AmTran_Bus
  • AmTran_Bus
Is the LIATE rule for integration by parts correct?
Mathematics
jamiebookeater
  • jamiebookeater
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SolomonZelman
  • SolomonZelman
Yes, that is the order
SolomonZelman
  • SolomonZelman
of choosing a function to differentiate
AmTran_Bus
  • AmTran_Bus
Does it always go? I'm a little hard to believe it always works.

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SolomonZelman
  • SolomonZelman
Well, it is a suggestion for user that don't know intuitively - to tell them which function should they diffeentiate. It is not a "rule" literally, as the "chain rule" - not to that extent a "rule".
SolomonZelman
  • SolomonZelman
just an advice...
SolomonZelman
  • SolomonZelman
I mean if you want: \({\displaystyle \int} wx~dx=(\int w)\cdot(x)-{\displaystyle \int} (\int w)\cdot(x)'dx\) \({\displaystyle \int} wx~dx=( wx)\cdot(x)-{\displaystyle \int} (wx)\cdot(1)dx~+C\) by parts - comes from product rule, thus should have +C (because it comes from INTEGRATING both sides of the product of the deriavtive) \({\displaystyle \int} wx~dx=( wx)\cdot(x)-{\displaystyle \int} wx~dx~+C\) \(2{\displaystyle \int} wx~dx=( wx)\cdot(x)~+C\) \(\displaystyle \int wx~dx=\frac{w}{2}x^2~+\frac{C}{2}\) \(\displaystyle \int wx~dx=\frac{w}{2}x^2~+C\)
SolomonZelman
  • SolomonZelman
i did by parts on a wx (with respect to x)
AmTran_Bus
  • AmTran_Bus
Wow super nice.
SolomonZelman
  • SolomonZelman
tnx,n,yw O~O

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