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monroe17

  • 3 years ago

integral of (x^6ln(x))dx

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  1. SithsAndGiggles
    • 3 years ago
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    Integrate by parts. Like 5 or 6 times.

  2. Spacelimbus
    • 3 years ago
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    derive lnx and integrate x^6, referring to integration by parts.

  3. Spacelimbus
    • 3 years ago
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    \[\Large \int x^6\ln x dx = \frac{1}{7}x^7\ln x - \frac{1}{7}\int x^7 \cdot \frac{1}{x} \]

  4. SithsAndGiggles
    • 3 years ago
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    I take back what I said! Overthinking, yet again...

  5. Spacelimbus
    • 3 years ago
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    @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
    • 3 years ago
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    Tch, happens to the best of us.

  7. monroe17
    • 3 years ago
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    I figured it out :) thanks guys!

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