Home/Calculus II/Arc length/For y=f(x)y=f(x)y=f(x):10.5. Arc lengthFor y=f(x)y=f(x)y=f(x):In 10.5. Arc lengthFormulaCopy LaTeXL=∫ab1+[f′(x)]2 dx.L=\int_a^b\sqrt{1+[f'(x)]^2}\,dx.L=∫ab1+[f′(x)]2dx.TagsantiderivativeApplicationapplications integral length of arcareavolumenExplore the ideaExplore the ideaVariablesxxxVariable independiente (variable de integración)aaaConstante real (a menudo a>0a>0a>0)bbbReal constantfffFunción integrandodxdxdxDiferencial respecto de xxxFound an error? Contact us.Related formulasRelatedFor x=g(y)x=g(y)x=g(y):L=∫cd1+[g′(y)]2 dy.L=\int_c^d\sqrt{1+[g'(y)]^2}\,dy.L=∫cd1+[g′(y)]2dy.Open formulaOpen in section