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 Total Gaussian curvature of a surface-of-revolution strip

ID: total-gaussian-curvature-of-a-surface-of-revolution-strip

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Total Gaussian curvature of a surface-of-revolution strip by

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

a \leq x \leq b

, the curvature formula is an exact derivative and gives

\int K d A = - 2 π [\frac{f ^{'}}{1 + f ^{'2}}]_{a}^{b} .

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