## find the antiderivatie of (((ln(x))^2)/x dx

Limits, differentiation, related rates, integration, trig integrals, etc.
yabo2k
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### find the antiderivatie of (((ln(x))^2)/x dx

find the antiderivative of (((ln(x))^2)/x dx. I am not sure how to go about solving this.

Martingale
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### Re: find the antiderivatie of

find the antiderivative of (((ln(x))^2)/x dx. I am not sure how to go about solving this.

let $u=\ln(x)$

yabo2k
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### Re: find the antiderivatie of (((ln(x))^2)/x dx

so I get...(((ln(x))^2)+C

stapel_eliz
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If you're not sure, differentiate, and see if you end up with the original integrand.

Martingale
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### Re: find the antiderivatie of (((ln(x))^2)/x dx

so I get...(((ln(x))^2)+C
not quite.

yabo2k
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Joined: Tue Apr 28, 2009 9:09 pm
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### Re: find the antiderivatie of (((ln(x))^2)/x dx

so my u=ln(x) and my du= (1/x)dx

so using u and du i get......du(u)^2

Martingale
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Joined: Mon Mar 30, 2009 1:30 pm
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### Re: find the antiderivatie of (((ln(x))^2)/x dx

so my u=ln(x) and my du= (1/x)dx

so using u and du i get......du(u)^2