# Basic Integration

1. Oct 28, 2007

### 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?

2. Oct 28, 2007

### 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!

3. Oct 28, 2007

### JasonRox

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

ln(x^2) = ?

4. Oct 28, 2007

### Lanza52

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

All that time wasted....lol

Thanks tho!

5. Oct 28, 2007

### JasonRox

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