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Verification.TentArea

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Exact area of a median tent #

theorem Verification.integral_medianTent {r : ℝ} (hr0 : 0 ≤ r) (hr1 : r ≤ 1) :
∫ (v : ↑unitInterval), medianTent r ↑v = r ^ 2 / 4

Includes the degenerate tent r=0 and the full-width tent r=1.