# Please explain how this integration is done

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

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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?