Problems of HP prime with triple integrals?

[Nigel (UK)]

Any calculator will have trouble with triple integrals that don't factorise into a product of single-variable integrals. To evaluate such an integral numerically to a high degree of precision requires of the order of \(N^3\) points, compared with \(N\) points for similar precision for a single-variable integral.

Your integral factorises, so calculators that spot this can evaluate it rapidly. The Prime doesn't appear to check for this, so it evaluates the integral the long way.

I would guess that for multiple integrals that don't factorise the Prime and TI NSpire would be comparable, with the Titanium way behind!

Having said that, I am surprised that the Prime didn't finish at all. Perhaps there is a problem.

Nigel (UK)