Home
Class 12
MATHS
int0^1x(1-x)^(99)dx=...

`int_0^1x(1-x)^(99)dx=`

A

`(1)/( 10100)`

B

`(11)/( 10100)`

C

`(1)/(10010)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ) Single Correct Answer Type Questions|33 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|16 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Concept-based) Single Correct Answer Type Questions|10 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)x(1-x)^(99)dx=

int_0^1x (1-x)^5 dx

Evaluate : (i) int_(0)^(1)x(1-x)^(n)dx (ii) int_(0)^(1)x(1-x)^(3//2)dx

The value of the integral int_0^1 x(1-x)^n dx=

What is int_0^1 x(1-x)^9 dx equal to

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

int_0^1 x(1+x)^2*dx

What is int_0^1 x(1-x)^n dx equal to

int_0^1 x^2(1-x)^(3/2) dx=

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-SOLVED EXAMPLES (LEVEL 1 ) Single Correct Answer Type Questions
  1. The value of int(0)^(pi//2)(dx)/(1+tan^(3)x) is

    Text Solution

    |

  2. The value of int(0)^(4) 3^(sqrt(2x+1) )dx is

    Text Solution

    |

  3. int0^1x(1-x)^(99)dx=

    Text Solution

    |

  4. The value of sum(n=1)^1000 int(n-1)^n e^(x-[x])dx, where [x] is the gr...

    Text Solution

    |

  5. Let f : R -> R and g : R -> R be continuous functions. Then the value...

    Text Solution

    |

  6. If f(x) = (1+ tanx) (1+ tan (pi//4 - x)) and g(x) is a function with d...

    Text Solution

    |

  7. Find lim(n->oo) Sn ; if Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-...

    Text Solution

    |

  8. Evaluate: int(-pi)^(3pi)log(s e ctheta-t a ntheta)dtheta

    Text Solution

    |

  9. The value of int(0)^(oo) (dx)/((x^(2)+4)(x^(2)+9) ) is

    Text Solution

    |

  10. Evaluate int-1 3/2|xsin(pix)|dx

    Text Solution

    |

  11. If f(0)=2, f'(x) =f(x), phi (x) = x+f(x) then int(0)^(1) f(x) phi (x) ...

    Text Solution

    |

  12. Evaluate: ("lim")(xvec2)(int0"x"cost^2dt)/x

    Text Solution

    |

  13. If f(x) =int(1//x^(2) ) ^(x^2) cos sqrt(t) dt, then f'(1) is equal to

    Text Solution

    |

  14. The least value of the function phi(x)=overset(x)underset(5pi//4)int...

    Text Solution

    |

  15. Evaluate int0^a(log(1+a x)/(1+x^2)dx)

    Text Solution

    |

  16. If I(m,n)= overset(1)underset(0)int x^(m) (ln x)^(n)dx then I(m,n) i...

    Text Solution

    |

  17. If I(n) = int(0)^(1) ( cos^(-1) x)^(n) dx then I(6)- 360 I(2) is given...

    Text Solution

    |

  18. If I(n)=underset(0)overset(pi//2)int x^(n) sin x dx, then I(4)+12I(2) ...

    Text Solution

    |

  19. If a function f: [ 0, 27] to R is differentiable then for some 0 lt al...

    Text Solution

    |

  20. The difference between the greatest and least values of f(x)= int0^x (...

    Text Solution

    |