DLMF:1.6.E53 (Q234)

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DLMF:1.6.E53
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    A ( S ) = 2 π a b | x | 1 + ( f ( x ) ) 2 d x . 𝐴 𝑆 2 𝜋 subscript superscript 𝑏 𝑎 𝑥 1 superscript superscript 𝑓 𝑥 2 𝑥 {\displaystyle{\displaystyle A(S)=2\pi\int^{b}_{a}|x|\sqrt{1+(f^{\prime}(x))^{% 2}}\mathrm{d}x.}}
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