Improper Integrals with the HP-15C LE & CE

[Valentin Albillo]

(11-19-2023 01:11 AM)Namir Wrote:  Yes the HP Prime in CAS mode gives the anwer of 2!

No need for the "!", Namir, any CAS that wouldn't instantly deliver the 2 result would be fit for the garbage bin, as this integral is but a case of f(x) = xⁿ for n = -1/2, which is as trivial to symbolically integrate as it gets, even by hand:

Integral of f(x) .dx = x^-1/2+1/(-1/2+1) + C = 2*Sqrt(x) + C.

and upon substituting the integration limits you get 2*Sqrt(1) - 2*Sqrt(0) = 2*1 - 2*0 = 2.

Regards.
V.

[Namir]

The "!" character was part of the English sentence not the factorial operator.

[Frido Bohn]

(11-19-2023 08:54 PM)Namir Wrote:  The "!" character was part of the English sentence not the factorial operator.

In this special case the result is the same, regardless of 2! as factorial or as exclamation mark.

Cheers! {exclamation mark)
Frido