Home
Class 12
MATHS
The value of int cos[2cot^(-1) sqrt((1-...

The value of `int cos[2cot^(-1) sqrt((1-x)/(1+x))]dx` is equal to -

A

`(1)/(2)x+c`

B

`(1)/(2) sin[cot^(-1) sqrt((1-x)/(1+x))]+c`

C

`(1)/(2)x^(2)+c`

D

`-(1)/(2)x^(2)+c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

int cos (2 cot^(-1)sqrt((1-x)/(1+x)))dx

int_(0)^(1) sqrt((1-x)/(1+x))dx is equal to -

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

(d)/(dx)[sin^(2)cot^(-1)( sqrt((1-x)/(1+x)))] is equal to -

Evaluate intcos(2cot^-1sqrt((1-x)/(1+x)))dx, -1ltxle1

Integrate : int cos^(-1)sqrt((x)/(a+x))dx

int(sin^(-1)x)/(sqrt(1-x^(2)))dx is equal to

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

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

The value of int cos^(-1)((1)/(x))dx is equal to -

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If I(m)=int(1)^(x)(logx)^(m)dx satisfies the relation I(m)=x(logx)^...

    Text Solution

    |

  2. If int(-(1)/(2))^((1)/(2)) cos x log((1+x)/(1-x))dx=k log2, then the ...

    Text Solution

    |

  3. The value of int cos[2cot^(-1) sqrt((1-x)/(1+x))]dx is equal to -

    Text Solution

    |

  4. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

    Text Solution

    |

  5. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

    Text Solution

    |

  6. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

    Text Solution

    |

  7. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

    Text Solution

    |

  8. The value of int sqrt(e^(x)-1)dx is equal to -

    Text Solution

    |

  9. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

    Text Solution

    |

  10. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

    Text Solution

    |

  11. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

    Text Solution

    |

  12. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

    Text Solution

    |

  13. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

    Text Solution

    |

  14. State which of the following is correct : If f(x) is a continuous f...

    Text Solution

    |

  15. The integrating factor of the linear differential equation (1-x^(2))^...

    Text Solution

    |

  16. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

    Text Solution

    |

  17. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

    Text Solution

    |

  18. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

    Text Solution

    |

  19. The order of differential equations of all parabolas having directrix ...

    Text Solution

    |

  20. The general solution of equation (dy)/(dx)+y= sinx is -

    Text Solution

    |