Evaluate C (y sin x) dx (z 2 cos y) dy x 2 dz where C is the curve r(t) (sin t, cos t, sin 2t), 0 t 2, Observe that C lies on the surface z 2xy

Question: Evaluate C (y + sin x) dx + (z 2 + cos y) dy + x 2 dz where C is the curve r(t)

Evaluate
ʃ_C(y + sin x) dx + (z² + cos y) dy + x² dz
where C is the curve r(t) = (sin t, cos t, sin 2t), 0 < t < 2π,. Observe that C lies on the surface z = 2xy.]

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