What is the integration shortcut taught in China?

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The forum discussion centers on an integration shortcut reportedly taught in China, which remains unnamed. A user suggests that the claim of exclusivity to China is likely unfounded and proposes the technique of differentiating the integrand with respect to a constant, a method associated with physicist Richard Feynman. This method is distinct from path integrals, another technique linked to Feynman. Additionally, the concept of Tabular Integration is mentioned as a potential related technique.

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  • Understanding of basic calculus concepts, particularly integration.
  • Familiarity with differentiation techniques, especially with respect to constants.
  • Knowledge of Richard Feynman's contributions to calculus and physics.
  • Awareness of Tabular Integration methods.
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  • Research the technique of differentiating the integrand with respect to constants, specifically in relation to Richard Feynman.
  • Explore Tabular Integration methods and their applications in calculus.
  • Investigate common integration shortcuts used in various educational systems, including those in China.
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I was recently talking to a doctor who told me he had a good friend who happened to be Chinese foreign exchange student both of whom were math majors. The doctors friend showed him an integration shortcut apparently taught in china. Only problem is I can't remember the name of this "shortcut" for the life of me. Any ideas of what it could be?
 
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bbryant33 said:
I was recently talking to a doctor who told me he had a good friend who happened to be Chinese foreign exchange student both of whom were math majors. The doctors friend showed him an integration shortcut apparently taught in china. Only problem is I can't remember the name of this "shortcut" for the life of me. Any ideas of what it could be?



An electronic calculator...?

DonAntonio

Pd. Sorry for the joke: it sucks.
 
bbryant33 said:
Any ideas of what it could be?

I always have ideas. They aren't always correct, of course.

My guess:

The business about "only taught in China" is probably nonsense. It might be an unusual method like the technique that involves differentiating the integrand with respect to a constant that appears in it (such as \pi). The famous physicist Richard Feynman was noted for his use of this method. You can probably find articles about it if you include Feynman as a keyword. (I don't think this has anything to do with path integrals, another technique that he was famous for.)
 
Last edited:
Stephen Tashi said:
(I don't think this has anything to do with path integrals, another technique that he was famous for.)
No, it doesn't.
 
Tabular Integration?

http://www.maa.org/pubs/Calc_articles/ma035.pdf
 
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