Theorems · Theorem · numerical analysis
trapezoidal_integral_one
∀ (f : ℝ → ℝ) (a b : ℝ), trapezoidal_integral f 1 a b = (b - a) / 2 * (f a + f b)
An exact formula for integration with a single trapezoid (the "midpoint rule").
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- trapezoidal_integralstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- sum_trapezoidal_integral_adjacent_intervalsproof · cited by 2