calculus

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Determine whether the integral is convergent or divergent.If it is convergent, evaluate it.
form -infinity to 0
x/(x^4+25)dx

  • calculus -

    To evaluate

    ∫x/(x^4+25) dx
    let
    z^2 = x
    2z dz = dx

    now you have

    1/2 ∫1/(z^2+25) dz
    That is just a standard integral, giving

    (1/2)(1/5)arctan(z/5)

    evaluate at the limits and you get -π/20

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