Home
Class 12
MATHS
The value(s) of int(0)^(1) (x^(4)(1-x)^(...

The value(s) of `int_(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2))dx` is are

A

`22/7-x`

B

`2/105`

C

`0`

D

`71/15-(3pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 3 Part - II|25 Videos
  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - IV|9 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos
  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(1) x^(2) (1- x)^(9) dx is

The value of int_(0)^(1)(x^(2))/(1+x^(2))dx is

int_(0)^(1)(2x+1)^(4)dx

7(int_(0)^(1)(x^(4)(1-x)^(4)dx)/(1+x^(2))+pi) is equal to

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

int_(0)^(1)(x^(6)-4x^(5)+5x^(4)-4x^(2))dx

The value of int_(1)^(2) (dx)/(x(1+x^(4)) is

The value of int_(0)^(1)(x^(4)+1)/(x^(2)+1)dx is

int_(0)^(1)x(1-x)^(4)dx=(1)/(30)

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - I
  1. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

    Text Solution

    |

  2. The value of lim(xrarr0)(1)/(x^(3))int(x)^(0) (tln(1+t))/(t^(4)+4) dt ...

    Text Solution

    |

  3. The value(s) of int(0)^(1) (x^(4)(1-x)^(4))/(1+x^(2))dx is are

    Text Solution

    |

  4. Let f be a real-valued function defined on the interval (0,oo) by f(x)...

    Text Solution

    |

  5. For any real number, let [x] denotes the largest integer less than or ...

    Text Solution

    |

  6. Let f be a real-valued function defined on the interval (-1,1) such th...

    Text Solution

    |

  7. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

    Text Solution

    |

  8. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

    Text Solution

    |

  9. Consider the polynomial f(x)= 1+2x+3x^2+4x^3. Let s be the sum of all ...

    Text Solution

    |

  10. The value of int(sqrt(ln2))^(ln3)(xsinx^(2))/(sinx^(2)+sin(ln6-x^(2)))...

    Text Solution

    |

  11. Let the straight line x = b divide the area enclosed by y = (1-x)^(2),...

    Text Solution

    |

  12. Let f : [-1,2]rarr[0,oo) be a continuous function such that f(x) = f(1...

    Text Solution

    |

  13. Let S be the area of the region enclosed by y=e^-x^2,y=0,x=0,a n dx=1....

    Text Solution

    |

  14. The value of the integral int(-pi//2)^(pi//2) (x^(2)+ln'(pi+x)/(x-a)) ...

    Text Solution

    |

  15. Let f(x) = (1-x)^(2) sin^(2)x+ x^(2) for all x in IR and let g(x) = in...

    Text Solution

    |

  16. Let f(x) = (1-x)^(2) sin^(2)x+ x^(2) for all x in IR and let g(x) = in...

    Text Solution

    |

  17. If f(x) = int(0)^(x) e^(t^(2)) (t-2) (t-3) dt for all x in (0, oo) , t...

    Text Solution

    |

  18. The area enclosed by the curvesy= sinx+cosx and y = | cosx-sin x | ove...

    Text Solution

    |

  19. Let f : [1/2, 1] rarr R (the set of the all real numbers) be a positiv...

    Text Solution

    |

  20. For a in R (the set of all real numbers), a ne = - 1, lim(nrarroo)((...

    Text Solution

    |