AmTran_Bus
  • AmTran_Bus
Help with integration problem (by parts)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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AmTran_Bus
  • AmTran_Bus
|dw:1433866464450:dw|
AmTran_Bus
  • AmTran_Bus
I know|dw:1433866481311:dw|
AmTran_Bus
  • AmTran_Bus
So it is uv-integral vdu, correct?

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johnweldon1993
  • johnweldon1993
That is the correct formula yes \[\large uv - \int vdu\]
AmTran_Bus
  • AmTran_Bus
|dw:1433866588759:dw|
AmTran_Bus
  • AmTran_Bus
|dw:1433866619694:dw|
AmTran_Bus
  • AmTran_Bus
Am I good so far @johnweldon1993
johnweldon1993
  • johnweldon1993
Looks good to me just simplify a bit from here
AmTran_Bus
  • AmTran_Bus
My book says v=x. Why and how??
anonymous
  • anonymous
You should have \(dv=dx\), not \(dv=x\). Somehow you separated \(\ln x\) into \(\ln \) and \(x\), which doesn't make sense.
AmTran_Bus
  • AmTran_Bus
Hum. Ok, that makes much sense.
johnweldon1993
  • johnweldon1993
Oh yeah I was wondering about that...if this is ln(x) or ln*x
AmTran_Bus
  • AmTran_Bus
so|dw:1433866830247:dw|
anonymous
  • anonymous
Yes, carry on :)
AmTran_Bus
  • AmTran_Bus
|dw:1433866867187:dw|
AmTran_Bus
  • AmTran_Bus
So the two x's on the right can cancel, right? xlnx-integral dx?
AmTran_Bus
  • AmTran_Bus
so xlnx-x+c?
johnweldon1993
  • johnweldon1993
Looks good...I would factor out the 'x' quick to make it look better I guess? \[\large x(ln(x) - 1) + c\]
AmTran_Bus
  • AmTran_Bus
Ok. Thanks. I think I got this.

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