Solving ln in Integration - Any Hints? (Coffee)

paulmdrdo1 · Jul 17, 2013

can someone give me hints how to solve this.(Coffee)

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

Sudharaka · Jul 17, 2013

paulmdrdo said:

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 · Jul 17, 2013

paulmdrdo said:

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

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Solving ln in Integration - Any Hints? (Coffee)

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