Arc Length

114. Arc Length

𝑑 𝑠 = \sqrt{{(𝑑 𝑥)}^{2} + {(𝑑 𝑦)}^{2}}

𝑠 = \int 𝑑 𝑠 = \int \sqrt{{(𝑑 𝑥)}^{2} + {(𝑑 𝑦)}^{2}}

\int_{𝑎}^{𝑏} \sqrt{1 + {(\frac{𝑑 𝑦}{𝑑 𝑥})}^{2}} 𝑑 𝑥

\int_{𝑐}^{𝑑} \sqrt{{(\frac{𝑑 𝑦}{𝑑 𝑥})}^{2} + 1} 𝑑 𝑦