[Merged by Bors] - feat(measure_theory/integral/interval_integral): add an alternative definition #10380
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…efinition Prove that `∫ x in a..b, f x ∂μ = sgn a b • ∫ x in Ι a b, f x ∂μ`, where `sgn a b = if a ≤ b then 1 else -1`.
ericrbg
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Nov 19, 2021
urkud
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Nov 19, 2021
urkud
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Nov 19, 2021
This was referenced Nov 20, 2021
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LGTM Could you also look over the module doc and replace the two occurrences of bors d+ |
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…efinition (#10380) Prove that `∫ x in a..b, f x ∂μ = sgn a b • ∫ x in Ι a b, f x ∂μ`, where `sgn a b = if a ≤ b then 1 else -1`.
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…efinition (#10380) Prove that `∫ x in a..b, f x ∂μ = sgn a b • ∫ x in Ι a b, f x ∂μ`, where `sgn a b = if a ≤ b then 1 else -1`.
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Prove that
∫ x in a..b, f x ∂μ = sgn a b • ∫ x in Ι a b, f x ∂μ,where
sgn a b = if a ≤ b then 1 else -1.