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

- Martingale
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yabo2k wrote:find the antiderivative of (((ln(x))^2)/x dx. I am not sure how to go about solving this.

let

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

- stapel_eliz
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- Martingale
**Posts:**333**Joined:**Mon Mar 30, 2009 1:30 pm**Location:**USA-
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yabo2k wrote:so I get...(((ln(x))^2)+C

not quite.

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

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

so is my answer ((ln(x)^3)/3)+C

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

so is my answer ((ln(x)^3)/3)+C

- Martingale
**Posts:**333**Joined:**Mon Mar 30, 2009 1:30 pm**Location:**USA-
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yabo2k wrote:so my u=ln(x) and my du= (1/x)dx

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

so is my answer ((ln(x)^3)/3)+C

yes