# Please explain how this integration is done

1. Jan 10, 2015

### bksree

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:

• ###### Rayleigh.docx
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2. Jan 10, 2015

### Stephen Tashi

Use eq (1) to Substitute $\frac{UR^2}{r^2}$ for $u$ in the integral. Doesn't the integration work out after that?

3. Jan 10, 2015

### bksree

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

Thanks again