$r(t) = (-3sint)i + (-3sint)j + (cost)k$
I got as far as:$$||r'(u)|| = sqrt{(18cos^2u + sin^2u)}$$
But I cannot evaluate $\int_0^t||r'(u)||dt$
2026-03-26 23:11:21.1774566681
Curvature of curve
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Parametrizing by arc-length is not so easy in this question. Instead, use the formula $$\kappa(t)=\frac{|r^\prime(t)\times r^{\prime\prime}(t)|}{|r^\prime(t)|^3}$$