Home
Class 12
MATHS
If I = int tan^(-1)((2x)/(1-x^(2)))*dx t...

If I = `int tan^(-1)((2x)/(1-x^(2)))*dx` then `I-2x*tan^(-1)x =`

A

`log (1+x^(2))`

B

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

C

`- log (1+x^(2))`

D

log(x/(1+x))

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1) ((2x)/(1-x^(2))) then dy/dx =

int (e^(3 tan^(-1)x)/(1+x^(2))) dx

int (e^(tan^(-1)x))/(1+x^2) dx .

int (tan^(-1)x)^(3)/(1+x^(2)) dx is equal to

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

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

int e^(tan-1)x((1+x+x^2)/(1+x^2))dx equals :

HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK
  1. If an antiderivative of f(x) is e^(x) and that of g(x) is cos x, then ...

    Text Solution

    |

  2. If f(x) = cos x - cos^(2)x + cos^(3)x + …. to oo int f(x) dx =

    Text Solution

    |

  3. If I = int tan^(-1)((2x)/(1-x^(2)))*dx then I-2x*tan^(-1)x =

    Text Solution

    |

  4. int 2/(1-x^(4)) dx = k log ((1+x)/(1-x)) + tan^(-1)x then k =

    Text Solution

    |

  5. int dx/((x^(2)+1)(x^(2)+4))= k tan^(-1) x + l (tan^(-1)) x/2 then

    Text Solution

    |

  6. int dx/(x-x^(3)) = A (log) x^(2)/(1-x^(2)), then A =

    Text Solution

    |

  7. int (sin 2x +cos 2x) dx = 1/sqrt2 sin (2x-a) then a =

    Text Solution

    |

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

    Text Solution

    |

  9. int d^(2)/(dx^(2))(tan^(-1) x) dx =

    Text Solution

    |

  10. If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, the...

    Text Solution

    |

  11. In n (ne 1) in N and I(n) = intcosec^(n) dx then (n-1)((n)+cosec^(n-2)...

    Text Solution

    |

  12. If n(ne 1) in N and I(n) =int sec^(n)x dx then (n-1) I(n)-(n-2)I(n-2) ...

    Text Solution

    |

  13. If n in N and I(n) = intsin^(n) x dx then nI(n)-(n-1)I(n-2) =

    Text Solution

    |

  14. If n in N and I(n) = intcos^(n) xdx then nI(n) - cos^(n-1)x. sinx =

    Text Solution

    |

  15. If n(ne 1) in N and I(n) = int tan^(n) x dx then I(n)+I(n-2) =

    Text Solution

    |

  16. If n(ne 1) in N and I(n) = intcot^(n) x dx then I(n) + (cot^(n-1)x)/(n...

    Text Solution

    |

  17. If n(ne 1) in N and I(n) = int e^(x)/x^(n) dx then I(n)+ e^(x)/((n-1)x...

    Text Solution

    |

  18. If n in N and I(n) = int(log x)^(n) dx, then I(n)+nI(n-1) =

    Text Solution

    |

  19. If I(n) = int x^(n)e^(x) dx where n inN, then I(n) + nI(n-1) =

    Text Solution

    |

  20. int (tan^(m)x)/(sinx cosx)dx =

    Text Solution

    |