Please explain how this integration is done

[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

 

[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?

 

[bksree]

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

Thanks again