trapezoidal_integral_symm

∀ (f : ℝ → ℝ) {N : ℕ}, 0 < N → ∀ (a b : ℝ), trapezoidal_integral f N a b = -trapezoidal_integral f N b a

Just like exact integration, the trapezoidal approximation retains the same magnitude but changes sign when the endpoints are swapped.

Defined in: Mathlib.MeasureTheory.Integral.IntervalIntegral.TrapezoidalRule
Cited by: 1 results in Mathlib
Foundations: Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

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