Question Number 3291 by Rasheed Soomro last updated on 09/Dec/15
$$\mathcal{A}\:{curve}\:{is}\:{defined}\:\:{by}\:{f}\left({x}\right).\mathcal{W}{hat}\:{is}\:{the}\:{length} \\ $$$${of}\:{curve}\:{from}\:{x}={a}\:\:{to}\:\:{x}={b}\:? \\ $$
Answered by 123456 last updated on 09/Dec/15
$$\mathrm{if}\:{f}\:\mathrm{is}\:\mathrm{differentiable} \\ $$$$\underset{{a}} {\overset{{b}} {\int}}\sqrt{\mathrm{1}+\left(\frac{{df}}{{dx}}\right)^{\mathrm{2}} }{dx} \\ $$
Commented by Rasheed Soomro last updated on 09/Dec/15
$$\mathcal{TH}\boldsymbol{\alpha}{n}\mathcal{K}^{\mathcal{S}} \:! \\ $$