Don't some integrals work better when you do partial fraction decomposition with rationalized numerators? Unfortunately, I've been relying on symbolic algebra systems for so long, that I don't have an integral table handy to find an example for you! At 06:11 PM 1/22/2018, James Propp wrote:

Can anyone think of a problem for which the trick is that you should rationalize numerators rather than denominators? Or more generally leave combinations of surds in some nonstandard but tactically helpful form?

Jim Propp