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The value(s) ofint(0)^(1)(x^(4)(1-x)^(4)...

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

A

`22/7-pi`

B

`2/(105)`

C

0

D

`71/51-3pi/2`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • int_(0)^(1)(x^(4))/(1+x^(10))dx=

    A
    `(pi)/(5)`
    B
    `(pi)/(10)`
    C
    `(pi)/(20)`
    D
    `(pi)/(25)`

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

    A
    `1/610`
    B
    `1/630`
    C
    `1/640`
    D
    `1/660`

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

    A
    `1-(pi)/4`
    B
    `(pi)/4-1`
    C
    `1-(pi)/2`
    D
    `0`

    • Similar Questions

    Explore conceptually related problems

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

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

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

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

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

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