HP 15C and INT(1/√(1-x),0,1)

[salvomic]

hi,
I'm trying to get in HP 15C the integral
Integrate[1/Sqrt[1 - x], {x, 0, 1}]
\[ \int_0^1{\frac{1}{\sqrt{1-x}}}dx \]
With this code:

Code:


00 LBL 1
01 CHS
02 ENTER
03 1
04 +
05 ENTER
06 SQRT
07 1/x
08 RTN

then 0 ENTER 1, f ∫ 1
The real HP15C is running but after 30 mins no result; the emulator iOS HP15 returns 1.999870566 after 1~2 min (the HP50g emulator returns 1.9999839292, the hardware HP50g doesn't return result after a few minutes...)
The actual result is 2 (Prime, Wolfram...).

I wonder:
1. Is there a better way to get it in hardware HP15C?
2. Why the result in emulator is not 2?
Thank you,
Salvo