Theorems · Definition · numerical analysis
trapezoidal_integral
(ℝ → ℝ) → ℕ → ℝ → ℝ → ℝ
Integration of f from a to b using the trapezoidal rule with N+1 total evaluations of
f. (Note the off-by-one problem here: N counts the number of trapezoids, not the number of
evaluations.)
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Finset.sumproof · cited by 5,195
- Finset.rangeproof · cited by 1,341
Cited by8
Results whose statement or proof uses this declaration.
- trapezoidal_errorproof · cited by 5
- sum_trapezoidal_integral_adjacent_intervalsstatement and proof · cited by 2
- trapezoidal_error_symmproof · cited by 1
- trapezoidal_integral_eqstatement · cited by 1
- trapezoidal_integral_onestatement · cited by 1
- trapezoidal_integral_symmstatement · cited by 1
- sum_trapezoidal_error_adjacent_intervalsproof · cited by 0
- trapezoidal_integral_extstatement and proof · cited by 0