Home/Calculus II/Arc length/For x=g(y)x=g(y)x=g(y):10.5. Arc lengthFor x=g(y)x=g(y)x=g(y):In 10.5. Arc lengthFormulaCopy LaTeXL=∫cd1+[g′(y)]2 dy.L=\int_c^d\sqrt{1+[g'(y)]^2}\,dy.L=∫cd1+[g′(y)]2dy.TagsantiderivativeApplicationapplications integral length of arcareavolumenVariablesgggFunción auxiliar (a menudo en composición o dominio)Found an error? Contact us.Related formulasRelatedFor y=f(x)y=f(x)y=f(x):L=∫ab1+[f′(x)]2 dx.L=\int_a^b\sqrt{1+[f'(x)]^2}\,dx.L=∫ab1+[f′(x)]2dx.Open formulaOpen in section