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Q82Section II (Mathematics)82 of 180

Calculus of variations — polar arc length

The extremal of the functional I(r(θ))=∫θ0θr2+r′2 dθI(r(\theta))=\int_{\theta_0}^\theta\sqrt{r^2+r'^2}\,d\theta, r′=drdθr'=\frac{dr}{d\theta}, is:

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