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Multivariable CalculusEasyVector Calculus

Vector Calculus · Easy problem

A wire lies along the helix r(t)=(3cos⁡t,  3sin⁡t,  4t)\mathbf r(t) = (3\cos t,\; 3\sin t,\; 4t), 0≤t≤π0\le t\le \pi. Evaluate ∫Cz ds\displaystyle\int_C z\,ds. Give your answer in terms of π\pi.