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Please explain how this integration is done

  1. Jan 10, 2015 #1

    bksree

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    Hi
    Attached is an extract of a paper by Lord Rayleigh on pressure generated during collapse of a bubble in a liquid. Will someone please explain how the RHS of equation (2) in the attachment is obtained ?

    TIA
     

    Attached Files:

    bksree, Jan 10, 2015
  2. jcsd
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  3. Jan 10, 2015 #2

    Stephen Tashi

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    Use eq (1) to Substitute [itex] \frac{UR^2}{r^2} [/itex] for [itex] u [/itex] in the integral. Doesn't the integration work out after that?
     
    Stephen Tashi, Jan 10, 2015
  4. Jan 10, 2015 #3

    bksree

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    Stephen
    Thank you. Got it now. On hindsight, what a silly question to ask.

    Thanks again
     
    bksree, Jan 10, 2015
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