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Quantifiably Difficult Antiderivatives
luciemorrismarr
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Jun 21, 2022
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Quantifiably Difficult Antiderivatives
math
luciemorrismarr
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Jun 21, 2022
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luciemorrismarr
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One can get arbitrarily awful by just increasing the exponent of your classical example.
nikthehat
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Jun 21, 2022
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To increase the complexity as stated, pick something with a large exponent that requires many loops through integration by parts…. Say
Sec^9(x) but you can expand it out by increasing the exponent more…
STVV_JP
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Jun 21, 2022
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This reminds me of the system Hardy once gave when evaluating the proofs of difficult integrals in terms of number of “marks” which he assigned by the number of “inversions” in the proof.
hasegawa_kun
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Jun 21, 2022
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