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Evaluate the line integral, where $ C $ is the given curve.

$ \displaystyle \int_C x^2y \, ds $,

$ C: x = \cos t $, $ y = \sin t $, $ z = t $, $ 0 \leqslant t \leqslant \pi/2 $

$$

\frac{\sqrt{2}}{3}

$$

Vector Calculus

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