Theorems · Theorem · real analysis
integral_Ioi_rpow_of_lt
∀ {a : ℝ}, a < -1 → ∀ {c : ℝ}, 0 < c → ∫ (t : ℝ) in Set.Ioi c, t ^ a = -c ^ (a + 1) / (a + 1)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- MeasureTheory.integralstatement and proof · cited by 1,779
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.lintegral_paretoPDF_eq_oneproof · cited by 1
- Real.le_integral_rpowIntegrand₀₁_oneproof · cited by 1