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