Integration leading to ln

[paulmdrdo]

can someone give me hints how to solve this.

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

 

[Sudharaka]

can someone give me hints how to solve this.

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

Hi paulmdrdo,

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

 

[topsquark]

can someone give me hints how to solve this.

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

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.

-Dan