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    Logarithmic Integral

    Indefinite integral

    integral log(x) dx = x (log(x) - 1) + constant (assuming a complex-valued logarithm)

    Plot

    Alternate form of the integral

    x log(x) - x

    Expanded logarithmic form

    -x + x log(x) + constant

    Definite integral

    integral_0^1 log(x) dx = -1

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