Some integrals with problematic evaluation

[quinyu]

Found an integral that essentially freezes the Prime as well as the web-based or binary version of Xcas:

Code:

int(sqrt(sqrt(sec(x)+1)-sqrt(sec(x)-1)))

The Prime tells me

Code:

Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):
Check [abs(cos(x))]

While it's true that the integral is nasty, it does have a closed form. It's more the issue of freezing/locking up that's to be corrected, at this point; also, there is no hourglass visible, but I do assume that the calculator remains busy one way or another... might be a completely unrelated bug, or perhaps not.