Home
Class 12
MATHS
int(-1)^(3)(Tan^(-1)""(x)/((x^(2)+1))+Ta...

`int_(-1)^(3)(Tan^(-1)""(x)/((x^(2)+1))+Tan^(-1)""(x^(2)+1)/(x))dx=`

A

`2pi`

B

`pi`

C

`4pi`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - I|67 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos
  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)Tan^(-1)((2x)/(1-x^(2)))dx=

If x gt 0 then int ("tan"^(-1) (x)/(x^(2) + 1) + "tan"^(-1) " "(x^(2) +1)/(x) ) dx =

int (1)/((1+x^(2)) Tan^(-1)x)dx=

int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=

int Tan^(-1)((2x)/(1-x^(2)))dx=

int_(0)^(1)(tan^-1 x)/(x)dx=

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

int_(0)^(1)Tan^(-1)[(2x-1)/(1+x-x^(2))]dx=

AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
  1. f(x)= int(0)^(x) ln ((1-t)/(1+t))dt rArr

    Text Solution

    |

  2. int(0)^(a) (f(x)+f(-x))dx=

    Text Solution

    |

  3. int(-1)^(3)(Tan^(-1)""(x)/((x^(2)+1))+Tan^(-1)""(x^(2)+1)/(x))dx=

    Text Solution

    |

  4. int(0)^(sin^(2)x) sin^(-1) sqrt(t) dt + int(0)^(cos^(2)x) cos^(-1) sqr...

    Text Solution

    |

  5. int(0)^(1) cot^(-1) (1-x+x^(2))dx=

    Text Solution

    |

  6. If for every ineger n , int(n)^(n+1) f(x) dx=n^(2) then the value of i...

    Text Solution

    |

  7. If f(x)={{:(x^(2) " for " 0 le x le 1),(sqrt(x) " for "1 le x le 2):}...

    Text Solution

    |

  8. If int(-3)^(2) f(x)dx= 7/3 and int(-3)^(9) f(x)dx= - 5/6 then int(2)^(...

    Text Solution

    |

  9. If int(-1)^(4)f(x)dx=4andint(2)^(4)[3-f(x)]dx=7" then "int(-1)^(2)f(x)...

    Text Solution

    |

  10. The value of the integral int(0)^(oo)(xlogx)/((1+x^(2))^(2))dx is

    Text Solution

    |

  11. int(0)^(pi//2) (sin^(100)x-cos^(100)x)dx=

    Text Solution

    |

  12. For m, n in N and m != n then the value of int(0)^(pi) sin m x " " sin...

    Text Solution

    |

  13. For n in N, the value of int(0)^(pi) sin^(n) x*cos^(2n-1)x dx is

    Text Solution

    |

  14. For n in N, int(0)^(2pi) (x sin^(2n)x)/(sin^(2n) x + cos^(2n) x) dx=

    Text Solution

    |

  15. int(0)(pi//2) ( x dx)/(Sin x + Cos x)=

    Text Solution

    |

  16. int(0)^(pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)=

    Text Solution

    |

  17. int(0)^(pi) x f (sin x) dx is equal to

    Text Solution

    |

  18. If int(0)^(pi)xf(sinx)dx=Aint(0)^(pi//2)(sinx)dx, then A is

    Text Solution

    |

  19. int(pi//4)^(3pi//4) (x)/(1+sin x) dx=

    Text Solution

    |

  20. If f(x)=(e^(x))/(1+e^(x)),I(1)=int(f(-a))^(f(a))xg{x(1-x)}dxandI(2)=in...

    Text Solution

    |