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The value of (Bsqrt2)/(pi)int(0)^(1)((1-...

The value of `(Bsqrt2)/(pi)int_(0)^(1)((1-x^(2))/(1+x^(2)))(dx)/(sqrt(1+x^(4)))` is _____________

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Knowledge Check

  • int_(0)^(1)x^(2)sqrt(1-x^(2))dx=

    A
    1
    B
    `(1)/(2)`
    C
    `(pi)/(16)`
    D
    `(1)/(15)`

  • int_(0)^(1//sqrt(2))(x sin^(-1)x)/(sqrt(1-x^(2)))dx=

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

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