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Theorems · Theorem · real analysis

not_integrableOn_Ioi_rpow

∀ (s : ℝ), ¬MeasureTheory.IntegrableOn (fun x => x ^ s) (Set.Ioi 0) MeasureTheory.volume

The real power function with any exponent is not integrable on (0, +∞).

Defined in
Mathlib.Analysis.SpecialFunctions.ImproperIntegrals
Cited by
1 results in Mathlib
Foundations
Depth 280 from the axioms · uses propext, Classical.choice, Quot.sound

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