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Evaluate : int0^pi(xtanx)/(secx+tanx)dx...

Evaluate : `int_0^pi(xtanx)/(secx+tanx)dx`

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Knowledge Check

  • int_(0)^(pi)(x tanx)/(secx+cosx)dx is

    A
    `(pi^(2))/4`
    B
    `(pi^(2))/2`
    C
    `(3pi^(2))/2`
    D
    `(pi^(2))/3`

  • int(1)/(secx+tanx)dx=

    A
    `(1)/(sec)+c`
    B
    `secx+log(secx+tanx)+c`
    C
    `cosx+log(cosx-cotx)+c`
    D
    `log(secx)+c`

  • int(1)/(a secx+b tanx)dx=

    A
    `(1)/(b)log(a+b sinx)+c`
    B
    `(1)/(a)log(a+b sinx)+c`
    C
    `(1)/(b)log(a sin x+b)+c`
    D
    `(1)/(a)log(b+a sinx)+c`

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    Explore conceptually related problems

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    Prove that int_(0)^(pi)(xtanx)/((secx+tanx))dx=pi((pi)/(2)-1) .

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