Home
Class 12
MATHS
int(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1 i...

`int_(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1` is equal to

A

`(pi)/(1-a^(2))`

B

`(pi)/(a^(2)-1)`

C

`(2pi)/(a^(2)-1)`

D

`(2pi)/(1-a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 1:|4 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 2:|3 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|12 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

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

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

The value of int_(0)^((pi)/(2))(cos3x+1)/(cos x-1)dx is equal to

int_(0)^( pi/8)(1)/(1+4x^(2))dx=?

The value of the integral int_(0)^(pi//2)(1)/(1+(tanx)^(101))dx is equal to

int_(0)^(pi//4) (1)/(1+cos 2x)dx

int_(0)^(pi) (1)/(1+3^(cosx)) dx is equal to

The value of int_(-pi//2)^(pi//2)(1)/(e^(sinx)+1) dx is equal to

int_(-pi//2)^(pi//2)(1)/(e^(sinx)+1)dx is equal to

int_(0)^(pi)|1+2cosx| dx is equal to :

FIITJEE-DEFINITE INTEGRAL -SOLVED PROBLEMS (OBJECTIVE)
  1. Let f be a non-negative function defined on the interval .[0,1].If int...

    Text Solution

    |

  2. Let (a, b) and (lambda,mu) be two points on the curve y = f(x) . If th...

    Text Solution

    |

  3. int(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1 is equal to

    Text Solution

    |

  4. If f:RrarrR,f(x) is a differentiable function such that (f(x))^(2)=e...

    Text Solution

    |

  5. If 1=int0^(pi/2)(dx)/(sqrt(1+sin^3x)) then

    Text Solution

    |

  6. Let f(x)=int(2)^(x)f(t^(2)-3t+4)dt. Then

    Text Solution

    |

  7. If f(x)=int(x)^(x^(2))(dt)/((logt)^(2)),xne0 then f(x) is

    Text Solution

    |

  8. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  9. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  10. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  11. The value of the integral int(0)^(npi+v)|sinx|dx" where "ninNand0levle...

    Text Solution

    |

  12. the value of int0^1 e^(2x-[2x]) d(x-[x])

    Text Solution

    |

  13. If f(x)=int1^x(lnt)/(1+t)dt, then

    Text Solution

    |

  14. If int(0)^(x^(2)(1+x))f(t)dt=x, then the value of 25f(2) must be.

    Text Solution

    |

  15. If (pi)/(2)ltalphalt(2pi)/(3)andl=int(0)^(sin2alpha)(dx)/(sqrt(4cos^(2...

    Text Solution

    |

  16. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |

  17. If I(n)=int(0)^(1)(1+x+x^(2)+....+x^(n-1))(1+3x+5x^(2)+....+(2n-3)x^(n...

    Text Solution

    |

  18. Match the following:

    Text Solution

    |

  19. int(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2) then

    Text Solution

    |

  20. Which of the following is correct combination?

    Text Solution

    |