Question Number 3190 by Filup last updated on 07/Dec/15
$$\mathrm{How}\:\mathrm{do}\:\mathrm{you}\:\mathrm{find}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of} \\ $$$$\mathrm{a}\:\mathrm{curve}\:\mathrm{between}\:{f}\left({a}\right)\:\mathrm{and}\:{f}\left({b}\right)? \\ $$
Commented by 123456 last updated on 07/Dec/15
$$\mathrm{wath}\:\mathrm{you}\:\mathrm{mean}\:\mathrm{by}\:\mathrm{lenght}\:\mathrm{of}\:\mathrm{curve}? \\ $$$$\mathrm{if}\:\mathrm{i}\:\mathrm{undestand}\:\mathrm{right},\:\mathrm{if}\:{f}\:\mathrm{is}\:\mathrm{continuous} \\ $$$$\mathrm{and}\:\mathrm{diferenciable} \\ $$$$\mathrm{L}_{{a},{b}} =\mid\underset{{a}} {\overset{{b}} {\int}}\sqrt{\mathrm{1}+\left(\frac{{df}}{{dx}}\right)^{\mathrm{2}} }{dx}\mid \\ $$
Commented by Filup last updated on 07/Dec/15
$${Yes}!\:\mathrm{That}\:\mathrm{is}\:\mathrm{what}\:\mathrm{i}\:\mathrm{was}\:\mathrm{trying}\:\mathrm{to} \\ $$$$\mathrm{remember}!\:\mathrm{Thank}\:\mathrm{you}! \\ $$