Calculate the mass of a spring in the shape of a helix parameterized by \( \mathbf{r}(t) = \langle \cos t, \sin t, t \rangle, 0 \le t \le 6\pi \), with a density function given by \( \rho(x, y, z) = x + y + z \) kg/m.
calculus-iiiline-integralscalar-line-integralmassdensityhelixarc-lengthvector-functionstrigonometric-functionsdefinite-integralevaluate-integralfind-mass
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