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Multivariable & Vectorhard
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Evaluate the line integral ∫C(2x+y)dx+(x+3z)dy+(3y)dz\int_C (2x + y) dx + (x + 3z) dy + (3y) dz∫C​(2x+y)dx+(x+3z)dy+(3y)dz where CCC is the curve r(t)=⟨sin⁡t,cos⁡t,t2⟩\mathbf{r}(t) = \langle \sin t, \cos t, t^2 \rangler(t)=⟨sint,cost,t2⟩ for 0≤t≤π0 \le t \le \pi0≤t≤π.