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

- Martingale
**Posts:**350**Joined:**Mon Mar 30, 2009 1:30 pm**Location:**USA-
**Contact:**

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
**Posts:**1738**Joined:**Mon Dec 08, 2008 4:22 pm-
**Contact:**

- Martingale
**Posts:**350**Joined:**Mon Mar 30, 2009 1:30 pm**Location:**USA-
**Contact:**

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:**350**Joined:**Mon Mar 30, 2009 1:30 pm**Location:**USA-
**Contact:**

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