Rewrite the standard_N_q functionality

[edejong-caltech]

Purpose

Replaces quadgk with analytical integrals where possible.

To-do

Content

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• I have read and checked the items on the review checklist.

[codecov]

Codecov Report

Attention: Patch coverage is 96.96970% with 1 lines in your changes are missing coverage. Please review.

Project coverage is 97.60%. Comparing base (29b59bb) to head (de913a7).
Report is 17 commits behind head on main.

Files	Patch %	Lines
src/ParticleDistributions/ParticleDistributions.jl	96.96%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #169      +/-   ##
==========================================
- Coverage   98.17%   97.60%   -0.58%     
==========================================
  Files           8        9       +1     
  Lines         493      500       +7     
==========================================
+ Hits          484      488       +4     
- Misses          9       12       +3     

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[sajjadazimi]

Thank you! It looks good to me. The only thing is that the documentation is still about Cloudy in Microphysics. It would be good to edit it or open an issue to edit it later.