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

$ \displaystyle \int_C y \, dx + z \, dy + x \, dz $,

$ C: x = \sqrt{t} $, $ y = t $, $ z = t^2 $, $ 1 \leqslant t \leqslant 4 $

$\left(\frac{8}{3}+\frac{64}{3}+\frac{128}{5}\right)-\left(\frac{1}{3}+\frac{1}{3}+\frac{4}{5}\right)$

Vector Calculus

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