HP50 : indefinite integral of '0^x' gives '?' and 0 for '0*x'

[Gil]

About the last answer
int(a^x)=a^x/ln(a)

to be better formulated, with x>0:
int(a^x)=a^x/ln(a) for a≠0
int(a^x)=constant, else (for a=0) ?

Regarding that "stupid" function 0^X, it seems to be defined for X>0.

Note that the area (zero!) is correct
when setting real bounds and then the numerical calculation is requested (—>NUM) with the HP50G, but not with the EVAL command.

But if you put bounds like variables named a and b, you won't get the expected 0 value with the HP50G, supposing of course x>0 (or the infinity when x<0).