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

  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|5 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 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

ARIHANT MATHS ENGLISH-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The valued of int(sqrt(In2))^(sqrt(In3)) (x sinx^(2))/(sinx^(2)+sin(In...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. For a epsilonR (the set of all real numbers) a!=-1, lim(n to oo) ((1^(...

    Text Solution

    |

  5. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

    Text Solution

    |

  6. Which of the following is true?

    Text Solution

    |

  7. For any real number x ,l e t[x] denote the largest integer less than o...

    Text Solution

    |

  8. Let f be a non-negative function defined on the interval [0,1]. If int...

    Text Solution

    |

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

    Text Solution

    |

  10. Let S(n)=sum(k=1)^(n)n/(n^(2)+kn+k^(2)) and T(n)=sum(k=0)^(n-1)n/(n^(2...

    Text Solution

    |

  11. Then integral int(pi//4)^((3pi)/4) (dx)/(1+cosx) is equal to

    Text Solution

    |

  12. "Let " I(n)=int tan^(n)x dx,(n gt 1). I(4)+I(6)=a tan^(5)x+bx^(5)+C, "...

    Text Solution

    |

  13. lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to

    Text Solution

    |

  14. The integral int(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2))) dx is e...

    Text Solution

    |

  15. The integral int(0)^(pi)sqrt(1+4"sin"^(2)x/2-4"sin"x/2)dx is equals to...

    Text Solution

    |

  16. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

    Text Solution

    |

  17. The intercepts on x- axis made by tangents to the curve, y=int(0)^(x)|...

    Text Solution

    |

  18. If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals to (a)(g(x))/(g(pi)...

    Text Solution

    |

  19. The value of int(0)^(1)(8log(1+x))/(1+x^(2))dx is

    Text Solution

    |

  20. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |