Home/Calculus II/Error bounds/Formula11.4. Error boundsFormulaIn 11.4. Error boundsFormulaCopy LaTeX∣EM∣≤K2(b−a)324n2.|E_M|\le\frac{K_2(b-a)^3}{24n^2}.∣EM∣≤24n2K2(b−a)3.Tagsantiderivativeapproximationintegration numericalintegration numerical bounds of errorVariablesaaaConstante real (a menudo a>0a>0a>0)bbbReal constantnnnExponente o índice enteroFound an error? Contact us.Related formulasRelatedIf ∣f′′(x)∣≤K2|f''(x)|\le K_2∣f′′(x)∣≤K2 on [a,b][a,b][a,b]:∣ET∣≤K2(b−a)312n2|E_T|\le\frac{K_2(b-a)^3}{12n^2}∣ET∣≤12n2K2(b−a)3Open formulaOpen in sectionRelatedIf ∣f(4)(x)∣≤K4|f^{(4)}(x)|\le K_4∣f(4)(x)∣≤K4 and nnn is even:∣ES∣≤K4(b−a)5180n4.|E_S|\le\frac{K_4(b-a)^5}{180n^4}.∣ES∣≤180n4K4(b−a)5.Open formulaOpen in section