Prove a simple reduction formula (I get it almost right)

**s3a** · February 23rd 2010, 08:59 AM

My answer would be correct if I didn't have that extra x variable. Why do I have it and how do I get rid of it?

Any input would be greatly appreciated!
Thanks in advance!

**Ted** · February 23rd 2010, 09:05 AM

Originally Posted by s3a

My answer would be correct if I didn't have that extra x variable. Why do I have it and how do I get rid of it?

Any input would be greatly appreciated!
Thanks in advance!

Your $du$ is wrong. It should be : $du = n \left( ln(x) \right) ^{n-1} {\color{red} \frac{1}{x}} dx$ .

Recall that:
If $n \in R$ and $y=\left( f(x) \right)^n$ , then:
$y' = n \left( f(x) \right)^{n-1} {\color{red} f'(x)}$ .

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