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Integration leading to ln

paulmdrdo

Active member
May 13, 2013
386
can someone give me hints how to solve this.(Coffee)

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

Sudharaka

Well-known member
MHB Math Helper
Feb 5, 2012
1,621
can someone give me hints how to solve this.(Coffee)

$\displaystyle \int\frac{ln^2\,3x}{x}dx$
Hi paulmdrdo, :)

Substitute \(u=\ln(3x)\).
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,123
can someone give me hints how to solve this.(Coffee)

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