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#### paulmdrdo

##### Active member

- May 13, 2013

- 386

can someone give me hints how to solve this.

$\displaystyle \int\frac{ln^2\,3x}{x}dx$

$\displaystyle \int\frac{ln^2\,3x}{x}dx$

- Thread starter paulmdrdo
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- Thread starter
- #1

- May 13, 2013

- 386

can someone give me hints how to solve this.

$\displaystyle \int\frac{ln^2\,3x}{x}dx$

$\displaystyle \int\frac{ln^2\,3x}{x}dx$

- Feb 5, 2012

- 1,621

Hi paulmdrdo,can someone give me hints how to solve this.

$\displaystyle \int\frac{ln^2\,3x}{x}dx$

Substitute \(u=\ln(3x)\).

- Aug 30, 2012

- 1,308

To add to Sudharaka's sage suggestion, whenever you have a ln in numerator and x in the denominator of the integrand, some kind of u = ln(x) substitution bears looking into.can someone give me hints how to solve this.

$\displaystyle \int\frac{ln^2\,3x}{x}dx$

-Dan