Integrals: Euler's constant differences

[arnoldus]

Hi,
I just learnt about Euler's constant, and I tried to do a few integrals on the Prime.
It gave very differing results.
Did I do something wrong?
https://en.wikipedia.org/wiki/Euler%27s_...#Integrals

[Albert Chan]

Under HOME, LOG is really log10.
Try LN instead. (better yet, do this in CAS side)

[arnoldus]

Oh yes, I see, it should be LN!

[C.Ret]

Bonjour tout le monde

At first, I thought that evaluating all these expressions in the HOME mode is the really good way to obtain and compare the numerical values for this constant. Also to see which methods are the fastest and most accurate.

Reading Albert Chan's remark, I tried in CAS mode. I am sure that this mode is generally much more informative, but however, I did not find any way to get the value of this constant. I have a confirmation that it is Euler's y constant !
But not the slightest idea of ​​its numerical value (even approximate) in this mode!



EDIT: Oops! Sorry, I forgot to press the SHIFT-ENTER to get the approximations ! I am bad.

[parisse]

Or enter one of the boundary as an approx number, for example type 0.0 instead of 0.

[Liamtoh Resu]

BTW for new users the inifinity sign can be made available by pressing [shift 9].

(I could not find the inifinity sign/character under the [shift vars] chars menu.