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

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

A

`(22)/(7)-pi`

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

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

The value of int_0^1(x^4(1-x)^4)/(1+x^2)\ dx is

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

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

int_(0)^(1) (x)/(1-x)^(3//4)dx=

The value of int_(0)^(2)((x^(2)-2x+4)sin(x-1))/(2x^(2)-4x+5)dx is equal to

The value of int_0^oo (dx)/(1+x^4) is

int_(-1)^(1)(3x+4)dx

The value of int_(0)^(oo)(dx)/(1+x^(4)) is equal to

The value of int_( 0)^(pi//4) (pix-4x^(2))log(1+tanx)dx is

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

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. Let the definite integral be defined by the formula int(a)^(b)f(x)dx=(...

    Text Solution

    |

  2. Suppose we define integral using the following formula int(a)^(b)f(x)d...

    Text Solution

    |

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

    Text Solution

    |

  4. If int(n)=int(-pi)^(pi)(sin nx)/((1+pi^(x))sinx) dx, n=0,1,2,………. then

    Text Solution

    |

  5. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  6. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

    Text Solution

    |

  7. int(1)^(e^(37))(pisin(pilogx))/(x)dx equals to.

    Text Solution

    |

  8. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx

    Text Solution

    |

  9. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dxi s

    Text Solution

    |

  10. The value of overset(3pi//4)underset(pi//4)int (x)/(1+sin x) dx is equ...

    Text Solution

    |

  11. The value of int(-2)^2|1-x^2|dx is

    Text Solution

    |

  12. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

    Text Solution

    |

  13. Match the conditions // expression in Column I with statement in Colum...

    Text Solution

    |

  14. Match List I with List II and select the correct answer using the code...

    Text Solution

    |

  15. Evaluate: 5050(int0 1(1-x^(50))^(100)dx)/(int0 1(1-x^(50))^(101)dx)

    Text Solution

    |

  16. Evaluate: int0^pie^(|cosx|)(2s in(1/2cosx)+3cos(1/2cosx))sinxdxdot

    Text Solution

    |

  17. Find the value of int(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|pi/3))dx

    Text Solution

    |

  18. Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...

    Text Solution

    |

  19. int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx is equal to

    Text Solution

    |

  20. Prove that int(0)^(1)tan^(-1)(1/(1-x+x^(2)))dx=2int(0)^(1)tan^(-1)xdx....

    Text Solution

    |