Issues with integral

[Mordicus1973]

Hello,

i try to compute this integral
int(1/(sqrt(cos(x))+sqrt(sin(x)))^4,x,0,pi/2)

The calculator simply hang, i can't stop computing. in the emulator it show some messages and don't do the computation.

When i do the same computation on Nspire or wolfram, i have to right answer (1/3).

I have tested with xcas on Linux (icas), it can't compute this integral.