Question: Evaluate [ oint_{C} sin x d x+z cos y d y+sin y d z ] where (C) is the ellipse (4 x^{2}+9 y^{2}=36), oriented clockwise.

Evaluate

\[
\oint_{C} \sin x d x+z \cos y d y+\sin y d z
\]

where \(C\) is the ellipse \(4 x^{2}+9 y^{2}=36\), oriented clockwise.

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