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Evaluate: int(pi/4)^((3pi)/4) varphi/(1-...

Evaluate: `int_(pi/4)^((3pi)/4) varphi/(1-sinvarphi)d varphi`

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Knowledge Check

  • int_(-pi//4)^(pi//4) dx/(1-sin x)=

    A
    2
    B
    `-2`
    C
    `sqrt(2)`
    D
    `-sqrt(2)`

  • int_(-pi//4)^(pi//4) dx/(1+sin x)=

    A
    `2- sqrt(2)`
    B
    `2 + sqrt(2)`
    C
    `sqrt(2)`
    D
    2

  • The value of int_(pi//4)^(3pi//4)(phi)/(1+sinphi)d phi is

    A
    `pi "tan"(pi)/8`
    B
    `log "tan"(pi)/8`
    C
    `"tan"(pi)/8`
    D
    None of these

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