## anonymous 3 years ago integral of (x^6ln(x))dx

1. anonymous

Integrate by parts. Like 5 or 6 times.

2. anonymous

derive lnx and integrate x^6, referring to integration by parts.

3. anonymous

$\Large \int x^6\ln x dx = \frac{1}{7}x^7\ln x - \frac{1}{7}\int x^7 \cdot \frac{1}{x}$

4. anonymous

I take back what I said! Overthinking, yet again...

5. anonymous

@SithsAndGiggles , you wouldn't believe how often I used integration by parts when a regular substitution would have saved me 30 minutes of work (x !

6. anonymous

Tch, happens to the best of us.

7. anonymous

I figured it out :) thanks guys!