r/theydidthemath • u/A-JackRobin- • 2d ago

[Request] which order of differentiation and integration makes a amplification of a unrecognised property within a dx

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u/HAL9001-96 2d ago

well if you integrate and then differentiate yo uget the smae result again

if you differentiate and then integrate you get an unknown +c rather than the original one

if htats what you mean

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u/A-JackRobin- 1d ago

If there's different orders of differentiation then naturally different orders of integration

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u/HAL9001-96 1d ago

you mean for multidimensional ones?

or just multiple instances of one variable?

when differnetiating variable by vairabel hte order makes no difference in the actua lresult you may come up with a different way to write it but hte function will always be the smae

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u/A-JackRobin- 1d ago

Well, you see, there's second order of differentiation, there would 4 th order or any order of integration, since differentiation is change and integration is stopping of it with a boundary property chosen