Now there is the Maple2022 worksheet in the above question.

Too complex to insert the Maple 11 version because I have  a complicated function  and further on

I do have Maplle 11 installed on my PC

The mathematician is Cramer not Crammer , see in spanish

https://es.wikipedia.org/wiki/Gabriel_Cramer

bye

I have appreciated the fast answer, thank you.
The suggested series
is compact, works well over the range of reference and converge
rapidly (10 iterations). The only problem is : how is possible to
reproduce such a result? The literature on the finite integrals
approximated by series is limited and probably reserved to the
mathematicians.