Basic Integration Solved: Find Antiderivative of ln(x^20)^2

[Lanza52]

[SOLVED] Basic Integration

\int (ln(x^{20}))^{2}dx

Just need to find an antiderivative.

Once again, drawing a blank on the easy stuff. Could anybody tell me which method of integration to use?

 

[Lanza52]

Hrmmm..After playing with it for a long time... I feel like a middle schooler.

Partial integration didn't help. Couldn't find a working substitution. No trigonometric etc

So that means (this is just a guess) that I'm probably missing a simple little step at the beginning that is throwing me off. Been searching through little identities and looking at examples in my textbook etc.

No luck =(

Any help would be great!

 

[JasonRox]

Um... think about the law of the log function.

ln(x^2) = ?

 

[Lanza52]

Ughh...I knew it. Forgot to change ln(x^20) into 20lnx.

All that time wasted...lol

Thanks tho!

 

[JasonRox]

Ughh...I knew it. Forgot to change ln(x^20) into 20lnx.

All that time wasted...lol

Thanks tho!

You would have wasted more time if you didn't come here!