    |

  8. Evaluate the definite integral: int0^(pi) (xtanx)/(secx+tanx)dx

    Text Solution

    |

  9. Evaluate the definite integral: int1^4 (|x-1|+|x-2|+|x-3|)dx

    Text Solution

    |

  10. int1^3 (dx)/(x^2(x+1)) = (2/3)+log(2/3) ਪ੍ਰਮਾਣਿਤ ਕਰੋ।

    Text Solution

    |

  11. Prove the following: int0^1 (xe^x) = 1

    Text Solution

    |

  12. Prove the following: int-1^1 (x^17cos^4x dx) = 0

    Text Solution

    |

  13. int0^(pi/2) (sin^3x)dx = 2/3 ਪ੍ਰਮਾਣਿਤ ਕਰੋ।

    Text Solution

    |

  14. Prove the following: int0^(pi/4) (2tan^3x)dx = 1-log2

    Text Solution

    |

  15. Prove the following: int0^1 (sin^(-1)x)dx = (pi/2)-1

    Text Solution

    |

  16. Evaluate int0^2 e^(3x) dx as the limit of sums.

    Text Solution

    |

  17. int (dx)/(e^x+e^(-x)) is equal to:

    Text Solution

    |

  18. int ((cos2x)/(sinx+cosx)^2) dx is equal to:

    Text Solution

    |

  19. If f(a+b-x) = f(x), then inta^b x f(x) dx is equal to:

    Text Solution

    |

  20. The value of int0^1 tan^(-1) ((2x-1)/(1+x-x^2))dx is:

    Text Solution

    |