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## monroe17 2 years ago integral of (x^6ln(x))dx

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1. SithsAndGiggles

Integrate by parts. Like 5 or 6 times.

2. Spacelimbus

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

3. Spacelimbus

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

4. SithsAndGiggles

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

5. Spacelimbus

@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. SithsAndGiggles

Tch, happens to the best of us.

7. monroe17

I figured it out :) thanks guys!

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