Home
Class 12
MATHS
IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(...

`IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n` (a) `I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx` (b) `I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx` (c) `I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx` (d) `I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If I(m,n)=int_0^1x^(m-1)(1-x)^(n-1)dx , then

Let I_(n) = int_(0)^(1)(1-x^(3))^(n)dx, (nin N) then

Let I_(n) = int_(0)^(1)x^(n)(tan^(1)x)dx, n in N , then

If I_(m,n)= int_(0)^(1) x^(m) (ln x)^(n) dx then I_(m,n) is also equal to

Evaluate: int_0^1x(1-x)^n dx

If I(m,n)=int_0^1 t^m(1+t)^n.dt , then the expression for I(m,n) in terms of I(m+1,n-1) is:

If I_(m)=int_(0)^(oo) e^(-x)x^(n-1)dx, "then" int_(0)^(oo) e^(-lambdax) x^(n-1)dx

Q. int_0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I

If L(m,n)=int_(0)^(1)t^(m)(1+t)^(n),dt , then prove that L(m,n)=(2^(n))/(m+1)-n/(m+1)L(m+1,n-1)

If I_(m,n)= int(sinx)^(m)(cosx)^(n) dx then prove that I_(m,n) = ((sinx)^(m+1)(cosx)^(n-1))/(m+n) +(n-1)/(m+n). I_(m,n-2)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

    Text Solution

    |

  2. Consider 8 vertices of a regular octagon and its centre. If T denotes ...

    Text Solution

    |

  3. IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n...

    Text Solution

    |

  4. There are 720 permutations of the digits 1, 2, 3, ,4 ,5, 6. Suppose th...

    Text Solution

    |

  5. 5 Indian and 5 Russian couples meet at a party and shake hands. The ...

    Text Solution

    |

  6. In a GP, the ratio of the sum of the first eleven terms of the sum of ...

    Text Solution

    |

  7. The number of terms of an A.P. is even; the sum of the odd terms is ...

    Text Solution

    |

  8. Given a special sequence a ,b ,c ,d such that first three number are i...

    Text Solution

    |

  9. If three A.M.s are inserted between 12 and 6, then the third A.M. is (...

    Text Solution

    |

  10. The sets S1,S2,S3, .......... are given by S1={2/1},S2={3/2,5/2},S3={4...

    Text Solution

    |

  11. The arithmetic mean of two numbers is 6 and their geometric mean G and...

    Text Solution

    |

  12. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

    Text Solution

    |

  13. The probabilities of solving a question by three students are 1/2,1/4,...

    Text Solution

    |

  14. The sum of 100 terms of the series . 9+. 09+. 009 ..... will be (a)...

    Text Solution

    |

  15. If n arithemetic means are inserted between 20 and 80 such that the ra...

    Text Solution

    |

  16. Let r ,s ,a n dt be the roots of equation 8x^2+1001 x+2008=0. Then fin...

    Text Solution

    |

  17. Number of three digit natural numbers which on dividing by 6 leaves 3 ...

    Text Solution

    |

  18. The coordinate of the centre of the hyperbola x^(2)+3xy+2y^(2)+3y+2x+...

    Text Solution

    |

  19. A postman delivered daily for 42 days 4 more latters each day than on ...

    Text Solution

    |

  20. If the sequence a1, a2, a3,....... an ,dot forms an A.P., then prove ...

    Text Solution

    |