Formula:204

Digital Library of Mathematical Functions ID 1.6.E52

${\displaystyle{\displaystyle A(S)=2\pi\int^{b}_{a}|f(x)|\sqrt{1+(f^{\prime}(x))^{2}}\mathrm{d}x,}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle S}}$: parameterized surface
• ${\displaystyle{\displaystyle A(S)}}$: area of a parameterized smooth surface $$S$$ (locally)
 

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