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Here we can see definition of ResourceFunction["RainbowText"].

enter image description here

The definition is quite obvious on the image (explicit open source).

We can get the definition also by code:

ResourceFunction["RainbowText", "Definition"]

When doing the same with ResourceFunction["IntegrateByParts"] we have this definition:

enter image description here

What kind of definition is it? I can not see any open source code of the function.

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You can read the definitions by using PrintDefinitions:

ResourceFunction["IntegrateByParts"];
ResourceFunctionHelpers`IntegrateByParts // GeneralUtilities`PrintDefinitions
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  • $\begingroup$ If we compare it with RainbowText why does it have to be so much obscured and cumbersome? $\endgroup$ Feb 16 at 12:45
  • $\begingroup$ In particular I am interested in how to choose custom u and v substitutions in integration by parts of that function. $\endgroup$ Feb 16 at 12:47
  • $\begingroup$ It looks like IntegrateByParts is quite a lot more complicated, which is presumably why it's hidden behind a paclet update. $\endgroup$ Feb 16 at 12:48
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    $\begingroup$ @azerbajdzan click on udvlistto get more information! $\endgroup$ Feb 16 at 12:55
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    $\begingroup$ It’s in Wolfram|Alpha internal code, hence not easy to spelunk. $\endgroup$ Feb 16 at 23:13

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