Evaluate the function below from x = 1 up to x = 4.


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  1. Suspicious of your typing, especially the lnx(x) part

    Sent it to Wolfram and they read it as:

    Wolfram uses log for ln

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  2. To integrate lnx or x lnx, use integration by parts

    u = lnx, du = 1/x dx
    dv = dx, v = x
    ∫lnx dx = x lnx - ∫1/x * x dx = x lnx - x

    u = lnx, du = 1/x dx
    dv = x dx, v = 1/2 x^2
    ∫x lnx = 1/2 x^2 lnx - ∫1/2 x dx = 1/2 x^2 lnx - 1/4 x^2

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