refactor: create workspace & split examples from core implementation

[imrn99]

title + exclude the examples from test coverage

Content

• Scope:
  • [x] Repository
• Type of change:
  • [x] Refactor
• Necessary follow-up:
  • [x] Needs documentation: the examples lib doc could be used to describe the exact integral computed by each example

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 92.88%. Comparing base (5ea1b5d) to head (7b70d3f).

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Additional details and impacted files

```diff @@ Coverage Diff @@ ## trunk #8 +/- ## =========================================== + Coverage 60.75% 92.88% +32.13% =========================================== Files 9 3 -6 Lines 344 225 -119 =========================================== Hits 209 209 + Misses 135 16 -119 ```

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