Evaluate C (y + 6 sin(x)) dx + (z2 + 2 cos(y)) dy + x3 dz where C is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (Hint: Observe that C lies on the surface z = 2xy.) C F · dr =
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