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

The value of `int_0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ ` is
a.`1`
b. `-1`
c. `0`
d. `pi//4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos

  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

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

Prove that int_0^1 tan^-1((2x-1)/(1+x-x^2))dx=0

The value of int_0^1 (2^(2x+1)-5^(2x-1))/(10^(x))dx is

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

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

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

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

I=int_(0)^( pi/4)(tan^(-1)x)^(2)/(1+x^2)dx

If I=int_0^(1) (1)/(1+x^(pi//2))dx , then\

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. int0^(2a)f(x)dx is equal to a.2int0^af(x)dx b. 0 c. int0^af(x)dx+...

    Text Solution

    |

  2. If f(a+b-x)=f(x),\ t h e n\ inta^b xf(x)dx is equal to a.(a+b)/2inta^...

    Text Solution

    |

  3. The value of int0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ is a.1 b. -1 c....

    Text Solution

    |

  4. Choose the correct answer The value of int0pi/2log((4-3sinx)/(4+3cosx)...

    Text Solution

    |

  5. The value of int(-pi//2)^(pi//2)(x^3+x\ cos x+tan^5x+1)dx , is a. 2 b....

    Text Solution

    |

  6. Evaluate the following integral: int0^4x\ sqrt(4-x)\ dx

    Text Solution

    |

  7. Evaluate the following integral: int1^5x/(sqrt(2x-1))dx

    Text Solution

    |

  8. Evaluate the following integral: int0^1tan^(-1)x\ dx

    Text Solution

    |

  9. Evaluate the following integral: int0^1tan^(-1)((2x)/(1-x^2))dx

    Text Solution

    |

  10. Evaluate the following integral: int0^1(1-x)/(1+x)dx

    Text Solution

    |

  11. Evaluate the following integral: int0^(pi//2)(sin^2x)/((1+cos x)^2)dx

    Text Solution

    |

  12. Evaluate the following integral: int0^(pi//2)(cos x)/(1+sin^2x)dx

    Text Solution

    |

  13. Evaluate the following integrals: int0^1sqrt((1-x)/(1+x))dx

    Text Solution

    |

  14. Evaluate the following integral: int0^(pi//4)cos^4xsin^3x\ dx

    Text Solution

    |

  15. Evaluate the following integral: int0^(pi//2)x^2cos2x\ dx

    Text Solution

    |

  16. Evaluate the following integral: int2^4(x^2+x)/(sqrt(2x+1))dx

    Text Solution

    |

  17. int0^1(cos^(- 1)x)^2dx

    Text Solution

    |

  18. Evaluate the following integral: int1^2x\ sqrt(3x-2)\ dx

    Text Solution

    |

  19. Evaluate the following integral: int0^1cos^(-1)x\ dx

    Text Solution

    |

  20. Evaluate the following integral: int0^1cos^(-1)((1-x^2)/(1+x^2))dx

    Text Solution

    |