Home
Class 12
MATHS
int(-1)^(1)(1)/((1+x^(2))^(2))dx=...

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

A

0

B

1

C

`pi/4 + 1/2`

D

`pi/4 - 1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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_(-1)^(1)(1)/(1+x^(2))dx=

int_(1//2)^(1)(1)/(sqrt(1-x^(2)))dx=

int_(0)^(1)(x^(3))/((1+x^(2))^(3))dx=

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

int_(0)^(1)(xe^(x))/((x+1)^(2))dx=

int_(-1)^(1)(coshx)/(1+e^(2x))dx=

int_(1//2)^(1) (1)/(sqrt(x-x^(2)))dx=

Arrange the following according to their values in ascending order A) int_(0)^(1) sqrt(1-x^(2))dx B) int_(0)^(1) (1)/(sqrt(1-x^(2)))dx C) int_(0)^(1//sqrt(3))(1)/(1+x^(2))dx

int_(1)^(e) e^(x)((x-1)/(x^(2)))dx=

AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
  1. int(- pi/4)^(pi/4) cos^(-4) x dx=

    Text Solution

    |

  2. int(ln lambda)^(ln(1/lambda))(f(x^(2)/3)(f(x)+f(-x)))/(g(3x^(2))(g(x)-...

    Text Solution

    |

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

    Text Solution

    |

  4. f(x)= int(0)^(x) ln ((1-t)/(1+t))dt rArr

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |