I don't know what i'm doing wrong when taking this simple integral.(adsbygoogle = window.adsbygoogle || []).push({});

The integral is:

[tex] \int[/tex] (1/x)(lnx)^2 dx

[tex] \int[/tex] (2/x)(lnx) dx

2[tex] \int[/tex] (lnx/x) dx

Let u = lnx

du/dx = 1/x

dx = xdu

2[tex] \int[/tex] (u/x) xdu

2[tex] \int[/tex] (u) du

2[tex] \int[/tex] (u^2)/2 + C

(2(lnx)^2)/2 + C

(lnx)^2 + C

The answer is obviously wrong....how do i solve this properly?

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# Homework Help: Integral of (1/x)(lnx)^2

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