Home
Class 12
MATHS
Choose the correct answers The value o...

Choose the correct answers
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

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.11|21 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|17 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(1)(tan^(-1)x)/(cot^(-1)(1-x+x^(2)))dx is____.

The value of int_(0)^(1) tan^(-1)((1)/(x^(2)-x+1))dx is equal to -

int_0^1 tan^(-1) ((2x-1)/(1+x-x^2)) dx is equal to

Evaluate int_(0)^(1)(tan^(-1)x)/(1+x^(2))dx

int_(0)^(1)x(tan^(-1)x)^(2)dx

int_(0)^(1)tan^(-1)(1-x+x^(2))dx

The value of int_(0)^(1)sin[2tan^(-1)sqrt((1+x)/(1-x))]dx is equal to -

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

int_(-1)^(1)sin^(-1).(2x)/(1+x^(2))dx=0

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

NCERT BANGLISH-INTEGRALS-EXERCISE 7.12
  1. Evaluate the definite integrals int(pi/2)^(pi)e^(x)((1-sinx)/(1-cosx...

    Text Solution

    |

  2. Evaluate the definite integrals int(0)^(pi/4)(sinxcosx)/(cos^(4)x+si...

    Text Solution

    |

  3. Evaluate the definite integrals int(0)^(pi/2)(2sinx+3)dx

    Text Solution

    |

  4. Evaluate the definite integrals int(pi/6)^(pi/3)(sinx+cosx)/(sqrt(si...

    Text Solution

    |

  5. Evaluate the definite integrals int(0)^(1)(dx)/(sqrt(1+x)-sqrtx)

    Text Solution

    |

  6. Evaluate the definite integrals int(0)^(pi/4)e^(3x)sinxdx

    Text Solution

    |

  7. Evaluate the definite integrals int(0)^(pi/2)sin2xdx

    Text Solution

    |

  8. Evaluate the definite integrals int(0)^(3)e^xdx

    Text Solution

    |

  9. Evaluate the definite integrals int(1)^(4)[abs(x-1)+abs(x-2)+abs(x-3...

    Text Solution

    |

  10. Prove the following int(1)^(3)(dx)/(x^(2)(x+1))=2/3+log2/3

    Text Solution

    |

  11. Prove the following int(0)^(1)xe^(x)dx=1

    Text Solution

    |

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

    Text Solution

    |

  13. Prove the following int(0)^(pi/2)sin^(3)xdx=2/3

    Text Solution

    |

  14. Prove the following int(0)^(pi/4)2tan^(3)xdx=1-log2

    Text Solution

    |

  15. Prove the following int(0)^(1)sin^(-1)xdx=pi/2-1

    Text Solution

    |

  16. Evaluate int(0)^(1)e^(2-3x)dx .

    Text Solution

    |

  17. Choose the correct answers int(dx)/(e^(x)+e^(-x)) is equal to

    Text Solution

    |

  18. Choose the correct answers int(cos2x)/((sinx+cosx)^(2))dx is equal t...

    Text Solution

    |

  19. Choose the correct answers If f (a + b - x) = f (x), then int(a)^(b)...

    Text Solution

    |

  20. Choose the correct answers The value of int(0)^(1)tan^(-1)((2x-1)/(1...

    Text Solution

    |